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:
\[
2 + \boxed{3} = 3 + 2
\]
- Using the commutative property, \(2 + 3\) is the same as \(3 + 2\).
- The missing number is \(3\).
---
Problem 3:
\[
3 + 5 = \boxed{5} + 3
\]
- Using the commutative property, \(3 + 5\) is the same as \(5 + 3\).
- The missing number is \(5\).
---
Problem 4:
\[
6 + 5 = \boxed{5} + 6
\]
- Using the commutative property, \(6 + 5\) is the same as \(5 + 6\).
- The missing number is \(5\).
---
Problem 5:
\[
13 + 14 = 14 + \boxed{13}
\]
- Using the commutative property, \(13 + 14\) is the same as \(14 + 13\).
- The missing number is \(13\).
---
Problem 6:
\[
5 + 2 = \boxed{5} + 2
\]
- Using the commutative property, \(5 + 2\) is the same as \(2 + 5\).
- The missing number is \(5\).
---
Problem 7:
\[
12 + 15 = \boxed{15} + 12
\]
- Using the commutative property, \(12 + 15\) is the same as \(15 + 12\).
- The missing number is \(15\).
---
Problem 8:
\[
3 + 11 = \boxed{14}
\]
- This is a straightforward addition problem.
- \(3 + 11 = 14\).
- The missing number is \(14\).
---
Problem 9:
\[
18 + \boxed{9} = 9 + 18
\]
- Using the commutative property, \(18 + 9\) is the same as \(9 + 18\).
- The missing number is \(9\).
---
Problem 10:
\[
\boxed{11} + 7 = 7 + 11
\]
- Using the commutative property, \(11 + 7\) is the same as \(7 + 11\).
- The missing number is \(11\).
---
Problem 11:
\[
21 + 10 = \boxed{10} + 21
\]
- Using the commutative property, \(21 + 10\) is the same as \(10 + 21\).
- The missing number is \(10\).
---
Problem 12:
\[
5 + 12 = \boxed{12} + 5
\]
- Using the commutative property, \(5 + 12\) is the same as \(12 + 5\).
- The missing number is \(12\).
---
Problem 13:
\[
6 + 6 = \boxed{6} + 6
\]
- Using the commutative property, \(6 + 6\) is the same as \(6 + 6\).
- The missing number is \(6\).
---
Problem 14:
\[
7 + 2 = 2 + \boxed{7}
\]
- Using the commutative property, \(7 + 2\) is the same as \(2 + 7\).
- The missing number is \(7\).
---
Final Answer:
\[
\boxed{8, 3, 5, 5, 13, 5, 15, 14, 9, 11, 10, 12, 6, 7}
\]
Parent Tip: Review the logic above to help your child master the concept of associative property addition worksheet 4th grade.