Question

Which property is this an example of?

Answer 1

Answer:

Multiplicative inverse property

Step-by-step 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

Answer:

Inverse Property of Multiplication

Step-by-step 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:

$\textsf{The reciprocal of 6 is}\:\:\sf \dfrac{1}{6}$

$\implies \sf 6 \times \dfrac{1}{6}=\dfrac{6 \times 1}{6}=\dfrac{\diagup\!\!\!\!6 \times 1}{\diagup\!\!\!\!6}=1$

$\sf \textsf{The reciprocal of }\:\dfrac{3}{4} \sf \:\:is\:\:\sf \dfrac{4}{3}$

$\sf \implies \dfrac{3}{4} \times \dfrac{4}{3}=\dfrac{3 \times 4}{4 \times 3}=\dfrac{12}{12}=1$