Gujarat BoardEnglish MediumSTD 8MATHSRational Numbers1 Mark
Question
The reciprocal of a negative rational number is _____.
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Answer
The reciprocal of a negative rational number is $\frac{\text{q}}{\text{p}}.$ Solution: The negative rational number is of the form $\frac{\text{p}}{\text{q}},$ where $\text{p}\in\text{I}^{+},\text{q}\in\text{I}^{-}$ or $\text{q}\in\text{I}^{+}$ Hence, the reciprocal is of the form $\frac{\text{q}}{\text{p}},$ where $\text{p}\in\text{I}^{+},\text{q}\in\text{I}^{-1}$ or $\text{p}\in\text{I}^{-},\text{q}\in\text{I}^{+}$
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