Jammu and Kashmir Board Solutions for Chapter: Rational Numbers, Exercise 8: Exercise

Use the appropriate properties and solve.

 $\frac{2}{5}\times \left(\frac{-3}{7}\right)-\frac{1}{6}\times \frac{3}{2}+\frac{1}{14}\times \frac{2}{5}$

Name the property under multiplication used in the following:
$\frac{-13}{17}\times \frac{-2}{7}=\frac{-2}{7}\times \frac{-13}{17}$

Name the property under multiplication used in the following:

 $\frac{-19}{29}\times \frac{29}{-19}=1$ 

Tell what property allows you to compute $\frac{1}{3}\times \left(6\times \frac{4}{3}\right)$ as $\left(\frac{1}{3}\times 6\right)\times \frac{4}{3}$.

Write:
The rational numbers that are equal to their reciprocals.

The reciprocal of $–5$ is $k$, then $-5k=$_____.

The product of two rational numbers is always a _____ number.

The reciprocal of a positive rational number is _____. (positive/negative)