Which property is shown by -5x(6+7)=-5x6+(-5)x7?

A. Commutative property of addition
B. Identity property of addition
C. Distributive property
D. Associative property of addition
Is the answer D?

Nope. C

time to review

5×(6×7)=(5×6)×7

c

9×10=

No, the correct answer is C. Distributive property.

To understand why, let's break down the equation:

-5x(6+7) = -5x6 + (-5)x7

Here, we are asked to find which property is being shown by this equation.

The distributive property states that when you multiply a number by a sum in parentheses, you can distribute the multiplication to each term inside the parentheses.

In this equation, we have -5 multiplied by the sum (6+7). By applying the distributive property, we can multiply -5 by both 6 and 7 individually.

-5 x (6+7) = -5x6 + (-5)x7

So, the equation demonstrates the distributive property, as we are distributing the -5 to both terms inside the parentheses. Therefore, the correct answer is C. Distributive property.