math problem solving questions addition

Problem Solving on Addition

Problem solving on addition will help us to get the idea on how to solve the basic addition statement problems.

1.  Three boys were playing cricket. Two more boys came along and played cricket with them. How many boys altogether were playing cricket?

Number of boys were playing cricket = 3

Number of boys came along and played cricket with them = 2

Therefore, total number of boys were playing cricket = 3 + 2 = 5

2.  Harry had 5 stamps. Mother gave him 4 more. How many stamps in all did Harry have?

Number of stamps Harry had = 5

Number of stamps his mother gave him = 4

Therefore, total number of stamps he have = 5 + 4 = 9

3. Rachael had 6 stamps. Father gave her 2 stamps. How many stamps does Rachael have now?

Number of stamps Rachael had = 6

Number of stamps her father gave her = 4

Therefore, total number of stamps she have now = 6 + 4 = 10

4. In a classroom, there were 2 brown tables, 1 red table and 3 green tables. How many tables were there altogether?

Number of brown tables = 2

Number of red table = 1

Number of green tables = 3

Therefore, total number of tables in a classroom = 2 + 1 + 3 = 6

5. Jack spent 5 dollars for a pen, 3 dollars for a color box, 2 dollars for a pencil box. How much did he spend altogether?

Amount of money Jack spent for a pen = $5

Amount of money he spent for a color box = $3

Amount of money he spent for a pencil box = $2

Therefore, total amount of money he spend altogether = $5 + $3 + $2 = 10

6. There were 6 yellow hats, 2 red hats and 6 blue hats. How many hats were there?

Number of yellow hats = 6

Number of red hats = 2

Number of blue hats = 6

Therefore, total number of hats were there = 6 + 2 + 6 = 14

7. Alex had 4 books on cars, 5 on airplanes and 7 on boats. How many books did he have in all?

Number of books on cars Alex had = 4

Number of books on airplanes = 5

Number of books on boats = 7

Therefore, total number of books he have in all = 4 + 5 + 7 = 16

More examples on statement problem solving on addition:

8. In a game Mary had the best score. She made 8 in her first turn, 6 in her second and 5 in her third. What was her total score?

Number of score Mary had in her first turn = 8

Number of score in her second turn = 5

Number of score in her third turn = 7

Therefore, total number of score Mary had in a game = 8 + 5 + 7 = 20

9. Sarah had 25 cards. She got 7 cards more. How many cards did she have then?

Number of cards Sarah had = 25

Number of cards she got more = 7

Therefore, total number of cards she have then = 25 + 7 = 32

10. A farmer had 45 sheep before he bought 25 more. How many sheep did he have then?

Number of sheep a farmer had = 45

Number of sheep he bought more = 25

Therefore, total number of sheep he have then = 45 + 25 = 70

Word Problems on Addition:

11. A basket had 28 mangoes in it. 14 more mangoes are kept in the basket. How many mangoes are there in the basket now?

The basket had                 2 8    mangoes

Mangoes kept in       (+)   1 4                      

Now, there are                 4 2 mangoes in all

Thus, there are 42 mangoes in the basket now.

12. Aaron scored 33 runs in the first cricket match and 29 runs in the second. How many runs did he score in all?

Aaron scored                  3 3  runs in the first match

He scored                (+)  2 9  runs in the second match

He scored                       6 2  runs in all                      

Thus, he scored 62 runs in all.

2nd Grade Math Practice

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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 Word Problem Worksheets

The addition word problem worksheets presented here involve performing addition operations with regrouping and without regrouping. Our extensive and well-researched word problem worksheets feature real-life scenarios that involve single-digit addition, two-digit addition, three-digit addition, and addition of large numbers. These pdf handouts are designed to provide ample practice for elementary school children. Free worksheets are included.

Single-digit Addition Word Problems

These printable practice worksheets involve simple addition of single-digit numbers. Read the word problems and perform addition operations to arrive at the answers.

• Download the set

Addition Word Problems: Sum up to 20

Featured in these worksheets are engaging word problems whose sums add up to 20. Addends may have a combination of single-digit and two-digit numbers.

Addition Problems: Two-digit and Single-digit

A number of real-life scenarios in the form of word problems featured in the addition worksheets here involve single digit and two-digit addends.

