Question

Name the property of real numbers illustrated by the equation 16 (3t + 4v) = 48t = 64v.

a. Commutative Property
b. Distributive Property
c. Associative Property
d. Identity Property

Answer 1

The property of real numbers illustrated by the equation 16(3t + 4v) = 48t = 64v is the Distributive Property. The distributive property allows a number outside parentheses to be distributed or multiplied to each term inside the parentheses.

Step-by-step explanation:

The property of real numbers illustrated by the equation 16(3t + 4v) = 48t = 64v is the Distributive Property. The distributive property states that when a number outside parentheses multiplies the sum of values inside the parentheses, it can be distributed or multiplied to each term inside the parentheses.

In this equation, the number 16 is being distributed to both 3t and 4v. It is important to note that the equal sign (=) does not follow the distributive property.

Example: 16(3t + 4v) = (16 x 3t) + (16 x 4v) = 48t + 64v.