Abhishek Chauhan and Vivek Singhal Solutions for Chapter: Rational Numbers, Exercise 4: Chapter Test

Verify the property $x\times (y+z)=x\times y+x\times z$ of rational numbers by taking $x=\frac{-1}{5}, y=\frac{2}{15}, z=\frac{-3}{10}$.

Use the distributivity of multiplication of rational numbers over addition to simplify $\frac{3}{5}\times \left[\frac{35}{24}+\frac{10}{1}\right]$.

Using the distributive law of multiplication of rational numbers over addition, if $\frac{-5}{4}\times \left[\frac{8}{5}+\frac{16}{15}\right]=\frac{k}{3}$, find the value of $k$.

Use the distributivity of multiplication of rational numbers to simplify $\frac{2}{7}\times \left[\frac{7}{16}-\frac{21}{4}\right]$

Use the distributivity of multiplication of rational numbers over addition to simplify, $\frac{3}{4}\times \left[\frac{8}{9}-40\right]$.

A train is moving at an average speed of $22\frac{12}{4} \mathrm{km}/\mathrm{hr}$. How much distance will it cover in $4\frac{3}{2} \mathrm{hr}$?

What should be subtracted from $-\frac{2}{3}$ to get $\frac{5}{12}$ ?

Simplify the expression $\frac{5}{4}+\frac{-3}{8}+\frac{1}{2}-\frac{7}{4}$.