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Question
Which is greater among 2.3, 2.03, 2.33, 2.05?
(a) 2.3
(b) 2.03
(c) 2.33
(d) 2.05
(a) 2.3
(b) 2.03
(c) 2.33
(d) 2.05
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Solution
(c) 2.33
The whole parts of all the above numbers are equal. Comparing the tenth parts, we see that two of the decimals have a tenth part 0 and two have a tenth part 3. Leaving aside the decimals that have a tenth part 0, we have 2.3 and 2.33. Comparing them, we find that 2.33 is greater than 2.3, because, in 2.3, there is no hundredth part, but in 2.33, the hundredth part is 3.
The whole parts of all the above numbers are equal. Comparing the tenth parts, we see that two of the decimals have a tenth part 0 and two have a tenth part 3. Leaving aside the decimals that have a tenth part 0, we have 2.3 and 2.33. Comparing them, we find that 2.33 is greater than 2.3, because, in 2.3, there is no hundredth part, but in 2.33, the hundredth part is 3.
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