Arrange following decimals in ascending order:
0.42, 0.27, 0.68, 0.15 
This proceeds in the following steps:
In the given series whole number part of all the decimals are same, so will compare digits at tenths place and arrange them in the ascending order in the following steps:
Step 1: We start with comparing the digits at tenths place and decimal with the smallest digit at tenths place is to be written at first place in the order, we get:
1 is the smallest digit at tenths place of decimal 0.15 from the given series, so it is written in the first place of ascending order.
Ascending Order Series = 0.15
Step 2: Then we find a decimal whose digit at tenths place is larger than the digit at tenths place of decimal selected earlier in step 1, but smaller than digit at tenths place of remaining decimals and we get:
2 is the digits at tenths place of decimal 0.27
It is larger than the 1, which is the digit at tenths place of decimal 0.15, but smaller than digit at tenths place of remaining decimals
So 0.27 is written next to decimals 0.15 in the ascending order and we get series:
Ascending Order Series = 0.15, 0.27
Step 3: Then we find a decimal whose digit at tenths place is larger than the digit at tenths place of decimal selected earlier in step 2, but smaller than digit at tenths place of remaining decimals and we get:
4 is the digits at tenths place of decimal 0.42
It is larger than the 2, which is the digit at tenths place of decimal 0.27, but smaller than digits at tenths place of remaining decimals.
So 0.42 is written next to decimals 0.27 in the ascending order and we get series:
Ascending Order Series = 0.15, 0.27, 0.42
Step 4: Lastly, we are left with only one decimal, whose digit at tenths place is the largest among digits at tenths place of all the given decimals and it would be written at the last place of the order:
Since, decimal 0.68, whose digit at tenths place is 6 and the largest among digits at tenths place of all the given decimals, so 0.68 would be written at the last place of the ascending order and we get complete series:
Ascending Order Series = 0.15, 0.27, 0.42, 0.68

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