maths addition and subtraction homework

Addition Worksheets

Welcome to the addition worksheets page at Math-Drills.com where we will add to your learning experience in many positive ways! On this page, you will find Addition worksheets from addition facts and two-digit addition to column addition and addition with games. In the first section, we've included a few addition printables that should help out the beginning student. Teaching addition facts is best done with some interesting teaching strategies.

Some teachers and parents use addition manipulatives to help students understand the basic addition facts. For example, adding groups of "Apple Jacks" (a breakfast cereal) by counting will quickly lead students to understand the concepts of addition. The sooner you can introduce base ten blocks to your students, the better. If you haven't already used them for counting, use them for basic addition and show students how regrouping works.

Most Popular Addition Worksheets this Week

Addition Facts Tables

Disputably not a great way to learn addition facts, but undeniably a great way to summarize, addition facts tables are an invaluable resource in any home or school classroom. Addition works very well as a table since the addends can be sequential. Encourage students to look for patterns and teach them a variety of strategies to learn the addition facts. For students who have not yet memorized their addition facts but need to know them for a more advanced math lesson such as adding two-digit numbers, provide an addition facts table to them, so they can quickly look up addition facts. After a while, they will most likely learn the facts through the use of the table and become less reliant on it. To make the tables more durable, print them on card stock and laminate them. They can be displayed on a screen or enlarged and printed on poster paper for whole class use.

• Addition Facts in One Square Table Addition Facts Table 1 to 10 (Filled In) Addition Facts Table 1 to 10 (Blank) Addition Facts Table 0 to 9 (Filled In) Addition Facts Table 0 to 9 (Blank) Left-Handed Addition Facts Table Left-Handed Blank Addition Facts Table All Addition Facts Tables Addition Facts Tables With One Fact at a time highlighted
• Addition Facts in Separate Tables Single Addition Facts Tables in Gray 1 to 12 Single Addition Facts Tables in Color 1 to 12 Single Addition Facts Tables in Montessori Colors 1 to 12

Five Minute Addition Frenzies

Five minute frenzy charts are 10 by 10 grids for addition fact practice. In each square, students write the sum of the column number and the row number.

Called mad minutes or timed drills by some, five minute frenzies are meant to be timed to add a little more excitement to practicing addition facts. They are ideally used to increase a student's ability to recall addition facts quickly which has all sorts of benefits later in their school life including preventing high school teachers from complaining about "how their students can't even add single-digit numbers without using a calculator."

A general goal to achieve would be to complete one chart in less than five minutes and score 98 percent or better, however, we recommend setting personal goals for students based on an initial test. If they are banging their head against the wall after a couple of minutes with only a few questions done, they really shouldn't be completing a timed addition facts drill at the moment. They still have some learning to do. We would recommend breaking out the manipulatives at this point. If they blast through the questions in 1.5 minutes and get almost all of them correct, they are probably ready for something a little more challenging.

One-per-page addition frenzies are not the most efficient use of paper resources, but they are a good starting point especially for younger students who have not quite mastered their penmanship enough to fit their numbers into a smaller chart. They are also great for displaying on screens or monitors for group activities. For example, you might use an interactive white board to fill out the chart.

• Five Minute Addition Frenzies Addition Frenzy ( 1 to 10 ) Addition Frenzy ( 11 to 20 ) Addition Frenzy ( 21 to 50 ) Addition Frenzy ( 51 to 100 )
• Left-handed Five Minute Addition Frenzies Left-handed Addition Frenzy ( 1 to 10 ) Left-handed Addition Frenzy ( 11 to 20 ) Left-handed Addition Frenzy ( 21 to 50 ) Left-handed Addition Frenzy ( 51 to 100 )

A wiser use of paper and photo-copy limits, having four charts on a page allows for multi-day practice, collaborative work or through the use of a paper-cutter, a quick stack of practice pages for students who finish early.

• Five Minute Addition Frenzies (Four Per Page) Four Addition Frenzies ( 1 to 10 ) Four Addition Frenzies ( 11 to 20 ) Four Addition Frenzies ( 21 to 50 ) Four Addition Frenzies ( 51 to 100 )
• Left-handed Five Minute Addition Frenzies (Four Per Page) Left-handed Four Addition Charts Per Page ( 1 to 10 ) Left-handed Four Addition Charts Per Page ( 11 to 20 ) Left-handed Four Addition Charts Per Page ( 21 to 50 ) Left-handed Four Addition Charts Per Page ( 51 to 100 )

Single-Digit Addition

Most people would agree that being able to add single-digit numbers quickly and in your head is an essential skill for success in math. The various addition worksheets in this section focus on skills that students will use their entire life. These worksheets will not magically make a student learn addition, but they are valuable for reinforcement and practice and can also be used as assessment tools.

• Single-Digit Addition with Some Regrouping 100 Single-Digit Addition Questions with Some Regrouping ✎ 81 Single-Digit Addition Questions with Some Regrouping ✎ 64 Single-Digit Addition Questions with Some Regrouping ✎ 50 Single-Digit Addition Questions with Some Regrouping ✎ 25 Single-Digit Addition Questions with Some Regrouping ✎ 12 Single-Digit Addition Questions with Some Regrouping ✎
• Single-Digit Addition with No Regrouping 100 Single-Digit Addition Questions with No Regrouping 64 Single-Digit Addition Questions with No Regrouping 25 Single-Digit Addition Questions with No Regrouping 12 Single-Digit Addition Questions with No Regrouping
• Single-Digit Addition with All Regrouping 100 Single-Digit Addition Questions with All Regrouping 64 Single-Digit Addition Questions with All Regrouping 25 Single-Digit Addition Questions with All Regrouping 12 Single-Digit Addition Questions with All Regrouping
• Horizontally Arranged Single-Digit Addition Horizontally Arranged Single-Digit Addition Facts (100 Questions) ✎ Horizontally Arranged Single-Digit Addition Facts (50 Questions) ✎ Horizontal Numbers that Add to 10 Horizontally Arranged Single-Digit Addition Facts up to 5 + 5 (100 Questions) ✎ Horizontally Arranged Single-Digit Addition Facts up to 6 + 6 (100 Questions) ✎ Horizontally Arranged Single-Digit Addition Facts up to 7 + 7 (100 Questions) ✎ Horizontally Arranged Single-Digit Addition Facts up to 8 + 8 (100 Questions) ✎
• Horizontally Arranged Single-Digit Addition of More than Two Addends Adding 3 Single-Digit Numbers Horizontally Adding 4 Single-Digit Numbers Horizontally Adding 5 Single-Digit Numbers Horizontally Adding 10 Single-Digit Numbers Horizontally
• Horizontally Arranged Single-Digit Addition with No Regrouping Horizontal Addition Facts with No Regrouping 100 per page Horizontal Addition Facts with No Regrouping and No Zeros 100 per page Horizontal Addition Facts with No Regrouping 50 per page
• Horizontally Arranged Single-Digit Addition with All Regrouping Horizontal Addition Facts with All Regrouping 100 per page Horizontal Addition Facts with All Regrouping 50 per page

The make ten addition strategy involves "spliting" the second addend into two parts. The first part combines with the first addend to make ten and the second part is the leftover amount. The strategy helps students quickly add amounts over ten in their head. For example, adding 8 + 7, students first recognize that they need to add 2 to 8 to get 10, so they split the 7 into 2 + 5. The 8 + 2 makes 10 and 5 more makes 15. The skill can be extended to many situations, for example adding 24 + 9, students recognize that they need 6 more to get to 30 and 9 can be split into 6 + 3, so 24 + 6 = 30 and 3 more makes 33. Continuing on, students can work on recognizing "complements" of other important numbers (see section further down) to develop this strategy further.

• Make 10 Addition Strategy Make 10 Addition Strategy Make 10 Addition Strategy Blanks Make 20 Addition Strategy Make 30 Addition Strategy Make 40 Addition Strategy Make 50 Addition Strategy Make 60 Addition Strategy Make 70 Addition Strategy Make 80 Addition Strategy Make 90 Addition Strategy Make Multiples of 10 Addition Strategy

Focusing on one number at a time is necessary for some students. Maybe they get overwhelmed with too much information and need to experience success in small steps.

• Adding Focus or Target Facts (50 Questions) Adding 0 to Single-Digit Numbers (50 Questions) ✎ Adding 1 to Single-Digit Numbers (50 Questions) ✎ Adding 2 to Single-Digit Numbers (50 Questions) ✎ Adding 1 or 2 to Single-Digit Numbers (50 Questions) ✎ Adding 3 to Single-Digit Numbers (50 Questions) ✎ Adding 4 to Single-Digit Numbers (50 Questions) ✎ Adding 5 to Single-Digit Numbers (50 Questions) ✎ Adding 6 to Single-Digit Numbers (50 Questions) ✎ Adding 7 to Single-Digit Numbers (50 Questions) ✎ Adding 8 to Single-Digit Numbers (50 Questions) ✎ Adding 9 to Single-Digit Numbers (50 Questions) ✎
• Adding Focus or Target Facts (25 Large Print Questions) Adding 0 to Single-Digit Numbers (25 Large Print Questions) ✎ Adding 1 to Single-Digit Numbers (25 Large Print Questions) ✎ Adding 2 to Single-Digit Numbers (25 Large Print Questions) ✎ Adding 3 to Single-Digit Numbers (25 Large Print Questions) ✎ Adding 4 to Single-Digit Numbers (25 Large Print Questions) ✎ Adding 5 to Single-Digit Numbers (25 Large Print Questions) ✎ Adding 6 to Single-Digit Numbers (25 Large Print Questions) ✎ Adding 7 to Single-Digit Numbers (25 Large Print Questions) ✎ Adding 8 to Single-Digit Numbers (25 Large Print Questions) ✎ Adding 9 to Single-Digit Numbers (25 Large Print Questions) ✎
• Adding Focus or Target Facts (25 Questions) with Sums Limited to 12 Adding 1 to Single-Digit Numbers With Sums Limited to 12 (25 Large Print Questions) ✎ Adding 2 to Single-Digit Numbers With Sums Limited to 12 (25 Large Print Questions) ✎ Adding 3 to Single-Digit Numbers With Sums Limited to 12 (25 Large Print Questions) ✎ Adding 4 to Single-Digit Numbers With Sums Limited to 12 (25 Large Print Questions) ✎ Adding 5 to Single-Digit Numbers With Sums Limited to 12 (25 Large Print Questions) ✎ Adding 6 to Single-Digit Numbers With Sums Limited to 12 (25 Large Print Questions) ✎ Adding 7 to Single-Digit Numbers With Sums Limited to 12 (25 Large Print Questions) ✎ Adding 8 to Single-Digit Numbers With Sums Limited to 12 (25 Large Print Questions) ✎ Adding 9 to Single-Digit Numbers With Sums Limited to 12 (25 Large Print Questions) ✎
• Horizontally-Arranged Adding Focus or Target Facts 100 Horizontal Adding 1s to Single-Digit Numbers Questions 100 Horizontal Adding 2s to Single-Digit Numbers Questions 50 Adding 1s and 2s to Single-Digit Numbers Questions 100 Horizontal Adding 3s to Single-Digit Numbers Questions 100 Horizontal Adding 4s to Single-Digit Numbers Questions 100 Horizontal Adding 5s to Single-Digit Numbers Questions 100 Horizontal Adding 6s to Single-Digit Numbers Questions 100 Horizontal Adding 7s to Single-Digit Numbers Questions 100 Horizontal Adding 8s to Single-Digit Numbers Questions 100 Horizontal Adding 9s to Single-Digit Numbers Questions

Multi-Digit Addition

A variety of strategies can be used to learn multi-digit addition; it isn't necessary to rely only on paper and pencil methods. Base ten blocks can help students conceptualize addition. Teaching students a mental left-to-right addition skill will help them in future math studies and life in general. E.g. 34 + 78 would be 30 + 70 = 100, 100 + 4 = 104, 104 + 8 = 112. Don't forget about using estimation with these worksheets.