Two-digit Addition Problems - No Regrouping

The word problems in this section do not require regrouping or carrying. Find the answers to the word problems that feature two-digit addends.

Two-digit Addition Problems - With Regrouping

All two-digit addition word problems presented in this set of worksheets here require regrouping (carry over). Follow the place value columns to sum up the two-digit addends.

Theme based Word Problems

Presented here are worksheets with three colorful themes - Fall Season, Aquarium and Theme Park. Read the questions and solve the word problems. Answer keys are included.

Three-digit and Two-digit Addition

A total of 15 addition word problems spread over three PDF worksheets presented here require you to sum up three-digit addends with the two-digit addends.

Three-digit Addition Word Problems

Enhance your arithmetic skills. Read the word problems and sum up three-digit addends in these printable worksheets. Some problems may require regrouping. Answer key included in each worksheet.

Multi-digit Addition Word Problems: Adding Large Numbers

The word problems presented in the worksheets here feature large numbers with addends up to eight digits.

Related Worksheets

» Subtraction Word Problems

» Multiplication Word Problems

» Division Word Problems

» Math Word Problems

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[FREE] Fun Math Games & Activities Packs

Always on the lookout for fun math games and activities in the classroom? Try our ready-to-go printable packs for students to complete independently or with a partner!

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Addition and subtraction

Here you will learn strategies on how to add and subtract, including using visual models, the number line, and algorithms.

Students will first learn about addition and subtraction in kindergarten, continue to add and subtract larger numbers in 2 nd and 3 rd grade, and learn the standard algorithm in 4 th grade. In 7 th grade, students learn to add and subtract with integers and then rational numbers.

What are addition and subtraction?

Addition is the operation of combining two or more numbers together. Subtraction is the operation of taking away from a number.

Students as early as pre-k have a basic, informal understanding of addition and subtraction. By the end of Kindergarten, students can operate within 10, heavily relying on models like counters or 10 frames to solve.

By the end of first grade, students should be able to add and subtract fluently within 20. As students work on repeatedly adding and subtracting with single digit numbers, they deepen their number sense around the operations by solving in different ways.

This includes beginning to build number bonds.

For example,

• Seeing 5+4 and knowing the sum is 9 without having to solve.
• Seeing 9-4 and knowing the difference is 5 without having to solve.

This aids students as they go into 2 nd and 3 rd grade and learn to add and subtract multi-digit numbers (within 1,000 ). At this level, students are still relying on number relationships, properties of operations, place value ideas, models, etc. to solve.

When adding 3- digit numbers, students may combine each place value of the addends separately.

Hundreds \hspace{1.1cm} Tens \hspace{1.2cm} Ones

200 + 100 \hspace{1cm} 30 + 40 \hspace{1cm} 5 + 9 \hspace{1cm}

= 300 \hspace{1.5cm} = 70 \hspace{1.3cm} = 14

And then add in the partial sums:

300+70+14=384

When subtracting numbers that are larger, students may use what they know about place value to solve.

The distance from 781-395 is the same as 786-400, it is just shifted up 5 on the number line.

Now solve 786-400 by taking away 4 hundreds.

786-400=386, so 781-395=386.

Once students have developed a flexible understanding of multi-digit addition and multi-digit subtraction in 2 nd grade and 3 rd grade, they learn the standard algorithm in 4 th grade.

It is important to consider the place value of each digit and line up the corresponding digits in each number.

In 5 th grade and 6 th grade, students continue to add and subtract with whole numbers and apply these strategies to decimal operations.

See also: Adding and subtracting decimals

In 7 th grade, students learn to add and subtract integers and rational numbers.

You can add and subtract integers using visual models or a number line.

Step-by-step guide: Adding and subtracting integers

You can also add and subtract rational numbers using visual models or a number line.

[FREE] Addition and Subtraction Worksheet (Grade 2 to 7)

Use this quiz to check your grade 2, 3, 4 and 7 students’ understanding of addition and subtraction. 15+ questions with answers covering a range of 2nd, 3rd, 4th and 7th grade addition and subtraction topics to identify areas of strength and support!

Common Core State Standards

How does this apply to 2 nd grade math, 3 rd grade math, 4 th grade, and 7 th grade math?

