Ex.1.1 Q2 Rational Numbers Solution - NCERT Maths Class 8

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Question

Write the additive inverse of each of the following

(i)  \(\begin{align}\frac{2}{8}\end{align}\)

(ii)\(\begin{align}\frac{{ - 5}}{9}\end{align}\)

(iii)\(\begin{align}\frac{{ - 6}}{{ - 5}}\end{align}\)

(iv)\(\begin{align}\frac{2}{{ - 9}}\end{align}\)

(v) \(\begin{align}\frac{{19}}{{ - 6}}\end{align}\)

 Video Solution
Rational Numbers
Ex 1.1 | Question 2

Text Solution

What is known?

Rational numbers

What is unknown?

Additive inverse.

Reasoning:

The negative of a rational number is called additive inverse.

Steps:

(i) \(\begin{align}\quad\frac{2}{8}\end{align}\)

Additive inverse of \(\begin{align}\frac{2}{8}\end{align}\) is

\(\begin{align} - \left( {\frac{2}{8}} \right) = - \frac{2}{8}\end{align}\)

(ii) \(\begin{align}\quad\frac{{ - 5}}{9}\end{align}\)

Additive inverse of \(\begin{align}\frac{{ - 5}}{9}\end{align}\) is

\(\begin{align} - \left( {\frac{{ - 5}}{9}} \right) = \frac{5}{9}\end{align}\)

(iii) \(\begin{align}\quad\frac{{ - 6}}{{ - 5}}\end{align}\)

The rational number is \(\begin{align}\frac{{ - 6}}{{ - 5}} = \frac{6}{5}\end{align}\)

Additive inverse of \(\begin{align}\frac{{ - 6}}{{ - 5}}\end{align}\) is

\(\begin{align} - \left( {\frac{6}{5}} \right) = - \frac{6}{5}\end{align}\)

(iv) \(\begin{align}\;\frac{2}{{ - 9}}\end{align}\)

Additive inverse of \(\begin{align}\;\frac{2}{{ - 9}}\end{align}\) is

\(\begin{align} - \left( {\frac{2}{{ - 9}}} \right) = \frac{2}{9}\end{align}\)

(v) \(\begin{align}\,\frac{{19}}{{ - 6}}\end{align}\)

Additive inverse of \(\begin{align}\frac{{19}}{{ - 6}}\end{align}\) is

\(\begin{align} - \left( {\frac{{19}}{{ - 6}}} \right) = \frac{{19}}{6}\end{align}\)