Is subtraction associative in rational numbers? Explain with an example.

Find the multiplicative inverse i.e. the reciprocal of

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

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

Find the multiplicative inverse i.e. the reciprocal of

$\frac{11}{20}$

Find the multiplicative inverse i.e. the reciprocal of

$-23$

Write the reciprocal of the following with a positive exponent.

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 of

$\frac{11}{-5}$

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 $x=\frac{11}{15}$
 

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

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

Find the multiplicative inverse i.e. the reciprocal of

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