Question

Arrange the following in ascending order.
$0.1$, $0.07$, $0.03$, $0.02$

• A. $0.03<0.07<0.02<0.1$
• B. $0.02<0.07<0.03<0.1$
• C. $0.02<0.03<0.07<0.1$
• D. $0.02<0.03<0.1<0.07$

Answer 1

The correct option is C $0.02<0.03<0.07<0.1$

Frist, we convert the given decimals into like fractions with the denominator as $100$.

$0.1=0.10=\frac{10}{100}$

$0.07=\frac{7}{100}$

$0.03=\frac{3}{100}$

$0.02=\frac{2}{100}$

After comparing only the numerators we can write,
$\frac{2}{100}<\frac{3}{100}<\frac{7}{100}<\frac{10}{100}$.


$\therefore 0.02<0.03<0.07<0.1$