Question

Name the property used in the following : $\left(\frac{3}{8}\right)\times 1=1\times \left(\frac{3}{8}\right)=\left(\frac{3}{8}\right)$

Answer 1

Name the property used:

We know that the "multiplicative Identity" is $1$, if we multiply $1$ to a rational number then we will get the same number.

Given$\left(\frac{3}{8}\right)\times 1=1\times \left(\frac{3}{8}\right)=\left(\frac{3}{8}\right)$

Observe that here we multiply a rational number by $1$ we get the same rational number.

Therefore, 1 is the ‘multiplicative identity’ of rational numbers.

Hence the multiplicative identity property is used in $\left(\frac{3}{8}\right)\times 1=1\times \left(\frac{3}{8}\right)=\left(\frac{3}{8}\right)$.