Complete the table.

Numbers		Closed under
	Addition	Subtraction	Multiplication	Division
Natural number	Yes	_____	_____	_____
Whole numbers	_____	_____	_____	No
Integers	_____	Yes	_____	_____
Rational number	_____	_____	Yes	_____

Find the multiplicative inverse i.e. the reciprocal of

$\frac{11}{20}$

Find the multiplicative inverse i.e. the reciprocal of

$0\times \frac{2}{9}$

Verify the statement and name the property of multiplication illustrate by these statements:

$\left(\frac{3}{4}\times \frac{1}{2}\right) \times \frac{5}{7}=\frac{3}{4}\times \left(\frac{1}{2}\times \frac{5}{7}\right)$

$\frac{18}{49}-\frac{2}{7}=\frac{2}{7}-\frac{18}{49}$

Find the multiplicative inverse i.e. the reciprocal of

$-23$

Write the reciprocal of the following with a positive exponent.

Study the following statements carefully and select the correct option.

Statement $1$: Rational numbers are always closed under division.

Statement $2$: Division by zero is not defined.

Verify that $–\left(–x\right)=x$ for $x=\frac{11}{15}$
 

Find the multiplicative inverse i.e. the reciprocal of

$\frac{11}{-5}$

Find the multiplicative inverse i.e. the reciprocal of

$\frac{-19}{16}$

Every non-zero number has its more than one multiplicative inverse.

Find the multiplicative inverse i.e. the reciprocal

$\frac{4}{5}\times \frac{15}{8}$

The number that should be added to $\frac{-5}{9}$ to get the additive identity is:

The reciprocal of $0.03$ is :

Find the multiplicative inverse i.e. the reciprocal of

$\frac{-7}{-8}$