1. 3-3 I WILL… Divide Decimals!!! Warm Up Divide. 1. 24.5 ÷ 7 2. 50.4 ÷ 6 3. 19.2 ÷ (–2) 4. 128.1 ÷ 21

2. 3-3 I WILL… Divide Decimals!!! Warm Up Divide. 1. 24.5 ÷ 7 2. 50.4 ÷ 6 3. 19.2 ÷ (–2) 4. 128.1 ÷ 21 3.5 8.4 –9.6 6.1 ANSWERS

3. 3-3 I WILL… Divide Decimals!!! 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? What are we doing today?

4. 3-3 I WILL… Divide Decimals!!! I will… Practice dividing decimals.

5. 3-3 I WILL… Divide Decimals!!! When you divide two numbers, you can multiply both numbers by the same power of ten without changing the final answer. Multiply both 0.6 and 0.3 by 10: 0.6 · 10 = 6and0.3 · 10 = 3 0.6 ÷ 0.3 = 2 and6 ÷ 3 = 2 By multiplying both numbers by the same power of ten, you can make the divisor an integer. Dividing by an integer is much easier than dividing by a decimal.

6. 3-3 I WILL… Divide Decimals!!! Divide. Example 1: Dividing Decimals by Decimals 8.28 ÷ 4.6 ) 82.8 46 1. 46 – 36 8 –36 8 Multiply both numbers by 10 to make the divisor an integer. Divide as with whole numbers. 0 Multiply both numbers by the least power of ten that will make the divisor an integer. Helpful Hint 8.28 ÷ 4.6 8 = 82.8 ÷ 46

7. 3-3 I WILL… Divide Decimals!!! Practice Divide. 1a1a. 18.48 ÷ (–1.75) 1b1b. 6.45 ÷ 0.5 1c1c. 16.48 ÷ (–2.06)

8. 3-3 I WILL… Divide Decimals!!! Divide. Estimate to check whether each answer is reasonable. Example 2: Dividing Integers by Decimals 4 ÷ 1.25 4.00 ÷ 1.25 = 400 ÷ 125 Multiply both numbers by 100. ) 125 400.0.0 Use zero as a placeholder. 3 –375 25 0 –25 0 0 Divide as with whole numbers. Estimate 4 ÷ 1 = 4 The answer is reasonable.. 2

9. 3-3 I WILL… Divide Decimals!!! Practice Divide. 2a2a. –24 ÷ (–2.5) 2b2b. 6 ÷ 1.25 2c2c. –22 ÷ (–2.5)

10. 3-3 I WILL… Divide 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? Example 3: Transportation Application 229.25 ÷ 32.75 =22,925 ÷ 3,275Multiply both numbers by 100. ) 3,275 22,975 Divide as with whole numbers. 7 –22,975 0 Eric rented the car for 7 days.

11. 3-3 I WILL… Divide Decimals!!! Practice 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?

12. 3-3 I WILL… Divide Decimals!!! Practice 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? 350.0 ÷ 12.5 = 3500 ÷ 125 Multiply both numbers by 10. ) 125 3500 Divide as with whole numbers. 2 –250 100 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

13. 3-3 I WILL… Divide Decimals!!! Problem of the Day Place 20 pennies in a row on a table. Replace every fourth coin with a nickel. Now replace every third coin with a dime. Then replace every sixth coin with a quarter. What is the value of the 20 coins now on the table? $1.35

14. 3-3 I WILL… Divide Decimals!!! Lesson Quiz

15. 3-3 I WILL… Divide Decimals!!! 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?

16. 3-3 I WILL… Divide Decimals!!! Lesson Quiz ANSWERS 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 11.8 6 18

17. 3-3 I WILL… Divide Decimals!!! Divide. Practice 1a 18.48 ÷ (–1.75) 18.48 ÷ (–1.75) =1848 ÷ 175Multiply both numbers by 100 to make the divisor an integer. ) 175 1848. 00 Use zeros as placeholders Divide as with whole numbers. 1 –175 98 0 0.5 –87 5 10 50 –10 50 0 18.48 ÷ (–1.75) = –10.56 6 The signs are different.

18. 3-3 I WILL… Divide Decimals!!! Practice 1b Divide. 6.45 ÷ 0.5 ) 64.5 5 1 5 – 14 –10 6.45 ÷ 0.5 2 4 5. 9 –4 5 0 Multiply both numbers by 10 to make the divisor an integer. Divide as with whole numbers. = 64.5 ÷ 5

19. 3-3 I WILL… Divide Decimals!!! Divide. 16.48 ÷ (–2.06) 16.48 ÷ (–2.06) = 1648 ÷ (206) ) 1,648 206 8 –1 648 16.48 ÷ (–2.06) = –8 Multiply both numbers by 100 to make the divisor an integer. Divide as with whole numbers. 0 Practice 1c The signs are different.

20. 3-3 I WILL… Divide Decimals!!! Divide. Estimate to check whether each answer is Reasonable. Practice 2a –24 ÷ (–2.5) –24.0 ÷ (–2.5) = Multiply both numbers by 10. –240 ÷ (–25) ) 25 240 9 – 225 15.. 0 0 6 – 15 0 0 Estimate –24 ÷ (–3) = 8 The answer is reasonable. Divide as with whole numbers.

21. 3-3 I WILL… Divide Decimals!!! Divide. Estimate to check whether each answer is reasonable. Practice 2b 6 ÷ 1.25 6.00 ÷ 1.25 = 600 ÷ 125 Multiply both numbers by 100. ) 125 600.0.0 Use zero as a placeholder. 4 –500 100 0 –100 0 0 Divide as with whole numbers. Estimate 6 ÷ 1 = 6 The answer is reasonable.. 8

22. 3-3 I WILL… Divide Decimals!!! Divide. Estimate to check whether each answer is Reasonable. Practice 2c –22 ÷ (–2.5) –22.0 ÷ (–2.5) = Multiply both numbers by 10. –220 ÷ (–25) ) 25 220 8 –200 20.. 0 0 8 –20 0 0 Estimate –21 ÷ (–3) = 7 The answer is reasonable. Divide as with whole numbers.