Commutative Property of Addition Worksheets | Grade1to6.com - Free Printable

Problem Explanation:

The worksheet focuses on the Commutative Property of Addition, which states that changing the order of the numbers being added does not change the sum. For example, \( 8 + 4 = 4 + 8 \).

The task is to rewrite each addition problem in a different order while ensuring the sum remains the same.

Solution:

#### i. \( 8 + 4 = \)
Rewrite: \( 4 + 8 \)

#### ii. \( 5 + 1 = \)
Rewrite: \( 1 + 5 \)

#### iii. \( 2 + 3 = \)
Rewrite: \( 3 + 2 \)

#### iv. \( 7 + 1 + 3 = \)
Rewrite: \( 1 + 7 + 3 \) or \( 3 + 7 + 1 \) (any permutation of the numbers)

#### v. \( 5 + 7 = \)
Rewrite: \( 7 + 5 \)

#### vi. \( 13 + 3 + 1 = \)
Rewrite: \( 3 + 13 + 1 \) or \( 1 + 13 + 3 \) (any permutation of the numbers)

#### vii. \( 14 + 6 = \)
Rewrite: \( 6 + 14 \)

#### viii. \( 9 + 1 + 5 = \)
Rewrite: \( 1 + 9 + 5 \) or \( 5 + 9 + 1 \) (any permutation of the numbers)

#### ix. \( 9 + 7 = \)
Rewrite: \( 7 + 9 \)

#### x. \( 6 + 1 + 3 = \)
Rewrite: \( 1 + 6 + 3 \) or \( 3 + 6 + 1 \) (any permutation of the numbers)

#### xi. \( 1 + 2 = \)
Rewrite: \( 2 + 1 \)

#### xii. \( 6 + 8 + 2 = \)
Rewrite: \( 8 + 6 + 2 \) or \( 2 + 6 + 8 \) (any permutation of the numbers)

#### xiii. \( 13 + 6 = \)
Rewrite: \( 6 + 13 \)

#### xiv. \( 2 + 9 + 3 = \)
Rewrite: \( 9 + 2 + 3 \) or \( 3 + 2 + 9 \) (any permutation of the numbers)

#### xv. \( 16 + 7 + 2 = \)
Rewrite: \( 7 + 16 + 2 \) or \( 2 + 16 + 7 \) (any permutation of the numbers)

#### xvi. \( 14 + 4 + 2 = \)
Rewrite: \( 4 + 14 + 2 \) or \( 2 + 14 + 4 \) (any permutation of the numbers)

Final Answers:

\[
\boxed{
\begin{array}{ll}
\text{i. } 8 + 4 = 4 + 8 & \text{ix. } 9 + 7 = 7 + 9 \\
\text{ii. } 5 + 1 = 1 + 5 & \text{x. } 6 + 1 + 3 = 1 + 6 + 3 \\
\text{iii. } 2 + 3 = 3 + 2 & \text{xi. } 1 + 2 = 2 + 1 \\
\text{iv. } 7 + 1 + 3 = 1 + 7 + 3 & \text{xii. } 6 + 8 + 2 = 8 + 6 + 2 \\
\text{v. } 5 + 7 = 7 + 5 & \text{xiii. } 13 + 6 = 6 + 13 \\
\text{vi. } 13 + 3 + 1 = 3 + 13 + 1 & \text{xiv. } 2 + 9 + 3 = 9 + 2 + 3 \\
\text{vii. } 14 + 6 = 6 + 14 & \text{xv. } 16 + 7 + 2 = 7 + 16 + 2 \\
\text{viii. } 9 + 1 + 5 = 1 + 9 + 5 & \text{xvi. } 14 + 4 + 2 = 4 + 14 + 2 \\
\end{array}
}
\]