Mathematics
Arrange the following decimal numbers in ascending order:
(i) 123.8, 74.205, 74.209, 7.4209
(ii) 85.01, 85.1, 85.001, 85.103
Decimals
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Answer
(i) The maximum number of decimal places in the given decimals is 4. So, we convert each of the given decimals into like decimals having four decimal places by annexing zeros.
The decimals are: 123.8000, 74.2050, 74.2090, 7.4209
Clearly, 7.4209 < 74.2050 < 74.2090 < 123.8000.
Hence, the given decimals in ascending order are:
7.4209 < 74.205 < 74.209 < 123.8
(ii) The maximum number of decimal places in the given decimals is 3. So, we convert each of the given decimals into like decimals having three decimal places by annexing zeros.
The decimals are: 85.010, 85.100, 85.001, 85.103
Clearly, 85.001 < 85.010 < 85.100 < 85.103.
Hence, the given decimals in ascending order are:
85.001 < 85.01 < 85.1 < 85.103
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