Question

PLEASE HELP THIS IS URGENT PLEASE!!!!!!!!!!!

The following steps were used to simplify the expression 4(3 +1/4).

4(3 +1/4)

4 · 3 + 4 · 1/4

12 + 1

13

Which of the following properties were used to simplify this problem? Not all steps required using a property.

distributive property and multiplicative inverse
distributive property and multiplicative identity
associative property and commutative property
associative property and multiplicative inverse

Answer 1

The properties used to simplify the expression 4(3 +1/4) are the distributive property and the multiplicative identity.

Step-by-step explanation:

The properties that were used to simplify the expression 4(3 +1/4) are the distributive property and the multiplicative identity.

The distributive property states that when you have a number outside parentheses multiplied by a sum inside the parentheses, you can distribute the multiplication to each term inside the parentheses. In this case, 4 is multiplied by 3 and by 1/4.

The multiplicative identity property states that any number multiplied by 1 is equal to the original number. In this case, 4·1 = 4.

Using the distributive property, we get 4 · 3 + 4 · 1/4 = 12 + 1. Then, using the multiplicative identity property, we simplify 12 + 1 to 13.