Ordering Decimals

Maths: KS3, topic 1.1.2

Ordering Decimals

Learn how to order decimals by comparing place value columns from left to right.

Use place value columns

Use place value columns

  • Line up the decimal points

    • Compare the ones column first

    • If the ones digits are the same, compare the tenths column

    • If the tenths digits are the same, compare the hundredths column

  • This helps compare decimals one column at a time

Compare tenths

Compare tenths

  • If the ones digits are the same, compare the tenths digits

    • For example, 2.3 and 2.7 both have 2 ones

    • Compare 3 tenths and 7 tenths

    • So, 2.3 < 2.7

Compare hundredths

Compare hundredths

  • If the ones and tenths digits are the same, compare the hundredths digits

    • For example, 4.25 and 4.28 both have 4 ones and 2 tenths

    • Compare 5 hundredths and 8 hundredths

    • So, 4.25 < 4.28

Add zeros to compare

Add zeros to compare

  • Decimals can be written with extra zeros at the end without changing their value

    • For example, 3.4 = 3.40
  • This can make it easier to compare decimals with different numbers of decimal places

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