Miranda simplified an expression using the steps below:
1. 43 + (57 + 69)
2. (43+57) +69
3. 100 + 69
4. 169
Which property makes step 1 and step 2 equivalent expressions?
A. Associative Property of Addition
B. Commutative Property of Addition
C. Identity Property of Addition
D. Inverse Property of Addition
I think its A
6 years ago
6 years ago
Ok thank you!
6 years ago
You are welcome. By the way:
https://www.mathsisfun.com/definitions/associative-law.html
6 years ago
Oh, that was very useful! Thanks again!
11 months ago
Yes, you are correct. The property that makes step 1 and step 2 equivalent expressions is the Associative Property of Addition (Option A).
The Associative Property of Addition states that the grouping of numbers being added does not affect the sum. In other words, you can change the grouping of the numbers being added, and the result will remain the same.
In step 1, we have the expression 43 + (57 + 69). According to the Associative Property of Addition, we can change the grouping to (43 + 57) + 69 without changing the sum.
So, step 2, (43 + 57) + 69, follows the Associative Property of Addition by changing the grouping of the numbers. Since both steps give the same sum of 169, we can conclude that the correct property is the Associative Property of Addition (Option A).