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Question

Which of the following is true?

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 two decimal numbers, we first compare the whole number parts.
Since 0 < 2, any decimal number with whole number part 0 will be less than the one with whole number part 2.

Now, considering the digits to the right of the decimal point, we note that 0.2 has 2 tenths and zero hundredths, whereas 0.22 has 2 tenths and 2 hundredths. Thus, 0.2 < 0.22.
Thus, we have 0.2 < 0.22 < 2.2 < 2.22.

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