Rational Number...

Addition of rational numbers does not satisfy which of the following property?

If A : Rational numbers are always closed under division and
R : Division by Zero is not defined, then which of the following statement is correct?

Which of the following alternatives is wrong? Given that
(i) difference of two rational numbers is a rational number
(ii) subtraction is commutative on rational numbers
(iii) addition is not commutative on rational numbers.

Which of the following statements is true?

Name the property of multiplication illustrated by
$$\displaystyle \frac{-4}{3} \times \left(\displaystyle \frac{6}{5} + \frac{8}{7} \right) = \left(\displaystyle \frac{-4}{3} \times \frac{6}{5} \right) + \left(\displaystyle \frac{-4}{3} \times \frac{8}{7} \right)$$

Find the multiplicative inverse of the following:
$$-13$$, $$\displaystyle-\frac{13}{19}$$ and $$-\displaystyle\frac{5}{8}\times\displaystyle-\frac{3}{7}$$

The multiplicative inverse of $$\displaystyle \left ( \frac{1}{3} \right )^{-2}$$ is

Choose the rational number which does not lie between rational numbers $$ \displaystyle \frac{3}{5} $$ and $$ \displaystyle \frac{2}{3} $$ :

Choose the rational number which does not lie between rational numbers $$\displaystyle\frac{3}{5}$$ and $$\displaystyle\frac{2}{3}$$

Write the multiplicative inverse of each of the following rational numbers:
$$7$$; $$-11$$; $$\displaystyle\frac{2}{5}$$; $$\displaystyle\frac{-7}{15}$$