How could you rewrite the expression (–3 + 5) + 8 + (–1) using the Associative Property of Addition?
(1 point)
Responses
–3 – 8 + (5 + 1)
–3 – 8 + (5 + 1)
(–3 + (–1)) + (5 + 8)
(–3 + (–1)) + (5 + 8)
–3 + (5 +8) + (–1)
–3 + (5 +8) + (–1)
5 + 8 + 3 + 1
The correct answer is: –3 + (5 + 8) + (–1)
To rewrite the expression using the Associative Property of Addition, we can group the terms differently without changing the overall value. Let's break it down step-by-step:
1. Start with the original expression: (–3 + 5) + 8 + (–1)
2. Group the terms inside the parentheses using the associative property: –3 + (5 + 8) + (–1)
3. Combine the terms within each parentheses: –3 + 13 + (–1)
4. Simplify the expression: –3 + 13 – 1
Therefore, the expression (–3 + 5) + 8 + (–1) can be rewritten as –3 + 13 – 1 using the Associative Property of Addition.