Addition Worksheets For Grade 1-8: Free And Printable Worksheets
Addition worksheets are a crucial resource for learners in grades 1 through 8. These digit addition worksheets help reinforce the fundamental concepts of addition and provide ample opportunities for practicing addition facts across various grade levels. For learners, these addition worksheets provide ample opportunities to review and master basic addition concepts.
This guide provides addition worksheets for 1st through 8th graders along with worked examples, practice problems, and explanations.
Addition in the math curriculum
Addition is one of the first mathematical operations taught in elementary school. It is the foundation of many other mathematical operations. For example, students must understand addition to learn multiplication because multiplication at its core is repeated addition.
Often, addition is taught alongside subtraction because addition and subtraction are inverse operations.
Basic addition begins in Kindergarten when children learn what a sum is. They also learn to add within 5 using objects and visual models such as number bonds and rekenreks.
1st graders learn to add numbers within 100 and build fluency with single digit addition up to 10. In the 2nd grade and 3rd, learners build on their addition foundations by developing addition fluency within 100 and learning efficient strategies for adding within 1,000. They also develop two-digit addition strategies, which is crucial for building foundational math skills.
This is also the first time students learn about regrouping using base-ten blocks and other place value models.
4th and 5th graders learn how to add large numbers, and non-whole number addends, including fractions and decimals, fluently. Multi digit addition becomes important in understanding concepts like carrying and place value.
By 6th grade, children learn to add multi-digit decimals and apply addition to simple algebraic equations.
7th and 8th graders begin to add rational numbers and apply this skill to real-world mathematical situations.
Each grade level adds to the addition spiral curriculum. Learners must practice addition at each level to develop fluency and a conceptual understanding. Often, this is done through introducing addition concepts with physical and visual models and then moving towards more abstract strategies following the concrete-representational-abstract progression.
Addition and Subtraction Check for Understanding
Use this quiz to check your grade 2, 3, 4 and 7 students’ understanding of addition and subtraction.
Download Free Now!Why we’ve brought together these addition worksheets
We’ve spoken with hundreds of educators who tell us they want a bank of ready-to-go math worksheets to use with their elementary and middle schoolers in class and to set as homework.
Third Space Learning, is passionate about making math accessible to all learners and closing the math achievement gap while saving teachers time!
This guide brings together our collection of addition worksheets, practice worksheets, and practice pages for teachers to use to help students when practicing addition facts and boost learners’ understanding and application of addition.
What to expect from these addition worksheets
Math experts have designed every worksheet in this collection so they align with the Common Core State Standards. And, each worksheet can be adapted to state-specific standards.
Every printable addition worksheet, complete with an answer key, is designed to provide learners with the necessary addition practice to help master the math facts required to reach proficiency at each grade-level, including practicing addition facts.
How to use these addition worksheets
There are many ways to use these printable addition worksheets, both in and out of the classroom. To download, the appropriate worksheet, click the link in this guide, enter your email address and the worksheet will be sent to your inbox.
Some of the ways you can use these addition worksheets to solidify learners understanding and fluency of addition facts include:
Independent practice in class or math centers;
Math warm ups;
As part of the school’s math curriculum;
At home math review.
Addition worksheets by grade
This guide includes explanations of the addition facts learners will need to know at each stage of elementary and middle school.
You’ll find addition strategies, worked examples and a practice problem for learners to complete in addition to the relevant Third Space Learning addition worksheet and resource for each grade.
Addition worksheets for 1st Grade
First graders already have a foundation of understanding of adding numbers together from Kindergarten. They build on this understanding to learn simple addition within 20, building fluency with addition facts within 10. Single digit addition worksheets play a crucial role in helping students build foundational addition skills by focusing on problems involving two single-digit numbers.
They also learn to add within 100 by adding a two-digit number and a one-digit number, and a two-digit number and a multiple of ten.
To build an understanding and fluency with addition strategies, encourage the use of hands-on tools such as counters and base ten blocks, as well as visual models such as ten frames, double ten frames and number bonds.
Students should be able to subitize numbers up to 10, which means that they can ‘just see’ the number when looking at it, like a pattern on a dice, without counting all.
