Question

Which equation would demonstrate the commutative property?

A. 14(3 + 4) = (14 · 3) + (14 · 4)
B. 36 · 27 = 27 · 36
C. 8 · 1 = 8
D. (8 · 1) x 7 = 8 · (1 · 7)

Answer 1

The equation 36 · 27 = 27 · 36 demonstrates the commutative property, which states that the order of multiplication does not affect the result.

Step-by-step explanation:

The equation that would demonstrate the commutative property is B. 36 · 27 = 27 · 36. The commutative property states that the order in which two numbers are multiplied or added does not affect the result. That is, for any numbers A and B, A · B = B · A for multiplication and A + B = B + A for addition. Other properties mentioned, such as the distributive property and the associative property, relate to different ways that operations can be combined and do not affect the order of the numbers being operated on.