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