Let’s solve each problem step by step. The worksheet is about the
Commutative Property of Addition, which means that when you add two numbers, switching their order doesn’t change the sum. For example:
a + b = b + a
We’ll go through each pair and calculate both ways to show they’re equal.
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1) 9 + 3 = ___ ; 3 + 9 = ___
9 + 3 = 12
3 + 9 = 12 → Same answer!
2) 16 + 3 = ___ ; 3 + 16 = ___
16 + 3 = 19
3 + 16 = 19
3) 9 + 5 = ___ ; 5 + 9 = ___
9 + 5 = 14
5 + 9 = 14
4) 3 + 8 = ___ ; 8 + 3 = ___
3 + 8 = 11
8 + 3 = 11
5) 10 + 3 = ___ ; 3 + 10 = ___
10 + 3 = 13
3 + 10 = 13
6) 17 + 1 = ___ ; 1 + 17 = ___
17 + 1 = 18
1 + 17 = 18
7) 18 + 1 = ___ ; 1 + 18 = ___
18 + 1 = 19
1 + 18 = 19
8) 5 + 7 = ___ ; 7 + 5 = ___
5 + 7 = 12
7 + 5 = 12
9) 17 + 2 = ___ ; 2 + 17 = ___
17 + 2 = 19
2 + 17 = 19
10) 3 + 2 = ___ ; 2 + 3 = ___
3 + 2 = 5
2 + 3 = 5
11) 7 + 3 = ___ ; 3 + 7 = ___
7 + 3 = 10
3 + 7 = 10
12) 8 + 9 = ___ ; 9 + 8 = ___
8 + 9 = 17
9 + 8 = 17
13) 9 + 1 = ___ ; 1 + 9 = ___
9 + 1 = 10
1 + 9 = 10
14) 9 + 10 = ___ ; 10 + 9 = ___
9 + 10 = 19
10 + 9 = 19
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All pairs give the same result because addition is commutative — order doesn’t matter!
Final Answer:
1) 12, 12
2) 19, 19
3) 14, 14
4) 11, 11
5) 13, 13
6) 18, 18
7) 19, 19
8) 12, 12
9) 19, 19
10) 5, 5
11) 10, 10
12) 17, 17
13) 10, 10
14) 19, 19
Parent Tip: Review the logic above to help your child master the concept of free algebra worksheets.