First graders also build an understanding of the equal sign, and learn that it means that both sides of the equal sign must be the same value. They also learn to add all, add on, and add using a number line and a 100 chart, as well as understand subtraction problems as missing addend problems.
1st grade single digit addition worksheets
Example 1
4 + 8
Answer: 12
First graders learn the basics of commutative property and beginning with the larger addend first helps count on strategies, rather than count all. Encourage learners to change this problem to 8 + 4.
Model this problem on a number line or a double ten frame by first showing 8. Then add 4 more. Learners might also choose to use counters or their fingers to count on from 8.
Encourage students to look for ways to make ten. If they know that 8 + 2 = 10, they can decompose 4 into 2 and 2, to add 8 + 2 = 10 and then add another 2 to get to 12.
Example 2
There were 6 pink flowers and 9 red flowers in a vase. How many total flowers were in the vase?
Answer: 15 flowers
First graders learn about different contexts for addition such as part-part-whole which is shown in this word problem. They can model these problems using a bar model to understand what the question is asking.
For this particular problem, learners might use ways to make ten as a strategy as well as starting with the larger addend. So they could start with 9 and decompose 6 into 1 + 5, so they would add 9 + 1 = 10 and then 10 + 5 = 15 to get a total of 15 flowers in the vase.
Support students by providing counters or other physical objects for students to use to check their work.
1st grade practice problem
There were 14 people at the playground. 8 more people joined. How many total people are at the playground now?
Answer: 22 people
More 1st grade addition worksheets:
Addition worksheets for 2nd Grade
Second graders use place value for 3-digit addition. They learn to add and subtract within 1,000 using base ten blocks and place value models to build conceptual understanding.
2nd graders are also expected to develop fluency in their addition strategies with 2-digit numbers. They tend to use base ten blocks, 100s charts and other symbolic strategies for addition.
Learners are introduced to the place value concept of ‘regrouping’ or ‘renaming’. This complex concept requires a lot of practice with hands-on models to understand it. It is recommended that students use base ten blocks or a quick picture for problem solving before moving towards a more symbolic strategy such as the standard algorithm for place value addition.
2nd grade addition problems
Example 1
254 + 37
Answer: 291
Model this problem by showing 2 hundreds, 5 tens and 4 ones for the first addend and 3 tens and 7 ones for the second addend.
Add the ones, 7 ones and 4 ones is 11 ones, and rename as 1 ten and 1 one
Next add the tens, 3 tens, 5 tens and the 1 ten renamed from the ones place to get 9 tens
Then add the hundreds. There are only 2 hundreds so no addition is needed
Add 2 hundreds + 9 tens + 1 = 291
Learners could also solve this problem by breaking one number apart by place value. Breaking 37 apart by place value, they would:
First add 254 + 30 to get to 284
Add 284 + 7 to get a sum of 291
They could also use a number line to show their work.
Example 2
There are 54 blue cars, 28 white cars and 12 black cars in the parking lot at the zoo. How many total cars are in the parking lot at the zoo?
Answer: 94 cars
Students must add together all three numbers. They can add the addends in any order because of the commutative property of addition.
Look for addition combinations that make a friendly number first. If learners know that 8 + 2 is 10, then they might recognize that 28 + 12 will make a more friendly multiple of ten.
28 + 12 = 40.
40 + 54 = 94 total cars.
Students can model this on a number line or with base ten blocks.
2nd grade addition practice problem
There were 24 adults at a festival. There were 9 more children than adults. How many total people were at the festival?
Answer: 33
24 + 9 = 33 children
24 + 33 = 57 total people
More second grade addition worksheets:
3rd Grade addition worksheets
3rd graders should be fluent in their addition and subtraction facts within 20, and have efficient, flexible strategies for solving addition problems within 100.
A fluency standard focuses on adding and subtracting within 1,000, including using mental math strategies. Incorporating mental addition techniques, such as column addition and math games, is crucial for enhancing students’ abilities to perform calculations in their heads, thereby improving overall math fluency.
Third grade math applies addition to multiplication and division and is the first time students learn to use the standard algorithm for place value addition problems. However, it is not an expectation until 4th grade.
