Question

Which property is this an example of?

Answer 1

Multiplicative inverse property

Explanation:

Multiplicative inverse property states that

• Any number multiplied with its reciprocal or multiplicative inverse yields the result as 1

For example

A number 4

Reciprocal=1/4

Product

• 4(1/4)
• 1

Verified

Answer 2

Inverse Property of Multiplication

Explanation:

Inverse Property of Multiplication

The product of a number and its reciprocal is always 1.

The reciprocal of a number is 1 divided by the number.

Therefore, the reciprocal of a rational number is its inverse (swap the numerator and denominator).

For example:

`\textsf{The reciprocal of 6 is}\:\:\sf (1)/(6)`

`\implies \sf 6 * (1)/(6)=(6 * 1)/(6)=(\diagup\!\!\!\!6 * 1)/(\diagup\!\!\!\!6)=1`

`\sf \textsf{The reciprocal of }\:(3)/(4) \sf \:\:is\:\:\sf (4)/(3)`

`\sf \implies (3)/(4) * (4)/(3)=(3 * 4)/(4 * 3)=(12)/(12)=1`