Which equation demonstrates the distributive property?

Responses
A 55 + 22 = 7755 + 22 = 77
B 55 + 22 = 11(5 + 2)55 + 22 = 11(5 + 2)
C 55 x 22 = 22 x 5555 x 22 = 22 x 55
D (5 + 2)11 = 11(5 + 2)(5 + 2)11 = 11(5 + 2)

1 answer

The equation that demonstrates the distributive property is:

B: 55 + 22 = 11(5 + 2)

This shows the distributive property because it expresses the left side (55 + 22) as a factor (11) times the sum of two addends (5 + 2). The distributive property states that a(b + c) = ab + ac, which is illustrated here.