• Kindergarten – Operations and Algebraic Thinking (K.OA.A.2) Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.
• Grade 1 – Operations and Algebraic Thinking (1.OA.C.6) Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., 8+6=8+2+4=10+4=14 ); decomposing a number leading to a ten (e.g., 13-4=13-3-1=10-1=9 ); using the relationship between addition and subtraction (e.g., knowing that 8+4=12, one knows 12-8=4 ); and creating equivalent but easier or known sums (e.g., adding 6+7 by creating the known equivalent 6+6+1=12+1=13 ).
• Grade 2 – Operations and Algebraic Thinking (2.OA.A.1) Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.
• Grade 2 – Numbers and Operations in Base Ten (2.NBT.B.5) Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.
• Grade 3 – Numbers and Operations in Base Ten (3.NBT.A.2) Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.
• Grade 4 – Numbers and Operations in Base Ten (4.NBT.A.4) Fluently add and subtract multi-digit whole numbers using the standard algorithm.
• Grade 7- The Number System (7.NS.A.1) Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
• Grade 7- The Number System (7.NS.A.3) Solve real-world and mathematical problems involving the four operations with rational numbers.

How to add and subtract

There are a lot of ways to add and subtract. For more specific step-by-step guides, check out the individual pages linked in the “What are addition and subtraction?” section above or read through the examples below.

Addition and subtraction examples

Example 1: two digit addition.

Solve 34 + 58.

• Choose a strategy.

You can use a model of the tens and ones.

Combine the tens and ones.

You can create one new group of ten from 10 ones.

This leaves 9 tens and 2 ones, which is 92.

So, 34+58=92.

Example 2: three digit subtraction

Solve 340-291.

You can use a number line to count up to 340 from 291.

The difference between 291 and 340 is 49.

So, 340-291=49.

Example 3: addition with the algorithm

Add 4,297 + 381 with the algorithm.

You can estimate to decide if your answer is reasonable.

4,297 rounds to 4,300.

381 rounds to 400.

4,300+400=4,700, so the answer should be close to 4,700. Since 4,678 is close, the answer is reasonable.

4,297+381=4,678

Example 4: subtraction word problem with the algorithm

After the harvest, a farmer has 2,148 pears. 213 of the pears are rotten and cannot be sold. If the farmer sells the rest, how many pears will she sell?

2,148 - 213 = ⬜

2,148 rounds to 2,000.

213 rounds to 200.

2,000-200=1,800, so the answer should be close to 1,800. Since 1,935 is close, the answer is reasonable.

2,148-213=1,935

Example 5: subtracting integers with models

Subtract: -4 -(-6)=?

-4 - (-6) starts with -4 and removes -6. Add 2 zero pairs in order to remove -6.

There are two positive counters left.

Example 6: adding rational numbers with the algorithm

Solve -34 \cfrac{2}{3}+\left(-567 \cfrac{3}{4}\right) .

-34 \cfrac{2}{3}+\left(-567 \cfrac{3}{4}\right) combines two negative amounts, which do not create zero pairs.

This means the answer will be even more negative. You can use the algorithm for addition to see what the total amount is.

\begin{aligned}& 34 \frac{2}{3}+567 \frac{3}{4} \\\\ & =34 \frac{2 \times 4}{3 \times 4}+567 \frac{3 \times 3}{4 \times 3} \\\\ & =34 \frac{8}{12}+567 \frac{9}{12} \\\\ & =601 \frac{17}{12} \text { or } 602 \frac{5}{12}\end{aligned}

Adding two negative numbers results in a negative number. For example, if you started on the number line and went back 34 \cfrac{2}{3} and then you went back 567 \cfrac{3}{4} more, you are further down the negative side of the number line.

-34 \cfrac{2}{3}+\left(-567 \cfrac{3}{4}\right)=-602 \cfrac{5}{12}

Teaching tips for addition and subtraction

• Sufficient time using place value blocks, 100 s charts, grids and other interactive manipulatives should be provided to students when they are first learning to operate with any new set of numbers. The Common Core Standards intentionally allow time for students to develop an understanding of the operation, before learning how to use the algorithm.
• When students are first learning, encourage them to make connections between addition problems and subtraction problems. As students learn how to operate with any new set of numbers (whole, integer, or rational), it is crucial that they see the connection, as this opens the door to solving strategies, helps them make sense of the algorithms, and can be used to decide if an answer is reasonable. Understanding this relationship is also important for later topics like solving equations.
• When choosing printable math worksheets, look for resources that have missing numbers in all parts of the equation (start unknown, change unknown, result unknown). This helps students develop flexible ideas about the operations and can help prevent mindlessly grabbing numbers from word problems.
• Instead of giving students subtraction worksheets that have dozens of questions to solve, prioritize worksheets that allow students to solve in more than one way and that encourage them to consider the reasonableness of their answer. While there may be times that students are expected to solve in a larger quantity (for example, when learning the algorithm or completing a math review packet), the majority of student work should focus on depth not breadth.

