Which of the following could you rewrite using Associative property?

A: (9*5)*(8*3)

B: (5*8)+3

C: (9*5)+8+3

D: (5+8)*3

1 answer

The Associative Property states that the way in which numbers are grouped in addition or multiplication does not change their sum or product. This means that for addition, \( (a + b) + c = a + (b + c) \), and for multiplication, \( (a \times b) \times c = a \times (b \times c) \).

Looking at the given options:

A: \( (9 \times 5) \times (8 \times 3) \) - This involves multiplication, but it does not fit the associative property since it combines two products.

B: \( (5 \times 8) + 3 \) - This involves both multiplication and addition, but does not have a grouping that we can rearrange using just the associative property.

C: \( (9 \times 5) + 8 + 3 \) - This is addition, but again does not have a specific grouping that utilizes the associative property.

D: \( (5 + 8) \times 3 \) - This option can be rewritten using the associative property as \( 5 + (8 \times 3) \), which shows how we're grouping terms can change without affecting the outcome of addition and multiplication.

Thus, the best candidate here for applying the Associative Property is:

D: \( (5 + 8) \times 3 \).