• Multi-Digit Addition with Some Regrouping 2-Digit plus 1-Digit Addition (25 Questions) ✎ 2-Digit Plus 1-Digit Addition (36 Questions) ✎ 2-Digit plus 1-Digit Addition (64 Questions) ✎ 2-Digit plus 1-Digit Addition (100 Questions) ✎ 2-Digit plus 1-Digit Addition ( Sums Less Than 100 ) (25 Questions) 2-Digit Addition (25 Questions) ✎ 2-Digit Addition (36 Questions) ✎ 2-Digit Addition (64 Questions) ✎ 2-Digit Addition (100 Questions) ✎ 3-Digit Plus 1-Digit Addition (25 Questions) ✎ 3-Digit Plus 1-Digit Addition (36 Questions) ✎ 3-Digit Plus 2-Digit Addition (25 Questions) ✎ 3-Digit Plus 2-Digit Addition (36 Questions) ✎ 3-Digit Plus 2-Digit Addition (49 Questions) ✎ 3-Digit Plus 2-Digit Addition (100 Questions) ✎ 3-Digit Addition (25 Questions) ✎ 3-Digit Addition (36 Questions) ✎ 3-Digit Addition (49 Questions) ✎ 3-Digit Addition (100 Questions) ✎ 4-Digit Plus 1-Digit Addition (25 Questions) ✎ 4-Digit Plus 1-Digit Addition (36 Questions) ✎ 4-Digit Plus 2-Digit Addition (25 Questions) ✎ 4-Digit Plus 2-Digit Addition (36 Questions) ✎ 4-Digit Plus 3-Digit Addition (25 Questions) ✎ 4-Digit Plus 3-Digit Addition (36 Questions) ✎ 4-Digit Plus 3-Digit Addition (49 Questions) ✎ 4-Digit Plus 3-Digit Addition (100 Questions) ✎ 4-Digit Addition (25 Questions) ✎ 4-Digit Addition (36 Questions) ✎ 4-Digit Addition (49 Questions) ✎ 4-Digit Addition (100 Questions) ✎ 5-Digit Addition (25 Questions) ✎ Various 2-digit to 4-digit Addition (25 Questions) ✎ Various 2-Digit to 4-Digit Addition (36 Questions) ✎ Various 2-digit to 5-digit Addition (20 Questions) ✎ Various 2-Digit to 5-Digit Addition (36 Questions) ✎ Various 3-digit to 5-digit Addition (20 Questions) ✎ Various 3-Digit to 5-Digit Addition (36 Questions) ✎ 6-Digit Addition (20 Questions) ✎ 7-Digit Addition (15 Questions) ✎ 8-Digit Addition (15 Questions) ✎ 9-Digit Addition (15 Questions) ✎ 3-Digit Expanded Form Addition

Regrouping is what long addition is all about; these worksheets give students a lot of practice since every step requires regrouping.

• Multi-Digit Addition with All Regrouping 2-Digit Plus 1-Digit Addition with ALL Regrouping in the Ones Place (25 Questions) ✎ 2-Digit Addition with ALL Regrouping (25 Questions) ✎ 2-Digit Addition with ALL Regrouping (36 Questions) ✎ 3-Digit Addition with ALL Regrouping (25 Questions) ✎ 4-Digit Addition with ALL Regrouping (25 Questions) ✎ 5-Digit Addition with ALL Regrouping (20 Questions) ✎ 6-Digit Addition with ALL Regrouping (20 Questions) ✎ 7-Digit Addition with ALL Regrouping (15 Questions) ✎ 8-Digit Addition with ALL Regrouping (15 Questions) ✎ 9-Digit Addition with ALL Regrouping (15 Questions) ✎

If you haven't quite mastered all the addition facts or the long addition algorithm, these might be the worksheets for you. These worksheets don't require any regrouping, so they provide an extra in-between skill for students who require a little more guidance.

• Multi-Digit Addition with No Regrouping 2-Digit Plus 1-Digit Addition with NO Regrouping (25 Questions) ✎ 2-Digit Addition with NO Regrouping (25 Questions) ✎ 2-Digit Addition with NO Regrouping (36 Questions) ✎ 2-Digit Addition with NO Regrouping (64 Questions) ✎ 2-Digit Addition with NO Regrouping (100 Questions) ✎ 3-Digit Plus 1-Digit Addition with NO Regrouping (25 Questions) ✎ 3-Digit Plus 2-Digit Addition with NO Regrouping (25 Questions) ✎ 3-Digit Addition with NO Regrouping (25 Questions) ✎ 4-Digit Plus 1-Digit Addition with NO Regrouping (25 Questions) ✎ 4-Digit Plus 2-Digit Addition with NO Regrouping (25 Questions) ✎ 4-Digit Plus 3-Digit Addition with NO Regrouping (25 Questions) ✎ 4-Digit Addition with NO Regrouping (25 Questions) ✎ 5-Digit Addition with NO Regrouping (20 Questions) ✎ 6-Digit Addition with NO Regrouping (20 Questions) ✎ 7-Digit Addition with NO Regrouping (20 Questions) ✎ 8-Digit Addition with NO Regrouping (15 Questions) ✎ 9-Digit Addition with NO Regrouping (15 Questions) ✎

Horizontal addition can encourage students to use mental math or other strategies to add numbers. One of the most common mental math strategies for addition is a left-to-right (also called front end) addition strategy. This involves adding the greater place values first. Other strategies for adding multi-digit numbers include using base ten blocks or other manipulatives, number lines, decomposing numbers and adding the parts, and using a calculator.

• Horizontally Arranged Multi-Digit Addition Adding to 20 with the Second Addend Greater 2-Digit Plus 2-Digit Horizontal Addition with no Regrouping Horizontally Arranged 2-Digit Plus 2-Digit Addition ✎ Horizontally Arranged 3-Digit Plus 2-Digit Addition ✎ Horizontally Arranged 3-Digit Plus 3-Digit Addition ✎ Horizontally Arranged Various 2- and 3-Digit Addition ✎ Horizontally Arranged 4-Digit Plus 3-Digit Addition ✎ Horizontally Arranged 4-Digit Plus 4-Digit Addition ✎ Horizontally Arranged Various 2- to 4-Digit Addition ✎
• Horizontally Arranged Multi-Digit Addition of More Than Two Addends Adding 3 Two-Digit Numbers Horizontally Adding 4 Two-Digit Numbers Horizontally Adding 5 Two-Digit Numbers Horizontally Adding 10 Two-Digit Numbers Horizontally
• Adding Focus or Target Facts Greater Than 9 25 Adding 10s Questions ✎ 50 Adding 10s Questions ✎ 50 Adding 11s Questions ✎ 50 Adding 12s Questions ✎ 50 Adding 13s Questions ✎ 50 Adding 14s Questions ✎ 50 Adding 15s Questions ✎ 50 Adding 16s Questions ✎ 50 Adding 17s Questions ✎ 50 Adding 18s Questions ✎ 50 Adding 19s Questions ✎ 50 Adding 20s Questions ✎

Using a comma to separate thousands is the most common way to format large numbers in the English world.

• Multi-Digit Addition with Some Regrouping (Comma-Separated Thousands) Adding 4-Digit Numbers (Comma Separated) (25 Questions) ✎ Adding 5-Digit Numbers (Comma Separated) (20 Questions) ✎ Adding 6-Digit Numbers (Comma Separated) (20 Questions) ✎ Adding 7-Digit Numbers (Comma Separated) (15 Questions) ✎ Adding 8-Digit Numbers (Comma Separated) (15 Questions) ✎ Adding 9-Digit Numbers (Comma Separated) (15 Questions) ✎
• Multi-Digit Addition with All Regrouping (Comma-Separated Thousands) Adding 4-Digit Numbers with ALL Regrouping (Comma Separated) (25 Questions) ✎ Adding 5-Digit Numbers with ALL Regrouping (Comma Separated) (20 Questions) ✎ Adding 6-Digit Numbers with ALL Regrouping (Comma Separated) (20 Questions) ✎ Adding 7-Digit Numbers with ALL Regrouping (Comma Separated) (15 Questions) ✎ Adding 8-Digit Numbers with ALL Regrouping (Comma Separated) (15 Questions) ✎ Adding 9-Digit Numbers with ALL Regrouping (Comma Separated) (15 Questions) ✎
• Multi-Digit Addition with No Regrouping (Comma-Separated Thousands) Adding 4-Digit Numbers with NO Regrouping (Comma Separated) (25 Questions) ✎ Adding 5-Digit Numbers with NO Regrouping (Comma Separated) (20 Questions) ✎ Adding 6-Digit Numbers with NO Regrouping (Comma Separated) (20 Questions) ✎ Adding 7-Digit Numbers with NO Regrouping (Comma Separated) (15 Questions) ✎ Adding 8-Digit Numbers with NO Regrouping (Comma Separated) (15 Questions) ✎ Adding 9-Digit Numbers with NO Regrouping (Comma Separated) (15 Questions) ✎

Using a space to separate thousands in large numbers is common in some languages. In the English world, you will most likely find Canadians formatting their numbers in this way.