Support students in using this strategy by helping them line numbers up by place value, and reinforcing the meaning of renaming/regrouping ones and tens.
Third graders still use many visual models including base ten blocks and place value charts for problems with 2-digit and 3-digit numbers.
3rd grade addition problems
Example 1
28 + 347
Answer: 475
Break the numbers apart using place value or the standard algorithm.
Students must understand that 7 + 8 = 15 which has one ten and 5 ones so the one ten goes in the tens place.
Example 2
There were 214 third graders and 137 fourth graders on a field trip at the science museum. If the total number of students rounds down to 300, then the museum can stay open to the public that day. If the total number of students rounds up to 400, then they must close the museum to the public during the field trip.
Based on the total number of students, will the museum stay open to the public?
Answer: 351 third graders. 351 rounds up to 400, therefore the museum must close to the public.
Third graders often solve multi-step problems involving the four operations so they need to keep track of their work.
Determine the total number of students on the field trip. 214 + 137 = 351
Does the total round to 300 or 400 when rounding to the nearest hundred?
Practice problem
Students were surveyed and asked what shirt color they were wearing on Tuesday. Look at the chart below of student responses. Answer the question that follows.
Student Shirt Colors on Tuesday
| Shirt color | Number of students with that color |
| Blue | 218 |
| Red | 123 |
| Green | 82 |
| Yellow | 77 |
How many total students were part of the shirt color survey?
Answer: 500
218 + 123 + 82 + 77 = 500
Encourage learners to look for combinations that add to create a friendly whole number, such as 77 + 123 = 200 and 218 + 82 = 300.
3rd grade addition worksheets:
Addition worksheets for 4th Grade
Fourth graders use the standard algorithm for addition with multi-digit whole numbers to solve word problems involving addition and subtraction. Teaching students various strategies for multi-digit addition, such as mental math, base ten blocks, and horizontal addition, can enhance their understanding and skills in mathematics.
It is the first time students learn to add and subtract non-whole numbers, including fractions and mixed numbers with like denominators.
This requires a deep understanding of addition and fractions and a conceptual understanding of the numerator and denominator.
Support students in adding and subtracting fractions with fraction strips and bar models.
4th grade addition problems
Example 1
1,245 + 238
Answer: 1,483
4th graders should use the standard algorithm here. Remind learners of regrouping when using this method. If the sum of the numbers in each column is greater than 10, they regroup/rename.
Learners can use a place value chart or grid paper to organize their work and line the numbers up by place value and can also use base ten blocks to prove their answer if necessary.
Example 2
\frac{1}{4} + \frac{3}{8}
Answer: \frac{5}{8}
When adding fractions, students must first find a common denominator. Here, the simplest common denominator to use is 8. Therefore, \frac{1}{4} becomes \frac{2}{8}.
\frac{2}{8} +\frac{3}{8} = \frac{5}{8}
Encourage the use of visual models, either hands-on fraction tiles or drawn pictures of fractions to build understanding.
Practice problem
I need 113 cups of flour to bake cookies and 46 cups of flour to bake a pie.
How much total flour do I need to bake the cookies and the pie?
Answer: 113 + 46 = 113 + 23 = 2 cups total
Addition worksheets for 5th Grade
Learners should be fluent in adding all multi-digit whole numbers and apply their understanding of addition and subtraction within the context of a simple expression using the order of operations.
Additionally, 5th graders build on their knowledge of adding fractions to add fractions with unlike denominators.
Fifth graders use hands-on and visual models and place value strategies to solve decimal addition problems.
5th grade multi digit addition problems
Example 1
2 \frac{3}{4} + 5 \frac{4}{6}
Answer: 8 \frac{5}{12}
These denominators are considered ‘unlike’ denominators because they are not as easy to find a common denominator. The lowest common denominator for both 4 and 6 is 12.
First, students need to convert \frac{3}{4} and \frac{4}{6} into equivalent fractions with the denominator 12.
