Skill: Subtract decimals to hundredths

Explanation and Free Practice Resources

This understanding involves finding differences between numbers expressed to the hundredths place, including cases requiring regrouping across ones, tenths, and hundredths. Learners align place values by decimal point, interpret a tenth as 10 hundredths, and use place-value models or number lines to reason about the result rather than subtracting digits independently; the scope excludes thousandths and more advanced decimal subtraction.

Detailed Explanation: Subtract decimals to hundredths

Line up the decimal points so that the ones, tenths, and hundredths are in the same columns.

Example:

5.00−2.685.00-2.68

Write the numbers in columns:

  5.00
- 2.68

Start subtracting from the hundredths place. We cannot subtract 88 hundredths from 00 hundredths, so we need to regroup.

  • Regroup 11 one from the 55 ones. This leaves 44 ones and gives 1010 tenths.
  • Regroup 11 of those tenths as 1010 hundredths. Now there are 99 tenths and 1010 hundredths.

So, 5.005.00 is now represented as 44 ones, 99 tenths, and 1010 hundredths:

  4  9 10
  5.00
- 2.68

Now subtract each place:

  • Hundredths: 10−8=210-8=2
  • Tenths: 9−6=39-6=3
  • Ones: 4−2=24-2=2

Therefore,

5.00−2.68=2.325.00-2.68=2.32

The answer is 2.32\boxed{2.32}.

Learn by doing: Subtract decimals to hundredths

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Subtraction - Decimal Hundredths (Column)


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