Question

Which equation demonstrates the distributive property?

a. 15 + 40 = 55
b. 15 x 40 = 40 x 15
c. (3 + 8)5 = 5(3 + 8)
d. 15 + 40 = 5(3 + 8)

Answer 1

I'm gonna say C )

We have to multiply the number outside the parenthesis by the numbers inside.

Answer 2

Answer: The correct equation is (d). 15 + 40 = 5(3 + 8).

Step-by-step explanation: We are given to select the correct equation from the options that demonstrates the distributive property.

DISTRIBUTIVE PROPERTY: For any three real numbers a, b and c, the distributive property can be written as

(i) a(b + c) = ab + ac,

(ii) (a + b)c = ac + bc.

Out of the given for equations, only equation (d) gives the distribution of 5 over the addition of 3 and 8.

We have, according to the distributive property,

5(3 + 8) = 5 × 3 + 5 × 8 = 15 + 40.

Thus, the correct option is (d).