• Multi-Digit Addition with Some Regrouping (Space-Separated Thousands) Adding 4-Digit Numbers (Space Separated) (25 Questions) ✎ Adding 5-Digit Numbers (Space Separated) (20 Questions) ✎ Adding 6-Digit Numbers (Space Separated) (20 Questions) ✎ Adding 7-Digit Numbers (Space Separated) (15 Questions) ✎ Adding 8-Digit Numbers (Space Separated) (15 Questions) ✎ Adding 9-Digit Numbers (Space Separated) (15 Questions) ✎
• Multi-Digit Addition with All Regrouping (Space-Separated Thousands) Adding 4-Digit Numbers with ALL Regrouping (Space Separated) (25 Questions) ✎ Adding 5-Digit Numbers with ALL Regrouping (Space Separated) (20 Questions) ✎ Adding 6-Digit Numbers with ALL Regrouping (Space Separated) (20 Questions) ✎ Adding 7-Digit Numbers with ALL Regrouping (Space Separated) (15 Questions) ✎ Adding 8-Digit Numbers with ALL Regrouping (Space Separated) (15 Questions) ✎ Adding 9-Digit Numbers with ALL Regrouping (Space Separated) (15 Questions) ✎
• Multi-Digit Addition with No Regrouping (Space-Separated Thousands) Adding 4-Digit Numbers with NO Regrouping (Space Separated) (25 Questions) ✎ Adding 5-Digit Numbers with NO Regrouping (Space Separated) (20 Questions) ✎ Adding 6-Digit Numbers with NO Regrouping (Space Separated) (20 Questions) ✎ Adding 7-Digit Numbers with NO Regrouping (Space Separated) (15 Questions) ✎ Adding 8-Digit Numbers with NO Regrouping (Space Separated) (15 Questions) ✎ Adding 9-Digit Numbers with NO Regrouping (Space Separated) (15 Questions) ✎

Using a period as a thousands separator is not generally seen in English-speaking countries, but since there are people from around the world who use these addition worksheets, they are included.

• Multi-Digit Addition with Some Regrouping (Period-Separated Thousands) Adding 4-Digit Numbers (Period Separated) (25 Questions) ✎ Adding 5-Digit Numbers (Period Separated) (20 Questions) ✎ Adding 6-Digit Numbers (Period Separated) (20 Questions) ✎ Adding 7-Digit Numbers (Period Separated) (15 Questions) ✎ Adding 8-Digit Numbers (Period Separated) (15 Questions) ✎ Adding 9-Digit Numbers (Period Separated) (15 Questions) ✎
• Multi-Digit Addition with All Regrouping (Period-Separated Thousands) Adding 4-Digit Numbers with ALL Regrouping (Period Separated) (25 Questions) ✎ Adding 5-Digit Numbers with ALL Regrouping (Period Separated) (20 Questions) ✎ Adding 6-Digit Numbers with ALL Regrouping (Period Separated) (20 Questions) ✎ Adding 7-Digit Numbers with ALL Regrouping (Period Separated) (15 Questions) ✎ Adding 8-Digit Numbers with ALL Regrouping (Period Separated) (15 Questions) ✎ Adding 9-Digit Numbers with ALL Regrouping (Period Separated) (15 Questions) ✎
• Multi-Digit Addition with No Regrouping (Period-Separated Thousands) Adding 4-Digit Numbers with NO Regrouping (Period Separated) (25 Questions) ✎ Adding 5-Digit Numbers with NO Regrouping (Period Separated) (20 Questions) ✎ Adding 6-Digit Numbers with NO Regrouping (Period Separated) (20 Questions) ✎ Adding 7-Digit Numbers with NO Regrouping (Period Separated) (15 Questions) ✎ Adding 8-Digit Numbers with NO Regrouping (Period Separated) (15 Questions) ✎ Adding 9-Digit Numbers with NO Regrouping (Period Separated) (15 Questions) ✎

For various reasons, sometimes you need addition questions in a larger font. These should fit the bill.

• Large Print Multi-Digit Addition with Some Regrouping 2-digit Plus 1-digit Addition with SOME Regrouping (Large Print) (16 Questions) ✎ 3-digit Plus 1-digit Addition with SOME Regrouping (Large Print) (16 Questions) ✎ 4-digit Plus 1-digit Addition with SOME Regrouping (Large Print) (16 Questions) ✎ Various Plus 1-digit Addition with SOME Regrouping (Large Print) (16 Questions) ✎ 2-digit Plus 2-digit Addition with SOME Regrouping (Large Print) (16 Questions) ✎ 3-digit Plus 2-digit Addition with SOME Regrouping (Large Print) (16 Questions) ✎ 4-digit Plus 2-digit Addition with SOME Regrouping (Large Print) (16 Questions) ✎ Various Plus 2-digit Addition with SOME Regrouping (Large Print) (16 Questions) ✎ 3-digit Plus 3-digit Addition with SOME Regrouping (Large Print) (16 Questions) ✎ 4-digit Plus 3-digit Addition with SOME Regrouping (Large Print) (16 Questions) ✎ 4-digit Plus 4-digit Addition with SOME Regrouping (Large Print) (16 Questions) ✎ 5-digit Plus 5-digit Addition with SOME Regrouping (Large Print) (12 Questions) ✎ 6-digit Plus 6-digit Addition with SOME Regrouping (Large Print) (12 Questions) ✎
• Very Large Print Multi-Digit Addition with Some Regrouping 2-Digit Plus 1-Digit Addition with SOME Regrouping (Very Large Print) (9 Questions) ✎ 2-Digit Addition with SOME Regrouping (Very Large Print) (9 Questions) ✎ 3-Digit Plus 1-Digit Addition with SOME Regrouping (Very Large Print) (9 Questions) ✎ 3-Digit Plus 2-Digit Addition with SOME Regrouping (Very Large Print) (9 Questions) ✎ 3-Digit Addition with SOME Regrouping (Very Large Print) (9 Questions) ✎ 4-Digit Plus 1-Digit Addition with SOME Regrouping (Very Large Print) (9 Questions) ✎ 4-Digit Plus 2-Digit Addition with SOME Regrouping (Very Large Print) (9 Questions) ✎ 4-Digit Plus 3-Digit Addition with SOME Regrouping (Very Large Print) (9 Questions) ✎ 4-Digit Addition with SOME Regrouping (Very Large Print) (9 Questions) ✎ Various 2- to 4-Digit Addition with SOME Regrouping (Very Large Print) (9 Questions) ✎
• Large Print Multi-Digit Addition with All Regrouping 2-Digit Addition with ALL Regrouping (Large Print) (16 Questions) ✎ 3-Digit Addition with ALL Regrouping (Large Print) (16 Questions) ✎ 4-Digit Addition with ALL Regrouping (Large Print) (16 Questions) ✎ 5-Digit Addition with ALL Regrouping (Large Print) (12 Questions) ✎ 6-Digit Addition with ALL Regrouping (Large Print) (12 Questions) ✎
• Large Print Multi-Digit Addition with No Regrouping 2-Digit Addition with NO Regrouping (Large Print) (16 Questions) ✎ 3-Digit Plus 2-Digit Addition with NO Regrouping (Large Print) (16 Questions) ✎ 3-Digit Addition with NO Regrouping (Large Print) (16 Questions) ✎ 4-Digit Plus 3-Digit Addition with NO Regrouping (Large Print) (16 Questions) ✎ 4-Digit Addition with NO Regrouping (Large Print) (16 Questions) ✎ 5-Digit Addition with NO Regrouping (Large Print) (12 Questions) ✎ 6-Digit Addition with NO Regrouping (Large Print) (12 Questions) ✎ LP 2-Digit Addition with Sums up to 99 ( 25 Questions ) LP 2-Digit Addition with Sums up to 99 ( 12 Questions )

Multi-Digit Addition with Grid Support

Adding with grid support helps students who have trouble lining up place values themselves. Perhaps with a little practice, they might get a better understanding of not only lining up the place values, but why this is done. Pointing out that the 5 in 659 means 50, for example, is useful in helping students understand place value as it relates to addition.

• Adding 2 Addends With Grid Support Adding 2-Digit + 2-Digit Numbers on a Grid (2 Addends) Adding 3-Digit + 3-Digit Numbers on a Grid (2 Addends) Adding 3-Digit + 2-Digit Numbers on a Grid (2 Addends) Adding 4-Digit + 4-Digit Numbers on a Grid (2 Addends) Adding 4-Digit + 3-Digit Numbers on a Grid (2 Addends) Adding 4-Digit + 2-Digit Numbers on a Grid (2 Addends) Adding 5-Digit + 5-Digit Numbers on a Grid (2 Addends) Adding 5-Digit + 4-Digit Numbers on a Grid (2 Addends) Adding 5-Digit + 3-Digit Numbers on a Grid (2 Addends) Adding 5-Digit + 2-Digit Numbers on a Grid (2 Addends) Adding Various Digit Numbers on a Grid (2 Addends)
• Adding 3 Addends With Grid Support Adding 2-Digit Numbers on a Grid (3 Addends) Adding 3-Digit Numbers on a Grid (3 Addends) Adding 4-Digit Numbers on a Grid (3 Addends) Adding 5-Digit Numbers on a Grid (3 Addends) Adding Various-Digit Numbers on a Grid (3 Addends)
• Adding 4 Addends With Grid Support Adding 2-Digit Numbers on a Grid (4 Addends) Adding 3-Digit Numbers on a Grid (4 Addends) Adding 4-Digit Numbers on a Grid (4 Addends) Adding 5-Digit Numbers on a Grid (4 Addends) Adding Various-Digit Numbers on a Grid (4 Addends)
• Adding 5 Addends With Grid Support Adding 2-Digit Numbers on a Grid (5 Addends) Adding 3-Digit Numbers on a Grid (5 Addends) Adding 4-Digit Numbers on a Grid (5 Addends) Adding 5-Digit Numbers on a Grid (5 Addends) Adding Various-Digit Numbers on a Grid (5 Addends)

Various Other Addition Worksheets

Column addition is not just an exercise in accounting, it also develops mental addition skills that are useful in everyday life. Various strategies are available for adding columns of numbers. The traditional method is to use a pencil and paper approach, also known as right-to-left addition, where students add and regroup starting with the smallest place (ones in this case) and proceed up to the greatest place. A mental approach might involve students going from left-to-right where the greater place is added first. This is easier to keep track of in your head, but does require the occasional adjustment in previous answers. An example is to add 345 + 678 + 901. First add the 300, 600 and 900 to get 1800, then add 40, 70 and 0 in turn to get 1910, then deal with the 5, 8 and 1 to get 1924. Along the way you had to adjust your total, but keeping a running total in your head is a lot easier than transfering a pencil and paper method into your head.

