Can you find the reciprocal of $\text{'}0\text{'}$(zero)? Is there any rational number such that when it is multiplied by $\text{'}0\text{'}$ gives $\text{'}1\text{'}$?

$\_\_\_\_\_\times 0=1$ and $0\times \_\_\_\_\_=1$

Complete the following table.

Complete the following table.

Name the property involved in the following example:

$\frac{8}{5}+0=\frac{8}{5}=0+\frac{8}{5}$

Name the property involved in the following example: [Closure property/ Commutative property/ Associative property/ Distributive property]

$2\left(\frac{3}{5}+\frac{1}{2}\right)=2\left(\frac{3}{5}\right)+2\left(\frac{1}{2}\right)$

Name the property involved in the following examples

$\frac{3}{7}\times 1=\frac{3}{7}=1\times \frac{3}{7}$

Name the property involved in the following examples

$\left(\frac{-2}{5}\right)\times 1=\frac{-2}{5}=1\times \left(\frac{-2}{5}\right)$

(Distributive Property/ Multiplicative Inverse/Additive Inverse/Multiplicative Identity).

Name the property involved in the following example:

$\frac{2}{5}+\frac{1}{3}=\frac{1}{3}+\frac{2}{5}$

(Commutative law of addition/Distributive law of addition/Associative law of addition)

The property involved in the following example is _____ property in multiplication:

$\frac{5}{2}\times \frac{3}{7}=\frac{15}{14}$