Question

Write the following ascending order.
$0.3$, $0.05$, $0.03$, $0.1$

• A. $0.03<0.05<0.3<0.1$
• B. $0.03<0.05<0.1<0.3$
• C. $0.05<0.03<0.1<0.3$
• D. $0.03<0.05<0.3<0.1$

Answer 1

The correct option is B $0.03<0.05<0.1<0.3$

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

$0.3=0.30=\frac{30}{100}$

$0.05=\frac{5}{100}$

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

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

After comparing only the numerators we can write,

$\frac{3}{100}<\frac{5}{100}<\frac{10}{100}<\frac{30}{100}$.

$\therefore 0.03<0.05<0.1<0.3$