Question

Which expressions are equivalent to 6⋅(3⋅x)
?

Select each correct answer.

Responses

(6⋅3)⋅x
left parenthesis 6 times 3 right parenthesis times x

18x
18 x

6⋅3+6⋅x
6 times 3 plus 6 times x

(3⋅x)⋅6

Answer 1

Correct answers:

- (6⋅3)⋅x
- (the option written "left parenthesis 6 times 3 right parenthesis times x")
- 18x
- (3⋅x)⋅6

Reason: multiplication is associative and commutative, so 6⋅(3⋅x) = (6⋅3)⋅x = 18x = (3⋅x)⋅6. The option 6⋅3+6⋅x is incorrect (that would come from 6⋅(3+x), not 6⋅(3⋅x)).