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Question

# Which of the following the is the correct order?

A

0.2 < 0.22 < 2.2 < 2.22

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B

2.22 < 2.2 < 0.22 < 0.2

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C

2.22 < 0.22 < 2.2 < 0.2

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D

2.22 < 2.2 < 0.2 < 0.22

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Solution

## 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 20100, 22100, 220100 and 222100 respectively. Comparing the numerators, ⇒ 20 < 22 < 220 < 222 Hence the correct order is 0.2 < 0.22 < 2.2 < 2.22

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