Arranging decimals in ascending order means that arranging decimals in increasing order i.e. we start with the smallest decimals and then next larger decimal but & so on; till we reach the largest decimal which is written at the last place.

Follow the following steps for arranging decimals in ascending order:

Step 1: We start with comparing the Whole Number Part of Decimals and decimal with the smallest whole number part is to be written at first place in the order.

Step 2: Then we find a decimal whose whole number part is larger than the whole number part of decimals selected earlier in step 1, but smaller than whole number part of remaining decimals.

Step 3: And then we find a decimal whose whole number part is larger than the whole number part of decimals selected earlier in step 2, but smaller than whole number part of remaining decimals.

These Steps are repeated in similar ways till we are left with only one decimal, whose whole number part is the largest among whole number parts of all the given decimals and it would be written at the last place of the order.

Example - Let’s try arranging the following series of decimals in ascending order: 181.98, 64.78, 345.75, 9.72, 0.05, 1.8

Solution: This proceeds in the following steps:

Step 1: We start with comparing the Whole Number Part of Decimals and decimal with the smallest whole number part is to be written at first place in the order, we get:
0 is the smallest whole number part of decimal 0.05 from the given series, so it is written at the first place of ascending order.

Ascending Order Series = 0.05

Step 2: Then we find a decimal whose whole number part is larger than the whole number part of decimal selected earlier in step 1, but smaller than whole number part of remaining decimals and we get:
1 is the whole number part of decimal 1.8

It is larger than the 0, which is the whole number part of decimal 0.05, but smaller than whole number part of remaining decimals.

So 1.8 is written next to decimals 0.05 in the ascending order and we get series:

Ascending Order Series = 0.05, 1.8

Step 3: And then we find a decimal whose whole number part is larger than the whole number part of decimal selected earlier in step 2, but smaller than whole number part of remaining decimals and we get:

9 is the whole number part of decimal 9.72

It is larger than the 1, which is the whole number part of decimal 1.8, but smaller than whole number part of remaining decimals.

So 9.72 is written next to 1.8 in the ascending order and we get series:

Ascending Order Series = 0.05, 1.8, 9.72

Step 4: And then we find a decimal whose whole number part is larger than the whole number part of decimal selected earlier in step 3, but smaller than whole number part of remaining decimals and we get:
64 is the whole number part of decimal 64.78

It is larger than the 9, which is the whole number part of decimal 9.72, but smaller than whole number part of remaining decimals.

So 64.78 is written next to 9.72 in the ascending order and we get series:

Ascending Order Series = 0.05, 1.8, 9.72, 64.78

Step 5: And then we find a decimal whose whole number part is larger than the whole number part of decimal selected earlier in step 4, but smaller than whole number part of remaining decimals and we get:
181 is the whole number part of decimal 181.98

It is larger than the 64, which is the whole number part of decimal 64.78, but smaller than whole number part of remaining decimals.

So 181.98 is written next to 64.78 in the ascending order and we get series:

Ascending Order Series = 0.05, 1.8, 9.72, 64.78, 181.98

Step 6: Lastly, we are left with only one decimal, whose whole number part is the largest among whole number parts of all the given decimals and it would be written in the last place of the order:

Since decimal 345.75, whose whole number part is 345 and the largest among whole numbers part of all the given decimals, so 345.75 would be written at the last place of the ascending order and we get complete series:

Ascending Order Series = 0.05, 1.8, 9.72, 64.78, 181.98, 345.75