Question

Name the property of real numbers illustrated by the equation 5 X 1/5 = 1

A Commutative Property
B Distributive Property
C Identity Property
D Inverse Property

Answer 1

it is not the commutative property

Because the commutative property means that you can rearrange the order of a multiplication problem or an Addison problem

nor is it the distributive property

Because you are not distributing

Answer 2

The correct option is D Inverse Property.

Explanation:

Consider the provided number.

5 × 1/5 = 1

Commutative property:

a + b = b + a

Distributive property:

a(b+c)=ab+ac

Identity property of mltiplication:

2c × 1 = 2c

Inverse property of multiplication.

a × 1/a = 1

Here, we can see multiplication of 5 and 1/5 is 1. That is the inverse property of multiplication. According to it if a number is multiply by its reciprocal is equal to one.

We can say 1/5 is a reciprocal of 5.

So it is inverse property.

Hence, the correct option is D Inverse Property.