# Verify Commutativty of Addition of Rational Numbers for Each of the Following Pairs of Rotional Numbers: − 4 and 4 − 7 - Mathematics

Sum

Verify commutativty of addition of rational numbers for each of the following pairs of rotional numbers:

$- 4\ \text{and} \frac{4}{- 7}$

#### Solution

$\text{We have - 4 and} \frac{4}{- 7} .$
$\therefore \frac{- 4}{1} + \frac{- 4}{7} = \frac{- 4 \times 7}{1 \times 7} + \frac{- 4}{7} = \frac{- 28 - 4}{7} = \frac{- 32}{7}$
$\frac{- 4}{7} + \frac{- 4}{1} = \frac{- 4}{7} + \frac{- 4 \times 7}{1 \times 7} = \frac{- 4 - 28}{7} = \frac{- 32}{7}$
$\therefore - 4 + \frac{4}{- 7} = \frac{4}{- 7} - 4$
$\text{Hence verified} .$

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 1 Rational Numbers
Exercise 1.2 | Q 1.6 | Page 14