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Rational Numbers — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsRational Numbers1 Mark
Question
Write ‘T’ for true and ‘F’ for false for the following:
Subtraction is commutative on rational numbers.
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Answer

False.Solution:
Let $\frac{\text{a}}{\text{b}}$ and $\frac{\text{c}}{\text{d}}$ represent rational numbers.
Now, we have:$\frac{\text{a}}{\text{b}}-\frac{\text{c}}{\text{d}}=\frac{\text{ad}-\text{bc}}{\text{bd}}$
$\frac{\text{c}}{\text{d}}-\frac{\text{a}}{\text{b}}=\frac{\text{bc}-\text{ad}}{\text{bd}}$
$\therefore\frac{\text{a}}{\text{b}}-\frac{\text{c}}{\text{d}}\neq\frac{\text{c}}{\text{d}}-\frac{\text{a}}{\text{b}}$

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