Problem: Solve the missing numbers in the addition problems using the Commutative Property of Addition.
The
Commutative Property of Addition states that:
\[
a + b = b + a
\]
This means the order of the numbers being added does not affect the sum.
Let's solve each problem step by step.
---
Problem 1:
\[
1 + 8 = \boxed{8} + 1
\]
- The commutative property shows that \(1 + 8\) is the same as \(8 + 1\).
- The missing number is already filled in as \(8\).
---
Problem 2:
\[
2 + \square = 3 + 2
\]
- By the commutative property, \(3 + 2 = 2 + 3\).
- Therefore, the missing number is \(3\).
\[
\boxed{3}
\]
---
Problem 3:
\[
3 + 5 = \square + 3
\]
- By the commutative property, \(3 + 5 = 5 + 3\).
- Therefore, the missing number is \(5\).
\[
\boxed{5}
\]
---
Problem 4:
\[
6 + 5 = \square + 6
\]
- By the commutative property, \(6 + 5 = 5 + 6\).
- Therefore, the missing number is \(5\).
\[
\boxed{5}
\]
---
Problem 5:
\[
13 + 14 = 14 + \square
\]
- By the commutative property, \(13 + 14 = 14 + 13\).
- Therefore, the missing number is \(13\).
\[
\boxed{13}
\]
---
Problem 6:
\[
5 + 2 = \square + 2
\]
- By the commutative property, \(5 + 2 = 2 + 5\).
- Therefore, the missing number is \(5\).
\[
\boxed{5}
\]
---
Problem 7:
\[
12 + 15 = \square + 12
\]
- By the commutative property, \(12 + 15 = 15 + 12\).
- Therefore, the missing number is \(15\).
\[
\boxed{15}
\]
---
Problem 8:
\[
3 + 11 = \square
\]
- This is a straightforward addition problem.
- Calculate \(3 + 11 = 14\).
\[
\boxed{14}
\]
---
Problem 9:
\[
18 + \square = 9 + 18
\]
- By the commutative property, \(9 + 18 = 18 + 9\).
- Therefore, the missing number is \(9\).
\[
\boxed{9}
\]
---
Problem 10:
\[
\square + 7 = 7 + 11
\]
- By the commutative property, \(7 + 11 = 11 + 7\).
- Therefore, the missing number is \(11\).
\[
\boxed{11}
\]
---
Problem 11:
\[
21 + 10 = \square + 21
\]
- By the commutative property, \(21 + 10 = 10 + 21\).
- Therefore, the missing number is \(10\).
\[
\boxed{10}
\]
---
Problem 12:
\[
5 + 12 = \square + 5
\]
- By the commutative property, \(5 + 12 = 12 + 5\).
- Therefore, the missing number is \(12\).
\[
\boxed{12}
\]
---
Problem 13:
\[
6 + 6 = \square + 6
\]
- By the commutative property, \(6 + 6 = 6 + 6\).
- Therefore, the missing number is \(6\).
\[
\boxed{6}
\]
---
Problem 14:
\[
7 + 2 = 2 + \square
\]
- By the commutative property, \(7 + 2 = 2 + 7\).
- Therefore, the missing number is \(7\).
\[
\boxed{7}
\]
---
Final Answer:
\[
\boxed{14, 3, 5, 5, 13, 5, 15, 14, 9, 11, 10, 12, 6, 7}
\]
Parent Tip: Review the logic above to help your child master the concept of identify the properties of mathematics worksheet.
