Question 18

State whether the given statement is true (T) or false (F).

$0.2 : 5 = 2 : 0.5$

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Solution

Given, 0.2 : 5 = 2 : 0.5
$\frac{0.2}{5} = \frac{2}{50} o n m u l t i p l y i n g n u m e r a t o r a n d d e n o m i n a n t o r b y 10 \frac{2}{0.5} = \frac{20}{5} o n m u l t i p l y i n g n u m e r a t o r a n d d e n o m i n a n t o r b y 10$
$\frac{0.2}{5} \neq \frac{2}{0.5} \Rightarrow \frac{2}{50} \neq \frac{20}{5}$

The given ratios are not equal.

Hence, the given statement is false

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