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Big Ideas Math: Modeling Real Life, Grade 6

BI

Big Ideas Math: Modeling Real Life, Grade 6 View details

4. Adding and Subtracting Decimals

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Exercise 16 Page 71

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

27.9192

Practice makes perfect

We want to use a place value chart to find the given sum. 14.065+13.8542 Let's fill in the chart!

Place Value Chart
Tens	Ones	And	Tenths	Hundredths	Thousandths	Ten Thousandths
1	4	.	0	6	5
1	3	.	8	5	4	2

We will add the numbers going from right to left. The first number does not have a ten thousandths place value, so we can treat it as 0. Let's add!

Place Value Chart
Tens	Ones	And	Tenths	Hundredths	Thousandths	Ten Thousandths
1	4	.	0	6	5	0
1	3	.	8	5	4	2
						0+2= 2

Now we can add the thousandths.

Place Value Chart
Tens	Ones	And	Tenths	Hundredths	Thousandths	Ten Thousandths
1	4	.	0	6	5
1	3	.	8	5	4	2
					5+4= 9	2

Next we add the hundredths. The answer is not a single digit, so we split it up and carry the 1 to the next place value.

Place Value Chart
Tens	Ones	And	Tenths + 1	Hundredths	Thousandths	Ten Thousandths
1	4	.	0	6	5
1	3	.	8	5	4	2
				6+5= 1 1	9	2

Now we can add the tenths.

Place Value Chart
Tens	Ones	And	Tenths + 1	Hundredths	Thousandths	Ten Thousandths
1	4	.	0	6	5
1	3	.	8	5	4	2
			1+0+8= 9	1	9	2

We will add the ones next.

Place Value Chart
Tens	Ones	And	Tenths + 1	Hundredths	Thousandths	Ten Thousandths
1	4	.	0	6	5
1	3	.	8	5	4	2
	4+3= 7		9	1	9	2

Finally, we add the tens and place the decimal point.

Place Value Chart
Tens	Ones	And	Tenths + 1	Hundredths	Thousandths	Ten Thousandths
1	4	.	0	6	5
1	3	.	8	5	4	2
1+1= 2	7	.	9	1	9	2

The sum is 27.9192.

Subchapter links

Try It p.68-69

Self-Assessment for Concepts & Skills p.69

Self-Assessment for Problem Solving p.70

Review & Refresh p.71

Concepts, Skills, & Problem Solving p.71-72