Question
For the pair of rational numbers, given below, verify that the multiplication is commutative. $\frac{-1}{5} \text { and } \frac{2}{9}$
✓
Answer
$=\frac{-1}{5} \times \frac{2}{9}=\frac{(-1) \times 2}{5 \times 9}=\frac{-2}{45}
$And, $\frac{2}{9} \times\left(\frac{-1}{5}\right)=\frac{2 \times(-1)}{9 \times 5}=\frac{-2}{45}$
$\therefore \frac{-1}{5} \times \frac{2}{9}=\frac{2}{9} \times \frac{-1}{5}$
$And, $\frac{2}{9} \times\left(\frac{-1}{5}\right)=\frac{2 \times(-1)}{9 \times 5}=\frac{-2}{45}$
$\therefore \frac{-1}{5} \times \frac{2}{9}=\frac{2}{9} \times \frac{-1}{5}$
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