# Decimal Subtraction

## Subtract decimals by lining up the decimal points.

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Decimal Subtraction

#### Example 2

Subtract the decimals.

12.5 - 10.38 = _____

First, add a zero to the 12.5 so that both numbers have the same number of places.

\begin{align*}12.5\end{align*}

Next, line up the numbers vertically.

\begin{align*} 12.50\\ \underline {- 10.38}\end{align*}

Then, subtract the numbers.

\begin{align*}2.12\end{align*}

#### Example 3

Subtract the decimals.

16 - 12.22 = _____

First, add zeros to the 16 so that both numbers have the same number of places.

\begin{align*}16.00\end{align*}

Next, line up the numbers vertically.

\begin{align*} 16.00\\ \underline {- 12.22}\end{align*}

Then, subtract the numbers

\begin{align*}3.78\end{align*}

#### Example 4

Subtract the decimals.

18.86 - 13.45 = _____

First, line up the numbers vertically.

\begin{align*} 18.86\\ \underline {- 13.45}\end{align*}

Then, subtract the numbers.

\begin{align*}5.41\end{align*}

#### Example 5

Subtract the decimals.

19.2 - 13.211 = _____

First, add zeros to the 19.2 so that both numbers have the same number of places.

\begin{align*}19.200\end{align*}

Next, line up the numbers vertically.

\begin{align*} 19.200\\ \underline {- 13.211}\end{align*}

Then, subtract the numbers.

\begin{align*}5.989\end{align*}

### Review

Subtract the following decimals.

1. 17.65 - 4 = _____
2. 18.97 - 3.4 = _____
3. 22.50 - .78 = _____
4. 27.99 - 1.99 = _____
5. 33.11 - 3.4 = _____
6. 44.59 - 11.34 = _____
7. 78.89 - 5 = _____
8. 222.56 - 11.2 = _____
9. 567.09 - 23.4 = _____
10. 657.80 - 3.04 = _____
11. 345.01 - 123.90 = _____
12. 567.08 - 111.89 = _____
13. 378.99 - 345.12 = _____
14. 786.01 - 123.10 = _____
15. 504.32 - 345.89 = _____

To see the Review answers, open this PDF file and look for section 3.18.

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Color Highlighted Text Notes

### Vocabulary Language: English

TermDefinition
Decimal In common use, a decimal refers to part of a whole number. The numbers to the left of a decimal point represent whole numbers, and each number to the right of a decimal point represents a fractional part of a power of one-tenth. For instance: The decimal value 1.24 indicates 1 whole unit, 2 tenths, and 4 hundredths (commonly described as 24 hundredths).
Decimal point A decimal point is a period that separates the complete units from the fractional parts in a decimal number.
Difference The result of a subtraction operation is called a difference.
Magnitude The magnitude of a number is the size of a number without respect to its sign. The number -35.6 has a magnitude of 35.6.
Place Value The value of given a digit in a multi-digit number that is indicated by the place or position of the digit.
Sum The sum is the result after two or more amounts have been added together.