• Column Addition with Single-Digit Numbers Adding Three Single-Digit Numbers Adding Four Single-Digit Numbers Adding Five Single-Digit Numbers Adding Six Single-Digit Numbers
• Column Addition with Two-Digit Numbers Adding Three Two-Digit Numbers Adding Four Two-Digit Numbers Adding Five Two-Digit Numbers Adding Six Two-Digit Numbers
• Column Addition with Three-Digit Numbers Adding Three Three-Digit Numbers Adding Four Three-Digit Numbers Adding Five Three-Digit Numbers Adding Six Three-Digit Numbers
• Column Addition with Four-Digit Numbers Adding Three Four-Digit Numbers Adding Four Four-Digit Numbers Adding Five Four-Digit Numbers Adding Six Four-Digit Numbers
• Column Addition with Various-Digit Numbers Adding Three Various-Digit Numbers Adding Four Various-Digit Numbers Adding Five Various-Digit Numbers Adding Six Various-Digit Numbers

Games help students develop mental addition skills but in a fun context. For the adding with playing cards worksheets, a Jack is counted as 11, a Queen as 12, a King as 13 and an Ace as 1. Playing math games while enjoying some social time with their friends is a great way to develop strategic thinking and math fluency in children.

• Adding With Games Adding 2 Playing Cards Adding 3 Playing Cards Adding 4 Playing Cards Adding 5 Playing Cards Adding 6 Playing Cards Adding 7 Playing Cards Adding 8 Playing Cards Counting Cribbage Hands Identify and Count Yahtzee! Combinations

Finding complements of numbers can help students a great deal in developing mental arithmetic skills and to further their understanding of number.

• Adding Complements of 9, 99 and 999 Adding Complements of 9 (Blanks in First or Second Position Mixed) Adding Complements of 9 (Blanks in First then Second Position) Adding Complements of 9 (Blanks in First Position Only) Adding Complements of 9 (Blanks in Second Position Only) Adding Complements of 9 (Blanks in Any Position, Including Sums) Adding Complements of 99 Adding Complements of 999
• Adding Complements of 10, 100 and 1000 Adding Complements of 10 Adding Complements of 100 Adding Complements of 1000
• Adding Complements of 11 Adding Complements of 11 (Blanks in First or Second Position Mixed) Adding Complements of 11 (Blanks in First then Second Position) Adding Complements of 11 (Blanks in First Position Only) Adding Complements of 11 (Blanks in Second Position Only) Adding Complements of 11 (Blanks in Any Position, Including Sums)

Using an adding doubles strategy can help students to process addition questions more quickly using mental math. To use this strategy, students must recognize that the two numbers are close to the same value (usually by one or two). They also must recognize by how much and whether it is greater or less than the first addend. A typical dialogue with the question, 15 + 16, might be, "I see that the second number is greater than the first number by 1. If I double the first number and add 1, I will get my answer. 15 doubled is 30 plus one is 31. 15 + 16, therefore, is 31."

• Adding Doubles Up to 9 Adding Doubles (Up to 9) Adding Doubles Plus One (Up to 9) Adding Doubles Plus Two (Up to 9) Adding Doubles Minus One (Up to 9) Adding Doubles Minus Two (Up to 9) Adding Doubles Mixed Variations (Up to 9)
• Adding Doubles Up to 15 Adding Doubles (Up to 15) Adding Doubles Plus One (Up to 15) Adding Doubles Plus Two (Up to 15) Adding Doubles Minus One (Up to 15) Adding Doubles Minus Two (Up to 15) Adding Doubles Mixed Variations (Up to 15)
• Adding Doubles Up to 30 Adding Doubles (Up to 30) Adding Doubles Plus One (Up to 30) Adding Doubles Plus Two (Up to 30) Adding Doubles Minus One (Up to 30) Adding Doubles Minus Two (Up to 30) Adding Doubles Mixed Variations (Up to 30)

Not commonly taught in modern schools, adding in other base number systems can stretch students' minds and have quite a few important applications, especially in technology. For example, you will find binary, octal and hexadecimal systems are quite often used in computer technology. Quaternary numbers can be used in genetics to store DNA sequences. The duodecimal system is sometimes suggested as a superior system to the decimal system

• Adding in Other Base Number Systems Adding Binary Numbers (Base 2) Adding Ternary Numbers (Base 3) Adding Quaternary Numbers (Base 4) Adding Quinary Numbers (Base 5) Adding Senary Numbers (Base 6) Adding Octal Numbers (Base 8) Adding Duodecimal Numbers (Base 12) Adding Hexadecimal Numbers (Base 16) Adding Vigesimal Numbers (Base 20) Adding Hexatrigesimal Numbers (Base 36) Adding Various Numbers (Various Bases)

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Addition Worksheets & Printables

Quick addition links :.

Home, Sweet Home: Additional Ways to Practice Addition Are Under Your Roof

• For a new twist on the traditional card game “war,” remove all the 10s and face cards, and split the remaining cards into two equal stacks. After you each turn over a card, have your child mentally add the two numbers. If she gets the correct answer within a certain time limit (say, 10 seconds), she gets to keep the cards. If not, you get to the keep the cards.
• Next time the family socks come out of the dryer, place them in piles based on color. Have your child first estimate how many socks are in each pile, then add those numbers. Then let him count the socks in each pile and add those numbers. Finally, ask him if he can subtract the smaller number from larger number and give you the correct answer.
• Lastly, your kitchen is loaded with items that can quickly be turned into addition problems, from fruit, cereal, and chips to pasta, eggs, and slices of bread.

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Addition Worksheets

Addition worksheets are divided into many subtopics that would help both teachers and homeschool moms to choose more specifically. Each subtopic includes a lot of worksheets that would give a perfect practice in addition.

List of Addition Worksheets

Addition Tables and Charts

Addition Facts

Addition with Pictures

Addition using a Number Line

One More or One Less

Single-Digit Addition

Adding Doubles

Ten More or Ten Less

Making 10 Addition Strategy

2-Digit Addition

3-Digit Addition

Adding Large Numbers

Addition Word Problems

Addition and Subtraction Word Problems

Number Bond Addition

Addition Properties

Addition Squares

Addition and Subtraction Fact Family

Mixed Addition and Subtraction

Estimating Sums and Differences

Explore the Addition Worksheets in Detail

Printable addition tables and charts available here. Fill in the missing numbers in tables and charts.

Basic addition worksheets include simple addition facts from 0 to 9. This page suitable for kindergarten, grade 1 and grade 2 kids.

Exclusive addition worksheets with pictures include count and add the graphics, simple addition statement using visuals and more.

Number line worksheets help the kids understand how the numbers will be added.

Vibrant colors and fun themes take center stage in this collection of adding one worksheets, making it the ideal choice for kids in kindergarten and grade 1.

Welcome aboard the freshness of our brand-new one more or one less worksheets, which include various topics like finding one more than with pictures, choosing one less than with pictures, drawing shapes, and many more.

Single-digit addition worksheets include addition drills, addition statement, addition wheel, circle the sum and more.

1+1 is 2, 2+2 is 4. Isn’t that fun adding the same numbers? Explore this wide range of worksheets presenting doubles with attractive pictures and word problems, and enjoy adding them!

Get your little champs to eagerly anticipate math practice with these ten more or ten less worksheets. They offer children a unique learning experience interwoven with plenty of fun.

Develop mental math fluency using these making 10 worksheets and learn to use this addition strategy efficiently with ten-frames, by joining addends or splitting an addend and bridging to 10.

Two-digit addition worksheets include matching numbers, dart board addition, addition pyramid, regrouping addition and more.

Addition practice sheets in this page include column addition, horizontal addition, missing digits, missing addends and more.

Advanced addition worksheets include 4-digit, 5-digit, 6-digit and large numbers with more than 6 figures. Adding the list of numbers included.

Practice these word problems to understand how addition is used in day to day life.

Get cracking at our addition and subtraction word problems to test your skills at real-life application on everything you know! Review your knowledge by adding and subtracting common items, measurements, and others.

Number bond worksheets help the kids learn addition in an interactive way.

Properties worksheets include commutative, associative, identity and inverse of addition.

Addition squares help in learning single-digit and two-digit addition.

The addition and subtraction fact family worksheets feature adequate exercises like sorting the set of numbers, finding the missing members, writing the four facts using houses, dominoes, pictures, number bonds, bar models and more. Utilize the template to create your own fact families.

It includes mixed review worksheets with perfect combination of both addition and subtraction.

Gain ample practice with our vast collection of worksheets on estimation. Numbers are to be rounded to the nearest ten, hundred, thousand or ten thousand. Subsequently, find the sum and difference of the given numbers.

Find the output of the table by performing the addition rule.

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Addition Worksheets

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Addition & Subtraction

Free addition and subtraction worksheets, printables, interactive games and other resources for key stage 1, key stage 2 and elementary teachers and students..

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Printable addition worksheets PDF | free download

Download free printable addition worksheets in PDF. Our addition sums worksheets can be used in the classroom or for home schooling.

These free addition worksheets contain also a link to the online game, so kids can practice math without printing the addition worksheet.

You can also try our online addition games here →

Picture addition

Addition puzzles

Addition to 20

Math addition worksheets PDF free download

Most of these printable addition worksheets are generated automatically, so every time you get a new addition worksheet. So, if there is written ´Generate a new PDF´ under the worksheet, you can download as many different free addition worksheets in PDF as you want.

Addition to 10

Make 10 game

Addition up to 30

Addition dice game

Dice addition game

Addition BINGO

Addition board games

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FUN ONLINE ADDITION GAMES

Addition games and puzzles to solve online.

Click here to download 2 pages for free.

100 Matchstick Puzzles in PDF

Printable math matchstick riddles. Move 1 stick to fix the equation.

LOOK INSIDE

Digital download: 102 pages

Math Worksheets: addition sums

Some of these free addition worksheets are prepared as an PDF files. Some worksheets are generated new each time, so each child in the class can have their own addition worksheet.

Addition pyramid

Number pyramids

Math pyramids

Pyramid pyzzle

Christmas tree

Math worksheets for addition and subtraction

I prepared also printable math worksheets for addition and subtraction as PDF packet, which contains 100 crossword puzzles with an answer key.

These subtraction and addition worksheets are developed with the aim to help children to control their own mistakes.

PDF packet US$3

GET A FREE SAMPLE HERE

With/without regrouping addition worksheets PRINTABLE

Column addition worksheets with and without regrouping with the answers on the 2nd page.

2 digit addition

3 digit addition

Printable math matchstick puzzles with answers. Move 1 stick to fix the equation.

Subtraction and addition worksheets FREE

Here are some mixed subtraction and addition worksheets to download or generate. These free printable addition worksheets in PDF contain the answer key on the 2nd page.

Picture math puzzles

Math picture puzzles

Math crossword puzzles

Add and subtract to 100

Magic squares puzzles

Number bonds to 10

Number bonds to 20

Number bonds to 50

Number bonds to 100

Free addition worksheets for kids

These free math addition worksheets are easy to print. Click on the image and download the free printable addition worksheet in PDF.

Our math addition worksheets in PDF range from simple single-digit addition problems with pictures to more complex multi-digit addition and subtraction problems, including 2-digit and 3-digit addition sums.

