Do NowDivide.

1. 24.5 ÷ 7

2. 50.4 ÷ 6

3. 19.2 ÷ (–2)

4. 128.1 ÷ 21

3.5

8.4

–9.6

Course 2

3-5 Dividing Decimals and Integers by Decimals

6.1

Hwk: p 28

EQ How do I divide decimals and integers by decimals?

Course 2

3-5 Dividing Decimals and Integers by Decimals

M7N1.c Add, subtract, multiply, and divide positive and negative rational numbers; M7N1.d Solve problems usingrational numbers

Divide.

Additional Example 1A: Dividing Decimals by Decimals

8.28 ÷ 4.6

) 82.8461.

46–36 8

–36 8

0

8.28 ÷ 4.6

8

= 82.8 ÷ 46

Course 2

3-5 Dividing Decimals and Integers by Decimals

Divide.

Additional Example 1B: Dividing Decimals by Decimals

18.48 ÷ (–1.75)

18.48 ÷ (–1.75) = 1848 ÷ 175

)175 1848 . 001

–17598 0

0.5

–87 510 50

–10 50

0

18.48 ÷ (–1.75) = –10.56

6

The signs are different.

Course 2

3-5 Dividing Decimals and Integers by Decimals

Check It Out: Example 1A

Divide.

Insert Lesson Title Here

6.45 ÷ 0.5

) 64.5 51

5–14

–10

6.45 ÷ 0.5

2

4 5

.9

–4 50

= 64.5 ÷ 5

Course 2

3-5 Dividing Decimals and Integers by Decimals

Divide.

16.48 ÷ (–2.06)

16.48 ÷ (–2.06) = 1648 ÷ (206)

)1,6482068

–1 648

16.48 ÷ (–2.06) = –8

0

Check It Out: Example 1B

Course 2

3-5 Dividing Decimals and Integers by Decimals

Divide.

Additional Example 2A: Dividing Integers by Decimals

4 ÷ 1.25

4.00 ÷ 1.25 = 400 ÷ 125

)125 400 .03

–37525 0

–25 0

0Estimate4 ÷ 1 = 4

. 2

Course 2

3-5 Dividing Decimals and Integers by Decimals

Divide.

Additional Example 2B: Dividing Integers by Decimals

–24 ÷ (–2.5)

–24.0 ÷ (–2.5) = –240 ÷ (–25)

)25 2409

– 22515

.

.0

0

6

– 15 00

Estimate–24 ÷ (–3) = 8

Course 2

3-5 Dividing Decimals and Integers by Decimals

Divide.

Check It Out: Example 2A

6 ÷ 1.25

6.00 ÷ 1.25 = 600 ÷ 125

)125 600 .04

–500100 0

–100 00

Estimate6 ÷ 1 = 6

.8

Course 2

3-5 Dividing Decimals and Integers by Decimals

Divide.

Check It Out: Example 2B

–22 ÷ (–2.5)

–22.0 ÷ (–2.5) = –220 ÷ (–25)

)25 2208

–20020

.

.0

0

8

–20 00

Estimate–21 ÷ (–3) = 7

Course 2

3-5 Dividing Decimals and Integers by Decimals

Eric paid $229.25 to rent a car. The fee to rent the car was $32.75 per day. For how long did Eric rent the car?

Additional Example 3: Transportation Application

229.25 ÷ 32.75 = 22,925 ÷ 3,275

)3,275 22,9757

–22,9750

Eric rented the car for 7 days.

Course 2

3-5 Dividing Decimals and Integers by Decimals

Check It Out: Example 3

Jace took a trip in which he drove 350 miles. During the trip his truck used 12.5 gallons of gas. What was his truck’s gas mileage?

Insert Lesson Title Here

350.0 ÷ 12.5 = 3500 ÷ 125

)125 35002

–250100

8

0–1000

0

Jace’s truck’s gas mileage was 28 miles per gallon.

To calculate miles per gallon, divide the number of miles driven by the number of gallons of gas used.

Helpful Hint

Course 2

3-5 Dividing Decimals and Integers by Decimals

You Try

Divide. Estimate to check whether each answer is reasonable.

1. 78.2 ÷ 0.04

2. –9.72 ÷ 2.7

3. 18.88 ÷ 1.6

4. 19.5 ÷ 3.25

5. Jordan used 32.46 gallons of gas to drive his

van 584.28 miles. How many miles did Jordan get

per gallon?

–3.6

1,995

Insert Lesson Title Here

11.8

6

18

Course 2

3-5 Dividing Decimals and Integers by Decimals

You have two choicesA: start on your homework quietly B: open textbook to page 172 andstart working.