Easy mistakes to make

• Not considering the place value of numbers when solving When using strategies to solve, students may choose a strategy they do not fully understand, causing them to misuse place value. For example, 56 + 78 Thinking that they can just add 5+6+7+8.
• Thinking subtraction always leads to a smaller number (and vice versa with addition) Students often create this false idea because subtracting a larger number from a smaller number or adding negative numbers are not addressed in elementary school. As students begin to operate with integers, it is important to consistently ask them to make sense of an equation before operating. This may be explaining the operation in their own words or using a model to show what is happening.

• Not making sense of operations with rational numbers By the time students operate with rational numbers, they will have learned many algorithms. Though algorithms can be useful, if used in a rush it is easy to make mistakes. Encourage students to think about a reasonable answer before solving. This can help them catch mistakes.

Practice addition and subtraction questions

1. Solve 39 + 46.

This leaves 8 tens and 5 ones, which is 85.

2. Solve 763-594.

You can use a number line to count up to 594 from 763.

The difference between 594 and 763 is 169.

So, 763-594=169.

3. Solve 5,621 + 3,570.

To use the standard algorithm, stack the numbers and line up the place values.

5,621 rounds to 6,000.

3,570 rounds to 4,000.

6,000+4,000=10,000, so the answer should be close to 10,000.

Since 9,191 is close, the answer is reasonable.

5,621+3,570=9,191

4. Jerome has 18,341 points in a game. Yasmine has 8,239 points in the same game. How many more points does Jerome have?

18,341-8,239 = ⬜

To solve with the standard algorithm, stack the numbers and line up the place values.

18,341 rounds to 18,000.

8,239 rounds to 8,000.

18,000-8,000=10,000, so the answer should be close to 10,000.

Since 10,102 is close, the answer is reasonable.

18,341-8,239=10,102

5. Subtract: -12-3= \, ?

-12-3 starts with -12 and removes 3 positives. Add 3 zero pairs in order to remove 3.

There are 15 negative counters left.

You can also think of this as the distance from 3 to -12.

6. Solve -84.4+391.02= \, ?.

-84.4 + 391.02 combines negative and positive values, which creates zero pairs. This means that -84.4+391.02=391.02-84.4, so you can use the standard algorithm to solve.

Adding a smaller negative number to a larger positive results in a positive answer.

-84.4+321.02=306.62

Addition and subtraction FAQs

Regrouping is when you are adding and have more than 10 ones, tens, hundreds, etc. and you need to regroup to create a new group of ten, hundred, etc. For example, if you add 27 + 18, you will have 3 tens and 15 ones. You regroup 10 of the ones to be a new group of ten, so you are left with 4 tens and 5 ones, or 45.

Exchanging is when you are subtracting and you do not have enough ones, tens, hundreds, etc. to take away and you need to exchange for a new group of ten, hundred, etc. For example, if you subtract 27 - 18, you start with 7 ones and need to take away 8. There are not enough, so you exchange one of the tens in 27 for ones. Then you have 1 ten and 17 ones. Now you can subtract 8 ones from 17 ones, leaving 9 ones.

In 4 th grade students learn to add and subtract fractions with common denominators. In fifth grade they learn to add and subtraction fractions with uncommon denominators. Then in 7 th grade they are expected to add and subtract negative fractions. See also: Adding and subtracting fractions

The next lessons are

• Multiplication and division
• Types of numbers
• Rounding numbers
• Add and subtract within 1000
• Adding and subtracting rational numbers
• Add and subtract within 100
• Add and subtract with the algorithm

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[FREE] Common Core Practice Tests (Grades 3 to 6)

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40 multiple choice questions and detailed answers to support test prep, created by US math experts covering a range of topics!

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