Question

Which of the following the is the correct order?

• A. 0.2 < 0.22 < 2.2 < 2.22
• B. 2.22 < 2.2 < 0.22 < 0.2
• C. 2.22 < 0.22 < 2.2 < 0.2
• D. 2.22 < 2.2 < 0.2 < 0.22

Answer 1

The correct option is A

0.2 < 0.22 < 2.2 < 2.22

To compare decimals, it's easier to write them in fractional form with like denominators and then compare the numerators.
Therefore 0.2, 0.22, 2.2 and 2.22 can be written as $\frac{20}{100}$, $\frac{22}{100}$, $\frac{220}{100}$ and $\frac{222}{100}$ respectively.
Comparing the numerators,
$\Rightarrow$ 20 < 22 < 220 < 222
Hence the correct order is 0.2 < 0.22 < 2.2 < 2.22