NCERT Solutions for Chapter: Rational Numbers, Exercise 1: Exercise

The multiplicative inverse of $\left(x+1\right)+\frac{1}{\left(x-1\right)}$ is _____

Which property of multiplication is not involved in the following:

$32\times \frac{1}{4}=\left(8\times 4\right)\times \frac{1}{4}=8\times \left(4\times \frac{1}{4}\right)=8\times 1=8$

If $\frac{1}{3}$ of a number exceeds its $\frac{2}{7}$ by $1$, find the number.

$x÷\left(y+z\right)=x÷y+x÷z$

What number should be added to $\frac{-3}{4}$ to get $\frac{+7}{6}$?

Find the multiplicative inverse, i.e., the reciprocal of $\frac{4}{5}\times \frac{15}{8}$.

If a triangle has a base of $10\frac{3}{4}\mathrm{cm}$ and a height of $15\frac{3}{4}\mathrm{cm}$, what is its area?

The property of rational numbers illustrated by the mathematical expression.

$\left(\frac{2}{7}+\frac{-3}{8}\right)\times \frac{5}{11}=\left(\frac{2}{7}\times \frac{5}{11}\right)+\left(\frac{-3}{8}\times \frac{5}{11}\right)$ is