Order Decimals

Ordering decimals

Ordering decimals means comparing numbers written with decimal points and putting them in the correct sequence. The key is to compare place value carefully, not just the number of digits after the decimal point.

1) Line up the decimal points

If you can, rewrite the numbers so the decimal points are vertically aligned. This helps you compare ones, tenths, hundredths, and so on.

2) Compare from left to right

Start with the whole-number part.

• The number with the larger whole-number part is larger.
• If the whole-number parts are the same, compare the tenths.
• If those are the same, compare the hundredths, then thousandths, and continue as needed.

3) Use zeros when needed

A decimal like 3.5 is the same as 3.50 or 3.500. Adding zeros can make comparison easier without changing the value.

4) Write the final order

After comparing all the numbers, arrange them in the requested order: least to greatest or greatest to least.

Check your answer

Read the ordered list aloud and make sure each number is smaller than the next one, or larger if you are ordering in descending order. If two decimals look close, compare one place value at a time to avoid mistakes.