4. Adding and Subtracting Decimals
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How can you use a place value chart to subtract decimals?
0.6457
We want to use a place value chart to find the given difference. 3.6257-2.98 Let's fill in the chart!
| Place Value Chart | |||||
|---|---|---|---|---|---|
| Ones | And | Tenths | Hundredths | Thousandths | Ten Thousandths |
| 3 | . | 6 | 2 | 5 | 7 |
| 2 | . | 9 | 8 | ||
We will subtract the numbers going from right to left. The second number does not have a thousandths or ten thousandths place value, so we can treat them as 0. Let's subtract!
| Place Value Chart | |||||
|---|---|---|---|---|---|
| Ones | And | Tenths | Hundredths | Thousandths | Ten Thousandths |
| 3 | . | 6 | 2 | 5 | 7 |
| 2 | . | 9 | 8 | 0 | 0 |
| 5- 0= 5 | 7- 0= 7 | ||||
For the hundredths place value, we cannot subtract 8 from 2. We need to carry 1 from the tenths place value to change the 2 into 12.
| Place Value Chart | |||||
|---|---|---|---|---|---|
| Ones | And | Tenths | Hundredths | Thousandths | Ten Thousandths |
| 3 | . | 6 5 | 12 | 5 | 7 |
| 2 | . | 9 | 8 | ||
| 12-8= 4 | 5 | 7 | |||
Next, we will carry a 1 from the ones place value to change the 5 into 15.
| Place Value Chart | |||||
|---|---|---|---|---|---|
| Ones | And | Tenths | Hundredths | Thousandths | Ten Thousandths |
| 3 2 | . | 6 15 | 12 | 5 | 7 |
| 2 | . | 9 | 8 | ||
| 15-9= 6 | 4 | 5 | 7 | ||
Finally, we can subtract the ones and bring down the decimal point.
| Place Value Chart | |||||
|---|---|---|---|---|---|
| Ones | And | Tenths | Hundredths | Thousandths | Ten Thousandths |
| 3 2 | . | 6 15 | 12 | 5 | 7 |
| 2 | . | 9 | 8 | ||
| 2-2= 0 | . | 6 | 4 | 5 | 7 |
The difference is 0.6457.