Madhya Pradesh Board Solutions for Chapter: Rational Numbers, Exercise 2: EXERCISE

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 $-5k=$ _____.

Reciprocal of $\frac{1}{x}$, where $x\ne 0$ is _____.

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

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