Question

1. Which expression is equivalent to 2 x (5 x 4)?a. 2+ (5 x 4)b. (2 x 5) x 4c. (2 x 5) x 4d. (5 x 4) x (2 X4)

Answer 1

We are given the following expression

`2*(5*4)`

Recall the associative property of multiplication

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

The associative property of multiplication says that when you multiply numbers, you can group the numbers in any order and still you will get the same result.

So, if we apply this property to the given expression then it becomes

`2*(5*4)=(2*5)*4`

Therefore, the following expression is equivalent to the given expression.

`(2*5)*4`