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Verify Commutativty of Addition of Rational Numbers for Each of the Following Pairs of Rotional Numbers: 2 − 7 and 12 − 35 - Mathematics

Sum

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

\[\frac{2}{- 7} \text{and} \frac{12}{- 35}\]
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Solution

\[\text{We have}\frac{2}{- 7} \text{and} \frac{12}{- 35} . \]
\[ \therefore \frac{- 2}{7} + \frac{- 12}{35} = \frac{- 2 \times 5}{7 \times 5} + \frac{- 12}{35} = \frac{- 10 - 12}{35} = \frac{- 22}{35}\]
\[\frac{12}{- 35} + \frac{2}{- 7} = \frac{- 12}{35} + \frac{- 2 \times 5}{7 \times 5} = \frac{- 12 - 10}{35} = \frac{- 22}{35}\]
\[ \therefore \frac{2}{- 7} + \frac{12}{- 35} = \frac{12}{- 35} + \frac{2}{- 7}\]
\[\text{Hence verified} . \]

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 1 Rational Numbers
Exercise 1.2 | Q 1.4 | Page 14
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