Gujarat BoardEnglish MediumSTD 8MATHSRational Numbers1 Mark
Question
Division of rational numbers is associative.
$i.$ True
$ii.$ False
✓
Answer
Division of rational numbers is not associative.
For example,
$\frac{2}{5}\div\Big(\frac{1}{2}\div\frac{1}{4}\Big)=0.2$
$\Big(\frac{2}{5}\div\frac{1}{2}\Big)\div\frac{1}{4}=3.2$
Hence, $\frac{2}{5}\div\Big(\frac{1}{2}\div\frac{1}{4}\Big)\not=\Big(\frac{2}{5}\div\frac{1}{2}\Big)\div\frac{1}{4}$
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