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Addition worksheets, subtraction worksheets, multiplication worksheets, division worksheets, fact family worksheets, long division worksheets, negative numbers, exponents worksheets, order of operations worksheets, fraction worksheets, fractions worksheets, graphic fractions, equivalent fractions, reducing fractions, comparing fractions, adding fractions, subtracting fractions, multiplying fractions, dividing fractions, fractions as decimals, fraction decimal percent, word problems, pre-algebra word problems, money word problems, combining like terms, properties of multiplication, exponent rules, linear equations, one step equations, two step equations, factoring polynomials, quadratic equations, other worksheets, place value, percentages, rounding numbers, ordering numbers, standard, expanded, word form, mean median mode range, ratio worksheets, probability worksheets, roman numerals, factorization, gcd, lcm, prime and composite numbers, pre-algebra, geometry worksheets, blank clocks, telling analog time, analog elapsed time, greater than and less than, arithmetic sequences, geometric sequences, venn diagram, graph worksheets, measurement & conversions, inches measurement, metric measurement, metric si unit conversions, customary unit conversions, customary and metric, patterns and puzzles, number patterns, patterns with negatives, missing operations, magic square, number grid puzzles, word search puzzles, color by number, addition color by number, subtraction color by number, multiplication color by number, division color by number, color by number, holiday & seasonal, valentine's day, st. patrick's day, thanksgiving, early learning, base ten blocks, printable flash cards, number matching, number tracing, missing numbers, picture math addition, picture math subtraction, picture math multiplication, picture math division, multiplication chart, multiplication table, prime numbers chart, hundreds chart, place value chart, roman numerals chart, handwriting paper, graph paper, coordinate plane, spaceship math check-off, square root chart, fraction chart, probability chart, measurement chart, number line, comic strip template, calculators, age calculator, factoring calculator, fraction calculator, slope calculator, degrees to radians, percentage calculator, prime factorization calculator, roman numeral converter, long division calculator, multiplication calculator, math worksheets by grade, preschool math worksheets, kindergarten math worksheets, 1st grade math worksheets, 2nd grade math worksheets, 3rd grade math worksheets, 4th grade math worksheets, 5th grade math worksheets, 6th grade math worksheets, worksheet news, math worksheets.

This is the main page for the addition worksheets. Follow the links for Spaceship Math Addition worksheets, multiple digit addition worksheets, no-carrying addition worksheets and other addition topics. These addition worksheets are free for personal or classroom use.

This is the main page for the subtraction worksheets. Follow the links for Spaceship Math Subtraction worksheets, timed subtraction tests, multiple digit subtraction worksheets, simple borrowing and regrouping worksheets, and math worksheets with mixed addition and subtraction problems

This is the main page for the multiplication worksheets. Put your fingers away, because this is the first math operation where memorization of the facts is a requirement. You'll find multiplication worksheets for Dad's Eight Simple Rules for Mastering the Times Table, RocketMath Multiplication, multiple digit multiplication, squares and other multiplication worksheet topics. All of these multiplication worksheets include answer keys and are instantly printable and ready for classroom or home school use.

This is the main page for the division worksheets. This includes Spaceship Math Division worksheets, multiple digit division worksheets, square root worksheets, cube roots, mixed multiplication and division worksheets. These division worksheets are free for personal or classroom use.

Trying to memorize the multiplication facts? This page contains printable multiplication charts that are perfect as a reference. There are different variations of each multiplication chart with facts from 1-9 (products 1-81), 1-10 (products 1-100), 1-12 (products 1-144) and 1-15 (products 1-255). Each of these multiplication charts is a high resolution SVG, so the multiplication facts print beautifully!

Are you looking for a printable multiplication table that has more than just the facts? One with some extra math facts about the multipliers? Or a unique design? In color? The multiplication tables on this page are all high resolution SVG files that print beautifully on your printer and are great resources for learning the times tables in the grade school classroom or at home!

Fact family worksheets focus on sets of related math facts, not specific operations. Teach your kids addition and subtraction at the same time, and reinforce the relationships in a fact family! Two fact families are introduced at each level and allow for progressive practice, or just use the worksheets at the end for comprehensive fact family review.

Introductory long division worksheets, long division worksheets with and without remainders, long division with decimals. All of these long division worksheets includes detailed, expanded answers.

A great introduction to fractions using pie graphics. Students are asked to identify numeric forms of fractions from the graphics, or to create their own representations.

16 Equivalent Fractions Worksheets

These equivalent fractions worksheets teach 4th and 5th grade students how to find equivalent fractions, including both reducing fractions to lower forms as well as changing fractions to less reduced forms. By building familiarity with common equivalent fractions, students learn how to find and recognize the fractions they need when performing other types of fraction arithmetic where different denominators are required.

Practice worksheets for reducing fractions. Different fraction worksheets in this section deal with reducing simple fractions, improper fractions and mixed fractions.

Comparing Fractions Worksheets

Practice worksheets for comparing fractions. The fraction problems on these sheets require kids to compare like and unlike denominators, improper fractions and mixed fractions.

Worksheets for adding fractions with common denominators, with unlike denominators, as simple fractions and as mixed fractions. Complete work with steps is shown for each problem on the answer keys.

Worksheets for subtracting fractions with common denominators, with unlike denominators, as simple fractions and as mixed fractions. Full answer keys that show work!

These math worksheets provide practice for multiplying fractions. Includes problems with and without wholes, and with and without cross-cancelling. Every PDF fraction worksheet here has a detailed answer key that shows the work required to solve the problem, not just the final product!

Dividing fractions worksheets with two fraction division. Includes simple fractions, mixed fractions and improper fractions, as well as problems that make use of a cross multiply step to solve.

Worksheets for transforming fractions into decimals, including by the use of long division.

16 Fraction Decimal Percent Worksheets

These fraction decimal percent worksheets teach 4th and 5th grade students how to convert between different forms for the same fraction quantity, including both reducing fractions to lower forms as well as changing fractions to less reduced forms. These are great worksheets for applying fractions to other common types of math problems, or seeing how a fraction relates to a specific decimal or percentage.

Math Word Problems

This page has word problems spanning a range of difficulties for all the basic operations, including problems with larger values as well as unused information. Word problems are a great way to put those math facts into practice and develop a real understanding of what the operations mean in the real world!

Pre-algebra addition, subtraction, multiplication and division word problems dealing with relationships between numbers in simple equations... A great first step for easing into algebra!

Real-world addition, subtraction, multiplication and division word problems dealing with money. A great first introduction to applied math for students familiar with decimal arithmetic!

Worksheets that teach basic investing math concepts, including market capitalization, price-to-earnings ratios, dividends.

These negative number worksheets combine negative numbers with other integers (both positive and negative) using the basic math operations, multiplying multi-digit negative numbers, and long division with negative numbers.

Worksheets to practice using and calculating percentages of other numbers, including converting between fractions and percentages.

These section presents rounding worksheets for rounding whole numbers and rounding decimal numbers starting with relatively simple problems that introduce the rounding algorithm and then advance to more complex problems where students must determine the correct place value digit to check as well as the correct digit to round up or round down..

Practice ordering numbers worksheets for with multiple numbers in ascending (greatest to least) and descending (least to greatest) orders. Includes whole numbers, decimal numbers and negative numbers. Similar sets of ordering numbers worksheets are presented in both horizontal and vertical formats.

Standard, Expanded and Word Form

Practice worksheets for converting numbers between standard form (digits), expanded form (place value) and word form (spelled out or spoken representation).

These number patterns worksheets help students develop the needed skills for determining patterns and relationships between numbers.

Number patterns that cross zero and may start or end with negative values.

Mean, Median, Range

Worksheets for determining the mean, median, mode and range for sets of numbers. Problems include sets of all positive integers, all negative integers and mixed sign sets, plus calculator practice.

This page contains free printable flash cards for each math operation. Print the 'worksheet' on the front, then turn the page over and print the 'answer key' version on the back. Some sets have duplicate facts for the more difficult problems near the end so that the sets end up on a multiple of pages. Those cards are clearly marked as duplicates... use them for extra practice on the harder problems, or put them aside if you want a set with only one flash card for each math fact.

Worksheets where the answers are provided, but the operation is missing. This is a great way to learn fact families 'in reverse' or to provide reinforcement if memorization with other drills seems to have stalled.

Every hundreds chart you could imagine! If you're teaching basic counting, number sense, rounding or the basics of arithmetic, you can use a number chart like one of these to speed up building math skills.

This page has printable place value charts. In the decimal numbering system, the position (or 'place') of an individual digit in a number determines its value relative to other digits. When a number is written in standard form with groups of three place values separated by commas, each of those groups is called a period. Building number sense by understanding place values is an important early math skill, and these place value charts provide a way to break numbers down to better understand the significance of each digit. There are place value chart variations for whole numbers only, decimal numbers, and very large numbers. There are different place value chart layouts that reinforce just the place value as well as the period value.

Roman numeral worksheets including converting Roman numerals, ordering Roman numerals and completing Roman numeral patterns. Roman numerals are a perfect topic for 3rd, 4th and 5th grade students, and these worksheets provide practice both with reading and writing Roman numerals as well as basic number sense skills.

Whether you are trying to learn how to read and write Roman numerals, trying to find a fancy way to write your birth year, or if you just need a 'cheat sheet' for quick reference, each Roman numerals chart on this page will have you working with this ancient number system in no time flat. All charts print on one page with versions for 1-10, 1-100 and 1-1000 with and without rules for Roman Numerals. Trying to figure out what that weird Roman numeral after the Super Bowl is supposed to mean? Check out the new Super Bowl Roman Numerals chart!

Sudoku puzzles for kids and adults, including easy and hard difficulties, evil sudoku, Samurai Sudoku and more!

Magic square puzzles are a great introduction to logic and problem solving... Try these 3x3, 4x4 and 5x5 to level up your math skills!

This section includes grid style math logic puzzle worksheets involving addition, subtraction, multiplication and division for different grade and skill levels. There are versions of these logic puzzles with missing numbers, as well as with missing operations.

The printable prime factorization worksheets on this page require students to factor progressively larger integers into their prime factors. This is the first step for determining the greatest common divisors of two numbers, or determining the least common multiple of two numbers, but additionally prime factorization introduces the concepts of prime numbers and composite numbers.

Pre-algebra skills including solving for the missing values.

Introduces squares, cubes and exponents mixed with other basic operations. Includes practice that will build site-memory of common exponential terms

These order of operations worksheets mix basic arithmetic, including parentheses and exponents. If you are looking for order of operations worksheets that test knowledge of the PEMDAS rules, these math worksheets are a good start. You can also find order of operations worksheets with negative numbers and order of operations worksheets with comparisons at these other worksheet pages.

