Question

00:00

Mrs. Swan wrote 4 equations on the board.
Which equation shows the Associative Property of Multiplication?
O A. 3x6x1=3 x 1
O B. 3 x 6 = (3 x 2) + (3 x 4)
O C. 3x6 = 6 x 3
0 D. (3 x 6) x 2 = 3 (6 x 2)​

Answer 1

The associative property is when you can change the numbers within the parentheses without changing the outcome. So it would be D.

3x6=18. 18x2=36

6x2=12. 12x3=36


So even though there are different numbers in the parentheses the outcome is the same number.

Answer 2

Option D

Explanation:

The Associative Property of Multiplication allows you to group numbers in any combination, and still get the correct answer from it.

`a(b*c)=(a*b)c`

Option D '(3 x 6) x 2 = 3 (6 x 2)​' has the same numbers, but 3 and 6 are grouped while 6 and 2 are grouped on the other side.

`a*(b*c)=(a*b)*c\rightarrow(3 * 6)*2 = 3*(6 * 2)`

Option D should be the correct answer.