Question

use the commutative property of addition to rewrite 3+5+7. which expression is equivalent? 3 of 4 questions 3+7+5 3+5+6 (3+5)−7 3(5+7) submit

Explanation:

Step1: Recall Commutative Property

The commutative property of addition states that for any numbers \(a\), \(b\), and \(c\), \(a + b + c=a + c + b\) (or any rearrangement of the addends). We need to apply this to \(3 + 5+7\).

Step2: Analyze Each Option

• Option 1: \(3 + 7+5\) rearranges \(5\) and \(7\) in \(3 + 5+7\), which follows the commutative property of addition.
• Option 2: \(3 + 5+6\) changes the addend \(7\) to \(6\), so it is not equivalent.
• Option 3: \((3 + 5)-7\) involves subtraction, which is not addition, so it is not equivalent.
• Option 4: \(3(5 + 7)\) is a multiplication expression, not an addition - only expression, so it is not equivalent.

Answer:

A. \(3 + 7+5\)