Big Ideas Math: Modeling Real Life, Grade 6
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4. Adding and Subtracting Decimals
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Exercise 15 Page 71

How can you use a place value chart to subtract decimals?

0.6457

Practice makes perfect

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.