Basic Geometry

Simple labeling of lines, angles and triangles. Identifying shapes

Practice worksheets for telling analog clock time, including both reading time and drawing clock faces.

Worksheets comparing two analog clocks and determining how much time has elapsed between the two.

Preschool and Kindergarten

These really basic math worksheets are perfect for little ones just embarking on their mathematical journey! These worksheets contain addition and subtraction problems that can all be solved with five finger or ten finger founting.

Practice worksheets for number comparisons. These worksheets feature greater than and less than operations, comparisons and equality tests for multi digit numbers, times and more!

Printable hand writing paper templates in a variety of line heights, including 3-line practice paper in both normal and wide layouts, blank story paper, and regular lined paper for older grade students. Check out the numbered blank spelling test templates!

Free printable graph paper, grid paper and dot paper for math problems, crafts, zentangling, landscape design, architecture or just simple doodling. All graph paper styles include inch and centimeter variations. All of these PDF files are designed to print on 8.5 x 11 inch paper.

The blank coordinate planes on this page include variations with labels on either the axis or the edge of the grid, as well as versions with quadrant labels. You can find full 4 quadrant coordinate planes, as well as just blank 1 quadrant coordinate planes in layouts setup for solving multiple homework problems on a single page.

These measurement worksheets for inches (customary units) will build skills for performing ruler measurements of either a single point or the length measurement of an object. There are different measuring worksheets with problems appropriate for kindergarten, first grade, second grade or third grade math students.

Metric measurement worksheets for identifying measured positions and measuring objects in centimeters and millimeters on a ruler. These worksheets are great practice for first grade, second grade, third grade and fourth grade students and can also provide practical subtraction practice when measuring the length of objects on a ruler.

These worksheets use unity fractions to convert unit values from one measurement to another. This approach is more common in chemistry, physics or other science classes and requires students to focus on cancelling units to reach a solution with both the right value and the right units.

Customary unit conversion practice for distance (inches to feet), volume (ounces to gallons) and mass (ounces to pounds). These worksheets also employ unity fractions to convert unit values from one measurement to another. This approach is more common in chemistry, physics or other science classes and requires students to focus on cancelling units to reach a solution with both the right value and the right units.

These worksheets use unity fractions to convert values between SI (Metric) units and customary units. Topics in this section include conversion practice for inches to meters, liters to gallons and grams to pounds.

These printable worksheets use pictures and grouping to build a conceptual understanding of addition. These worksheets start out with simple addition picture problems where only basic counting skills are required to come up with addition number sentences, but later worksheets require students to produce a similar grid illustration to demonstrate their understanding of addition concepts. These are a perfect first instruction to addition for students in preschool, kindergarten or first grade.

These printable worksheets use pictures and grouping to build a conceptual understanding of subtraction. These worksheets start out with simple subtraction picture problems where only basic counting skills are required to come up with subtraction number sentences, but later worksheets require students to produce a similar grid illustration to demonstrate their understanding of subtraction concepts. These are a perfect first introduction to subtraction for students in kindergarten or first grade.

These printable worksheets use pictures and grouping to build a conceptual understanding of multiplication. These worksheets start out with simple multiplication picture problems where only basic counting skills are required to come up with subtraction number sentences, but later worksheets require students to produce a similar grid illustration to demonstrate their understanding of multiplication concepts. These are a perfect first introduction to multiplication for students in second grade, third grade or fourth grade.

These printable worksheets use pictures and grouping to build a conceptual understanding of division and they are the perfect first introduction to this often confusing operation. These worksheets start out with simple division picture problems where only basic counting skills are required to come up with subtraction number sentences, but later worksheets require students to produce a similar grid illustration to demonstrate their understanding of division concepts, including remainders. These are a perfect first introduction to division for students in third grade or fourth grade.

These printable money worksheets feature realistic coins and bills in problems for identifying coins, making change, counting coins, comparing amounts of money. They build foundational recognition and counting skills in Kindergarten and first grade to prepare for full money practice necessary to pass second grade.

Spaceship check-off pages (complete with the Spaceship ship!) for tracking progress on the Spaceship Math or Rocket Math worksheets for each of the four basic operations.

These addition coloring worksheets require students to solve simple math facts to find the right color to shade in to reveal a picture of their own creation. You'll find a growing set of holiday and seasonal themed pages that I'll be adding to over time... Please check back often for updates, or if you have a suggestion send me a note at the contact link below!

These subtraction coloring worksheets require students to solve simple math facts to find the right color to shade in to reveal a picture of their own creation. You'll find a growing set of holiday and seasonal themed pages that I'll be adding to over time... Please check back often for updates, or if you have a suggestion send me a note at the contact link below!

Looking for worksheets to make learning math on Valentine's Day a bit more fun? This page has a collection of color by number multiplication worksheets appropriate for third grade, fourth grade or fifth grade students.

Looking for worksheets to make learning math on Valentine's Day a bit more fun? This page has a collection of color by number division worksheets appropriate for third grade, fourth grade or fifth grade students.

These coloring worksheets feature simple color by number instructions for young students who are either just learning their numbers or as a reward activity for older kids. You'll find a growing set of holiday and seasonal themes that I'll be adding to over time... Please check back often for updates, or if you have a suggestion send me a note at the contact link below!

Valentine's Day

Looking for worksheets to make learning math on Valentine's Day a bit more fun? This page has a collection of color by number worksheets appropriate for kindergarten through fourth grade, covering addition, subtraction, multiplication and division operations. There are also a collection of simple math exercises with fun Valentine's Day themes.

Looking for worksheets to make learning math on Earth Day a bit more fun? This page has a collection of color by number worksheets appropriate for kindergarten through fourth grade, covering addition, subtraction, multiplication and division operations. There are also a collection of simple math exercises with fun Earth Day themes.

St. Patrick's Day

You can't rely solely on the luck of the Irish when it comes to math, but these St. Patrick's Day do make it a bit more fun! This page has a collection of color by number worksheets appropriate for kindergarten through fourth grade, covering addition, subtraction, multiplication and division operations. There are also a collection of simple math exercises with fun St. Patrick's Day shamrock themes.

What better time of year to start growing some new math skills than Spring! This page has a collection of color by number worksheets appropriate for kindergarten through fourth grade, covering addition, subtraction, multiplication and division operations. There is also a collection of simple spring math worksheets with fun spring flower themes, along with a multiplication chart, hundreds chart, graph paper and coordinate plane!

This collection of Thanksgiving-themed math worksheets is both educational and fun. It includes a variety of exercises ranging from simple number recognition to basic operations, along with engaging color-by-number style worksheets. Ideal for students to improve their math skills while celebrating the spirit of Thanksgiving!

This collection of Christmas-themed math worksheets are designed to reinforce specific math skills and concepts, from simple number recognition to basic operations, along with engaging color-by-number style worksheets, puzzles, and more! Christmas Color By Number Santa Claus

Whether you're looking for a list of perfect square roots, or a complete table of square roots from 1 to 100, a square root chart from this page will have your radicals covered! There are both color and black and white versions of the charts in printable PDF form.

This unique rendering of equivalent fractions combines the value of the fractions positionally on the number line to create an elegant symmetry. It not only highlights fractions in their lowest, most reduced form but provides a convenient decimal equivalent for the most commonly used fractions. This really is one of the nicest reference charts I've created in the 10 years I've been building math resources!

Use these math word search puzzles to introduce vocabulary and terms to grade school students as they are introduced to new math concepts! These word search puzzles include sets for various Common Core aligned grade levels, along with specific topics for geometry, algebra and more!

Probability anchor chart for word problem reference! This illustrated chart describes scenarios with coins, dice and playing cards. It includes odds for most likely and least likely outcomes.

This measurement chart is a good reference aid for word problems involving converting volume, length or temperature units from one system to the other. Values are shown on one scale in both customary and metric systems. Great for kitchen measurement and cooking too!

This collection of algebra worksheets focuses on combining like terms. Expertly crafted, they provide ample practice to hone algebraic skills. Each PDF worksheet includes an answer key, facilitating easy self-assessment and effective learning. Perfect for students aiming to master the fundamental concept of combining like terms in algebra. Combining Like Terms 6 Terms Addition Subtraction Multiplication V1

The one step equations worksheets on this page include problems with integers and fractions for a variety of math operations. These basic algebra worksheets are appropriate practice for 6th grade, 7th grade and 8th grade students. Full answer keys are included on the second page of each PDF file. One Step Equations Integers Addition And Subtraction V1

The two step equations worksheets on this page include problems with integers, decimals and fractions for a variety of math operations. These beginning algebra worksheets are appropriate practice for 6th grade, 7th grade and 8th grade students. Full answer keys are included on the second page of each PDF file. Two Step Equations Fractions Multiplication And Division V3

Linear equations worksheets including calculating slope from two points, calculating y-intercepts, graphing equations in slope intercept form, graphing equations in point slope form, graphing systems of equations, graphing linear equations, graphing linear inequalities and more!

A number line can be a powerful tool for learning about negative numbers, ratios or just introductory addition and subtraction operations. The number line PDFs on this page include various ranges (10, 12, 15, 20, 15 and 100) in both starting from zero as well as negative ranges. A complete set of fraction number lines marked with common denominators is included in -5 to 5 ranges. There are also application specific number lines for elapsed time, temperature and money, as well as blank number lines for regular ranges and fractions.

Missing Numbers Worksheets

These missing numbers worksheets are appropriate for preschool and kindergarten age students for counting practice. Each worksheet shows a sequence of numbers in ascending or descending order and the student fills in missing values to complete the series.

Arithmetic Sequences Worksheets

Arithmetic sequences worksheets including practice finding the common difference for a sequence of numbers, or finding arbitrary nth terms in an arithmetic sequence given its formula definition.

Geometric Sequences Worksheets

Geometric sequences worksheets including practice finding the nth term and common ratio for a sequence of numbers, or finding arbitrary nth terms in an progressions given its formula definition.

Ratio Worksheets and Word Problems

Probability worksheets including simple coin tosses, spinners and dice throws. These worksheets also include vocabulary for solving probability problems as percentages, decimals or fraction values representing that measurement of possible outcomes for simple problems.

Ratio worksheets including relating visual quantities, ratio word problems, rate and ratio problems and finding equivalent ratios. These PDF worksheets are designed for 3rd through 6th grade students and include full answer keys.

Venn Diagram Templates and Worksheets

Check out this page for Venn diagram worksheets, blank Venn diagram templates and practice for Venn diagram concepts. Venn diagrams are useful for learning set concepts such as intersection, exclusion and complements. Venn Diagram Template Colored 3 Sets With Lines

Creating and Interpretting Graphs

Graph worksheets for practice visually representing data and understanding relationships between variables. These worksheets include reading graphs, creating graphs, and interpreting different types of graphs. Tally Bar Graph V3

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3 Digit Addition and Subtraction

Welcome to our 3 Digit Addition and Subtraction page.

