Verify the additive and multiplicative inverse property for the rational numbers $\frac{- 7}{17}$ and $\frac{17}{27} .$
$[2]$

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Solution

$\frac{- 7}{17} + \frac{7}{17} = \frac{- 7 + 7}{17} = 0 \frac{17}{27} + (\frac{- 17}{27}) = \frac{17 - 17}{27} = 0$
Additive inverse of rational numbers are verified.
$[1]$

$\frac{- 7}{17} \times \frac{17}{- 7} = \frac{- 7 \times 17}{17 \times - 7} = 1 \frac{17}{27} \times \frac{27}{17} = \frac{17 \times 27}{27 \times 17} = 1$ Multiplicative inverse of rational numbers are verified.
$[1]$

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