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.