Here you will find our selection of Second Grade Addition and Subtraction Worksheets, which will help your child learn to add and subtract numbers with up to 3 digits.

All the worksheets on this page involve using both addition and subtraction problems.

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3 digit addition and subtraction worksheets.

• 3-Digit Addition Only
• 3 Digit Subtraction Only
• Easier/Harder Worksheets
• More related resources

This page contains a range of different worksheets to help you to practice your 3-digit addition and subtraction skills together.

We also have some dedicated webpages to help you to understand and master 3-digit addition and 3-digit subtraction separately.

There a range of worksheets suitable for different levels of ability, including both with and without regrouping.

The aim of these worksheets is to enable you to practice both column addition and subtraction problems on the same sheet.

Using our resources will help your child to:

• practice 3-digit addition and 3-digit subtraction;
• set out a 3-digit addition and subtraction problem correctly.

3 Digit Addition & Subtraction Worksheets

Quicklinks to ...

• 3 Digit Addition & Subtraction Worksheets no Regrouping
• 3 Digit Addition & Subtraction Worksheets with Regrouping
• 3 Digit Addition & Subtraction Challenges (harder)

We have split the sheets into 3 sections.

• The first section is the easiest and involves 3-digit addition and subtraction with no regrouping
• The second section involves 3-digit addition and subtraction with regrouping.
• The final section is for more confident students and involves 3-digit addition and subtraction challenges.

3 Digit Addition and Subtraction With No Regrouping

The sheets in this section are all of a similar level of difficulty.

They involve solving 3-digit addition and subtraction problems with no regrouping needed.

• 3 Digit Addition & Subtraction with no regrouping Sheet 1
• PDF version
• 3 Digit Addition & Subtraction with no regrouping Sheet 2

3 Digit Addition and Subtraction With Regrouping

Apart from the first sheet, the sheets are all at a similar level of difficulty.

The first sheet is slightly easier and involves regrouping a maximum of once only.

Sheet 5 & 6 involve writing out the addition and subtraction problems in columns and then solving them.

• 3 Digit Addition and Subtraction Sheet 1
• 3 Digit Addition and Subtraction Sheet 2
• 3 Digit Addition and Subtraction Sheet 3
• 3 Digit Addition and Subtraction Sheet 4
• 3 Digit Addition and Subtraction Sheet 5
• 3 Digit Addition and Subtraction Sheet 6

3-Digit Addition and Subtraction Challenges

The frist two sheets involve filling in the missing digits in the 3-digit additions and subtraction, where the digits may belong to any of the three numbers in the problem.

The third sheet involves using 3-digit addition and subtraction to find the smallest and largest totals that can be made, and is more of an exploratory activity.

• 3 Digit Addition & Subtraction Challenges 1
• 3 Digit Addition & Subtraction Challenges 2
• 3 Digit Addition & Subtraction Challenges 3

Looking for some easier worksheets

As well as 3-digit addition and subtraction worksheets, we also have 2-digit addition and subtraction worksheets.

The sheets are similar to those on this page, but with smaller numbers.

• 2 Digit Addition Worksheets With Regrouping
• 2 Digit Subtraction Worksheets With Regrouping
• 2 Digit Addition & Subtraction Worksheets

Looking for some harder worksheets

We also have a selection of 4-digit addition and subtraction worksheets and worksheets involving adding much larger numbers.

• Addition 4-Digit Worksheets
• 4 Digit Subtraction Worksheets
• 4 Digit Addition and Subtraction

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

3 Digit Addition Worksheets

This page is dedicated to understanding and learning the 3-digit addition method with step-by-step instructions and lots of worked examples.

There are also lots of different worksheets to help you practice this skill.

• 3-Digit Column Addition Worksheets
• 3 Digit Subtraction Worksheets

This page is dedicated to understanding and learning the 3-digit subtraction method with step-by-step instructions and lots of worked examples.

Column Addition and Subtraction Worksheet Generator

If you need some more 3 digit addition and subtraction worksheets, then take a look at our addition and subtraction worksheet generator.

You can select the size of numbers and number of questions you want, then create your worksheet in a matter of seconds.

• Column Addition and Subtraction Worksheets

More Second Grade Addition & Subtraction Worksheets

Here are links to some more of our 2nd grade addition and subtraction worksheets to help you apply your skills.

• Addition Word Problems 2nd grade
• Subtraction Word Problems 2nd grade
• 2nd Grade Addition and Subtraction Word Problems (up to 100)

Math Addition & Subtraction Games

Here you will find a range of Free Printable Addition Games to help kids learn their addition facts.

Using these games will help your child to learn their addition facts, and also to develop their memory and strategic thinking skills.

• Math Addition Games
• Math Subtraction Games

Second Grade Math Word Problems

Here are a range of problems solving sheets for 2nd graders. Most of the sheets contain 'real-life' problems related to animal facts.

Using the sheets will help your child to:

• apply their addition, subtraction, and multiplication skills;
• apply their knowledge of rounding and place value;
• solve a range of 'real life' problems.

All the 2nd grade sheets in this section support Elementary math benchmarks.

These sheets involve solving one or two more challenging longer problems. This link opens in a new tab.

• Second Grade Math Problems

These sheets involve solving many 'real-life' problems involving data.

• 2nd Grade Math Word Problems

These sheets involve solving a range of multiplciation problems.

• Multiplication Word Problems 2nd Grade

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The Order of Operations in Math — A Complete & Kid-Friendly Guide

Whether you're getting ready for an exam or simply want to refresh your knowledge of the order of operations in math, we've created a comprehensive and easy-to-follow guide for you.

Read on to find simple definitions of the order of operations and related terms, practical examples, and a fun quiz to test your knowledge.

What Is the Order of Operations?

Have you ever tried to solve a math problem, where you didn't know where to start or what to do next?

For example, when you see 3 + 8 × 2 - 6, what should you do first?

• Add 3 and 8
• Multiply 8 and 2
• Subtract 6 from 2

The order of operations is a set of rules that tells us what math operation to do first in an expression with multiple operations like addition, subtraction, multiplication, and division.

Following the order of operations, when solving 3 + 8 × 2 - 6, we would first do the:

• Multiplication: 8 x 2 = 16, so we get 3 + 16 – 6.
• Addition: 3 + 16 = 19, so we get 19 – 6.
• Subtraction: 19 – 6 = 13.

3 + 8 × 2 – 6 = 13

One way to remember the order of operations is by the acronym PEMDAS.

Watch our video to learn more.

What Does “PEMDAS” Mean?

PEMDAS is an acronym that reminds us of the sequence of steps to follow when solving mathematical expressions with multiple operations.

• P  stands for Parentheses (sometimes called Brackets).
• E  stands for Exponents (sometimes called Indices).
• M stands for Multiplication.
• D  stands for Division.
• A stands for Addition.
• S  stands for Subtraction.

Much like grammatical rules that govern how we build sentences, PEMDAS is a set of rules mathematicians came up with and agree to follow so that we can have consistency and clarity when performing calculations.

Different countries have their own ways of remembering the order of math operations.

• In Canada, it's called BEDMAS : Brackets, Exponents, Division, Multiplication, Addition, and Subtraction.
• Some prefer BODMAS : Brackets, Order, Division, Multiplication, Addition, and Subtraction.
• Then there's GEMDAS : Grouping, Exponents, Multiplication, Division, Addition, and Subtraction. 

When solving math expressions with multiple operations, we follow these steps from left to right .

There is a fun way of remembering the PEMDAS rule with the left to right rule using a playful mnemonic:

Now, let’s work through each step of PEMDAS.

1. Parentheses

The first step to the order of operations is parentheses. This means that when we’re solving an expression with multiple operations, we first solve the operations within parentheses (). Here’s a simple example to illustrate.

3 x (4 + 2)

• First, we solve the expression within the parentheses: 4 + 2 =6, so we get 3 x 6.
• Then, we multiply 3 by the result of the expression inside the parentheses (which, as we've seen, is 6): 3 x 6.
• Finally, we get the answer 18.  

Sometimes, math expressions contain a set of parentheses inside another set. To solve them, start by solving the operations inside the innermost parentheses , then work your way outward.

For example: {4 x [5 +(6 – 3)]} – (8 – 2)

• First, we subtract numbers inside the innermost parentheses: 6 – 2 = 3, so we get {4 x [5 + 3]} – (8 – 2).
• Then, add 5 to the answer inside the square brackets: 5 + 3 = 8, so we get {4 x 8} – (8 – 2). 
• Next, multiply the result by 4 inside the curly brackets: 4 x 8 = 32, so we get 32 — (8 – 2). 
• Now, solve the expression inside the parantheses: 8 – 2 = 6, so we get 32 – 6. 
• Finally, subtract the result of step 4 from the result of step 3: 32 – 6 = 26

2. Exponents

The second step in the order of operations is exponents. Exponents, also known as indices, show how many times a number is multiplied by itself.

To illustrate, 3⁴ is an exponent form that means multiply 3 by itself 4 times, or 3 x 3 x 3 x 3.

Let’s look at this example:

2 2 + 4 x 2

• First, we look at the exponent 2 3 which means we multiply 2 by itself 3 times, or 2 × 2 × 2 = 8 , so we get: 8 + 4 × 2. 
• Then we multiply: 4 × 2 = 8 , so we get 8 + 8. 
• Finally, we add: 8 + 8 = 16.

Refresh Your Memory:  What Does Squared Mean in Math?

 3. Multiplication & Division

In the order of operations, multiplication and division are prioritized equally and are performed from left to right as they appear in the expression. This is why we consider them together as the third step in PEMDAS.

Let’s see that in practice with: 8 ÷ 2 × 4 + 3

• First, we perform the division because it appears first, before the multiplication: 8 ÷ 2 = 4, so we get 4 x 4 + 3.
• Then, we perform the multiplication: 4 x 4 = 16, so we get 16 + 3.
• Next, we perform the addition: 16 + 3 = 19.
• Finally, we get the result 19.

4. Addition & Subtraction 

As the last steps of PEDMAS, we work on the addition and subtraction.

Just like multiplication and division, addition and subtraction are prioritized equally and are performed from left to right as they appear in the expression.

For example:

10 – 4 + 3 

• First, we subtract: 10 – 4 = 6, so we get 6 + 3
• Then, we add: 6 + 3 = 9
• Thus, the result is 9.

Now that we have covered each step of PEMDAS, let’s look at a more challenging example:

Find more tips in our Order of Operations Series Part 2 .

Common Mistakes with the Order of Operations in Math 

PEMDAS makes solving math expressions much easier than simply memorizing the order of operations, but students sometimes forget the steps to take.

