Question
Evaluate: $(0.3) \times (0.3) - (0.2) \times (0.2)$

Answer

Given, $(0.3) \times (0.3) - (0.2) \times (0.2)$
$\because0.3=\frac{3}{10}\text{ and }0.2=\frac{2}{10}$
$\therefore\big(\frac{3}{10}\times\frac{3}{10}\big)-\big(\frac{2}{10}\times\frac{2}{10}\big)$
$=\frac{9}{100}-\frac{4}{100}=\frac{9-4}{100} [$taking $LCM]$
$=\frac{5}{100}=0.05$

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