Question

The associative property quick check which of the following expressions could you rewrite using the associative property
(5 •8)+3
(5+8)-3
(9•5)+8+3

Answer 1

The associative property states that how you group numbers in an operation (addition or multiplication) does not change the result. It applies to both addition and multiplication, but not to subtraction or division.

Let's examine the expressions:

1. **(5 • 8) + 3**: This expression can be rewritten using the associative property if you want to change the grouping of multiplication and the addition of other terms. However, there is currently only one multiplication operation. It does not have additional numbers to change the grouping; thus, it cannot be rewritten using the associative property.

2. **(5 + 8) - 3**: This expression involves subtraction, which does not follow the associative property. Therefore, it cannot be rewritten using the associative property.

3. **(9 • 5) + 8 + 3**: This expression can be rewritten using the associative property because it involves addition. You can group the terms (8 + 3) in different ways:
- (9 • 5) + (8 + 3) = (9 • 5 + 11),
- and you could also group (9 • 5 + 8) + 3 = 45 + 8 + 3.

Thus, **the expression that can be rewritten using the associative property is (9 • 5) + 8 + 3**.