Here are some common mistakes to keep an eye on when solving math expressions with multiple operations:

1. Going Only Left to Right

Some students forget PEMDAS and just focus on the left-to-right approach, which might feel natural because of how we read.

It's important to remember that while going left to right can work, it's only suitable when you're solving expressions that only contain addition and subtraction, or multiplication and division.

For example, using the left to right approach works if you are trying to solve:

8 – 6 + 9 – 3

Or, if you are trying to solve:

8 ÷ 2 × 9 ÷ 3

But let's say you are trying to solve:

10 – 3 x 2 + 5 ÷ 5

As you can see, this expression contains subtraction, multiplication, addition, and division.

If we go from left to right – first subtracting 3 from 10 to get 7, then multiplying 7 by 2 to get 14, then adding 5 to it to get 19, and finally diving 19 by 5, we get 3.8 which is an incorrect result.

But if we follow PEMDAS, which tells us to start with multiplication and division (left to right) before we get to addition and subtraction, we get:

= 10 – 6 + 1 

  The correct answer is 5 .

2. Doing Addition Before Subtraction

Many students tend to do addition before subtraction in math problems because they learned addition before subtraction or because they're close together in the order of operations. Some also think that because A comes before S in PEMDAS you should always do addition before subtraction.

For instance, in the expression  8 – 2 + 3  you might tackle the addition before the subtraction and get: 8 –  5 = 3.

In the order of operations, addition and subtraction have the same priority which is why we have to use left-to-right approach and perform subtraction first:

= 6 + 3 

3. Doing Multiplication Before Division

Similarly to addition vs. subtractions, students often think multiplication comes before division because that's what they've learned before or because they're used to seeing multiplication listed first in math problems. Another mistake is believing M comes before D in PEMDAS because you always do multiplication before division. 

For example, in the expression 6 ÷ 2 × 3 = 6 ÷ 6 = 1 , a student might do the multiplication first and get a wrong result:

6 ÷ 2 × 3 = 6 ÷ 6 = 1 

But we know by now that multiplication and division are equally important. So, we need to work from left to right and do the division first:

6 ÷ 2 × 3 = 3 × 3 = 9

Solved Examples for the Order of Operations

Using PEMDAS, let’s solve this one: 

3 x (8 – 4) 2 + 6 ÷ 2

• First, we do the subtraction inside the parentheses: 8 – 4 = 4, so we get 3 x 4 2  + 6 ÷ 2.
• Next, we square the result: 4 2  = 16, so we get 3 x 16 + 6 ÷ 2.
• Then, we multiply: 3 x 16 = 48, so we get 48 + 6 ÷ 2.
• Next, we divide: 6 ÷ 2 = 3, so we get 48 + 3.
• Finally, we add: 48 + 3 = 51.

Example 2 

Let’s do the same for this expression:

3 x (7 – 2) + 6 ÷ 2

• First, we do the subtraction inside the parentheses: 7 – 2 = 5, so we get 3 x 5 +  6 ÷ 2.
• Next, we multiply: 3 x 5 = 15, so we get 15 +  6 ÷ 2.
• Then, we divide: so we get 6 ÷ 2 = 3, so we get 15 + 3.
• Finally, we add:15 + 3 = 18.

Finally, we can work on this one:

80  ÷ (6 + 7 x 2) – 5

• First, we perform the multiplication inside the parentheses: 7 x 2 = 14, so we get 80 ÷ (6 + 14) – 5.
• Next, we perform the addition inside the parentheses: 6 + 14 = 20, so we get 80 ÷ 20 – 5.
• Then, we divide: 80 ÷ 20 = 4, so we get 4 – 5.
• Finally, we subtract and get: 4 – 5 = –1.

Flash Quiz: How Well Do You Know the Order of Operations?

Frequently asked questions about the order of operations.

Discover clear and easy-to-understand explanations about the rules and steps for solving math problems using the order of operations.

1. Can PEMDAS be applied to all math operations?

Yes, PEMDAS applies to all mathematical operations involving multiple steps, including addition, subtraction, multiplication, division, and exponentiation

2. What are BODMAS and BEDMAS?

BODMAS  and BEDMAS , just like PEDMAS  are mnemonic devices used to remember the order of operations in mathematics:

• B: Brackets
• D: Division
• M: Multiplication
• A: Addition
• S: Subtraction
• E: Exponents

3. What should I do when math expressions have parentheses within parentheses?

When there are parentheses within one another (nested parentheses), you should start by doing the innermost expressions first and then work your way outwards.

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Strike it Out

Strike it Out poster

Watch the video below which shows two people playing the first few turns of a game.

What do you notice? What do you want to ask?

If you can't access YouTube, here is a direct link to the video .

Watch the video a second time. Can you work out how to play the game?   What do you think the rules might be?  How might someone win the game?

If you are unable to view the video, you could click through this powerpoint presentation , which also demonstrates how to play. Alternatively, the rules of the game are hidden below.

• Start by drawing a number line from 0 to 20 like this, or print off a sheet of number lines : 

• The first player chooses two numbers on the line and crosses them out. Then they circle the sum or difference of the two numbers and they write down the calculation.

• The second player must start by crossing off the number that Player 1 has just circled. They then choose another number to cross out and then circle a third number which is the sum or difference of the two crossed-off numbers. Player 2 also writes down their calculation.

• Play continues in this way with each player starting with the number that has just been circled.
• Once a number has been used in a calculation, it cannot be used again.
• The game ends when one player cannot make a calculation. The other player is the winner.

It's your turn! Try playing the game against someone else a few times to get a feel for it. Do you have any good ways of winning?

Now it's time to work together with a partner, rather than against them. Try to create a string of calculations that uses as many numbers as possible on the 0-20 number line. Is it possible to create a string of number sentences that uses all the numbers on the 0-20 number line? Why or why not? How would you convince a mathematician?

Once you've had a good think about it, you may like to look at this proof that has been scrambled up. Can you rearrange it into its original order?

If you would prefer to work away from a screen, you could print off, cut up and rearrange  the statements . (This sheet includes three copies of each statement.)

What about the 1-20 number line?  Is it possible to create a string of number sentences that uses all the numbers on the 1-20 number line? Why or why not? How would you convince a mathematician?

Again, once you have thought about it, you may like to look at this proof that has been scrambled up. Can you rearrange it into its original order?

If you would prefer to work away from a screen, you could print off, cut up and rearrange the statements . (This sheet includes two copies of each statement.)

It's a good idea to play the game lots of times to start with to get the feel of it. You could keep the lines you use for each game and compare them afterwards.

Are there any numbers that you haven't crossed off in any of the games you've played on the 0-20 number line? Will it ever be possible to cross them off? 

When you come to consider the 1-20 number line, have a think about the total number of numbers you use in a game.

Thank you to those of you who submitted comments about this game.

Anika from Holy Family Catholic Primary School in Boothstown, Manchester suggested the following rules:

• The answer from the previous calculation should be the answer to the next one
• You can only use each number once
• Player A uses addition and Player B uses subtraction, and this pattern follows throughout the game
• The aim of the game is to stop the other player from getting a calculation from the remaining numbers

Thank you, Anika! Jake said:

• Player A does a calculation using numbers 0-20. They cross off the numbers they use but circle the answer.
• Player B then uses the answer of player A's calculation to start their number sentence.
• Each player can decide whether they would like to add or subtract.
• The player who cannot make a calculation from the numbers remaining loses the game.

So, it seems that Anika and Jake were largely in agreement. Anika, it does look like the order of calculations goes addition, subtraction, addition, subtraction etc from what we see in the video, you're right. However, I would suggest that the order doesn't matter. (You can read our suggested rules by clicking on the 'Show' button underneath the video on the problem page itself .) 

Eleanor from Cottenham Primary School told us:

Good ways to win are to try and use up the numbers 1, 2, 3, 4 and possibly 5 and 6, because you can get to many different numbers by adding those whereas with the larger numbers you cannot get to so many because you can only go up to the number 20.

Eleanor also went on to explore the cooperative challenges. She says:

We can't use all of the numbers because: For the number line going from 0 to 20, you cannot use zero as you wouldn't be adding or taking away anything so you would stay on the same number.

Yes, Eleanor, if you add zero, or take away zero, from a number, the answer to your calculation is the same number, so you would need to be able to use a number more than once and the rules don't allow this.

For the number line going from 1 to 20, you cannot use all the numbers because there will always be one number left over. Each new calculation uses two new numbers apart from the first calculation which uses three so if you keep adding two to three you will always be on odd numbers and 20 is an even number, not odd.

Thank you, Eleanor, what great reasoning. Can you follow Eleanor's argument? 

Why play this game?

Possible approach, key questions, possible support, possible extension.

The possibilities are endless but do make sure they try out their new version of the game to check it is a 'good' game.

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AQA Entry Level 2 Maths - 10 PowerPoint Lessons Bundle

Last updated

13 August 2024

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Resources included (10)

Statistics PowerPoint Lesson - AQA Entry Level 2

AQA Entry Level 2 Maths - Shape and Space PowerPoint Lesson

AQA Entry Level 2 Maths - Measures- PowerPoint Lesson

AQA Entry Level 2 Maths - Time - PowerPoint Lesson

AQA Entry Level 2 Maths - Money - PowerPoint Lesson

AQA Entry Level 2 Maths - Fractions - PowerPoint Lesson

AQA Entry Level 2 Maths - Multiplication - PowerPoint Lesson

AQA Entry Level 2 Maths -Subtraction - PowerPoint Lesson

AQA Entry Level 2 Maths - Addition - PowerPoint Lesson

Numbers 1-20 PowerPoint Lesson: AQA Entry Level Maths

These resources have been designed for students working towards the AQA Entry Level Certificate in Maths who are working at Entry Level 2. The bundle contains 10, highly-visual and age-appropriate 10 PowerPoint lessons that cover the entire specification and all the components of Entry Level 2:

Properties of Numbers (1 - 100) Addition Subtraction Multiplication Fractions Money Time Measures Geometry - Shape Statistics

All the PowerPoint lessons are editable and cover all of the learning outcomes of the AQA Entry Level 2 specification. They all contain short video links. They are ideal for introducing the pupils to the various components of the specification and for revision purposes.

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AQA Entry Level 2 Maths 10 Workbooks Bundle

The workbooks contain explanation pages, worksheets (with answers), progress checks and certificates of achievement. They are available in PDF format and editable PowerPoint versions to enable personalisation and editing of the resource. They can be used for classwork, homework, revision or as independent learning packs.

AQA Entry Level 1 Maths Workbooks and PowerPoints Bundle

AQA Entry Level 1 Maths Workbooks Bundle

AQA Entry Level 2 Maths Workbooks Bundle

AQA Entry Level 3 Maths Workbooks Bundle

Entry Level English Resources

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