The new mixed numbers become 2 \frac{9}{12}+ 5 \frac{8}{12}
\frac{9}{12} + \frac{8}{12}= \frac{17}{12} = 1 \frac{5}{12}
5 + 2 + 1 \frac{5}{12}= 8 \frac{5}{12}
Example 2
2.84 + 34.6
For decimal addition and subtraction problems, students first need to build conceptual understanding using visual models before more symbolic strategies such as the standard algorithm. Learners can use zeros as placeholders if needed to help line numbers up appropriately.
Practice problem
The store made $98.75 on Saturday and $103.05 on Sunday. How much money did the store make on Saturday and Sunday combined?
Answer: $201.80 total
More fifth grade addition worksheets:
Addition worksheets for 6th Grade
Sixth grade addition is more advanced than elementary addition and is applied to more complex math concepts.
Sixth graders should be able to add multi-digit decimals fluently, using efficient strategies such as the standard algorithm. They also learn to apply addition to writing and interpreting equations with variables representing quantities and apply this to real-world mathematical situations, finding the missing value of basic mathematical expressions.
6th grade addition problems
Example 1
249.48 + 67.305
Answer: 316.785
Learners should set up both numbers vertically using a place value chart or grid paper. Decimals should be lined up so they are stacked on top of each other. When solving decimal number addition problems, learners must have a foundation of whole number addition fluency to build on.
To solve this problem, students start in the thousandth place, and work right to left.
Example 2
Find the value of q in the expression 3.2 + p = q where the value of p is 7.004.
Answer: 10.204
Learners should put the value of p in the expression so it now reads 3.2 + 7.004 = q.
As an extension, teachers could ask students to think of a real world situation that could represent this equation, such as the weight in pounds of two watermelons grown in a garden or the distance a runner ran during two training runs.
Practice problem
A runner ran 6.92 miles on Saturday and 8.09 more miles on Sunday than Saturday. How many miles did the runner run on both days combined?
Answer: 6.92 + 15.01 = 21.93 total miles
More sixth grade addition worksheets:
Addition worksheets for 7th and 8th Grade
In 7th and 8th grade, addition is usually combined with other skills such as understanding positive and negative integers or using scientific notation.
Learners also apply addition facts and skills to adding within linear equations as well as adding numbers with exponents.
The upper middle school grades focus on adding and subtracting rational numbers. Children learn the meaning of rational numbers and both positive and negative integers.
They learn that adding a positive integer moves to the right on the number line and adding a negative integer is the same as subtracting that number so it moves left on the number line.
Number lines and double numbers lines are very helpful tools for 7th and 8th grade problem solving.
7th and 8th grade addition problems
Example 1
-2 + -8
Answer: -10
Students can use a number line to model the first addend -2. Then model adding negative 8. When adding a negative it means subtract or move to the left on the number line.
Example 2
24³ + (168 x 10⁻² )
Find the value of 24³ by multiplying 24 by itself 3 times. So 24 x 24 x 24 = 13,824
Next, find the value of 10⁻² which is 0.01
Then, multiply 168 x 0.01 which is 1.68.
Last, add 13,824 + 1.68 to get a sum of 13,825.68
Practice Word problems
Find the value of the expression and write the value using scientific notation:
(1.4 x 10⁴ ) + (6.3 x 10³ )
Answer: 14,000 + 6,300 = 20,300 = 20.3 x 10³
More practice problems and 7th and 8th grade addition worksheets:
Where to find more printable addition worksheets and resources
Browse the Third Space Learning resource library for more free addition worksheets. You’ll find a selection of free printable worksheets, topic guides and additional resources on Numbers and Quantity
For quick download, here’s a list of more ready-to-go, easy-to-use addition worksheets for 1st through 8th graders:
Grades 1-8 addition takeaways
Addition is a key mathmeatical skill taught using a spiral curriculum form Kindergarten through to high school.
Build a conceptual understanding of the basic addition skills before moving learners on to more complex addition concepts.
Transition from visual models such as number lines to building fluency with symbolic strategies like the standard algorithm.
Apply addition problems and word problems to real-world problems including but not limited to, multiplicative compare, ratios and rates, among other contexts.
In addition to a wide range of free worksheets, topic guides and resources, Third Space Learning provides one-on-one math tutoring for struggling students.
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