The expression 3d×(6×−7) is equivalent to (3d×6)×−7 using the associative property. Hence the correct option is a.
The expression 3d×(6×−7) involves the multiplication of three factors. According to the associative property of multiplication, the way in which factors are grouped does not affect the result of the multiplication. Therefore, the expression can be reorganized as (3d×6)×−7 or 3d×6×−7. This allows us to change the grouping of factors without altering the product.
(3d×6)×−7, represents an equivalent expression using the associative property. It demonstrates that we can first multiply 3d and 6 together, and then multiply the result by −7, maintaining the overall value of the expression. Hence the correct option is a.
Complete ques:
Which of the following represents an equivalent expression to 3d×(6×−7) using the associative property?
A. (3d×6)×−7
B. 3d×6×−7
C. −7×(3d×6)
D. −7×3d×6