Rupesh Pathak and Vaishali Bhatia Solutions for Chapter: Rational Numbers, Exercise 3: Exercise 1.1

Write the rational numbers which are their own multiplicative inverse.

Write the rational number which is equal to its additive inverse.

Verify the fallowing and name the properties used

$\left[\left(\frac{-2}{3}\right)\times \left(\frac{-5}{6}\right)\right]\times \frac{1}{2}=\left(\frac{-2}{3}\right)\times \left[\left(\frac{-5}{6}\right)\times \frac{1}{2}\right]$.

Verify the fallowing and name the properties used

$\frac{7}{9}+\frac{10}{13}=\frac{10}{13}+\frac{7}{9}$.

Verify the fallowing and name the properties used

$\left[\left(\frac{-1}{5}\right)+\frac{1}{2}\right]+\frac{11}{15}=\left(\frac{-1}{5}\right)+\left[\frac{1}{2}+\frac{11}{15}\right]$.

Verify the fallowing and name the properties used

$\frac{16}{19}\times \left(\frac{-3}{4}\right)=\left(\frac{-3}{4}\right)\times \frac{16}{19}$.

Evaluate the following $\left(\frac{-3}{4}\right)\times \left(\frac{-5}{8}\right)\times \frac{7}{6}\times \frac{11}{15}$.

Evaluate the following $\frac{2}{3}\times \left(\frac{11}{7}\right)\times \left(\frac{-3}{4}\right)\times \left(\frac{-7}{5}\right)$.