1. Do Now Divide. 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

2. 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 using rational numbers

3. Divide. Additional Example 1A: Dividing Decimals by Decimals 8.28 ÷ 4.6 ) 82.8 46 1. 46 – 36 8 –36 8 0 8.28 ÷ 4.6 8 = 82.8 ÷ 46 Course 2 3-5 Dividing Decimals and Integers by Decimals

4. Divide. Additional Example 1B: Dividing Decimals by Decimals 18.48 ÷ (–1.75) 18.48 ÷ (–1.75) =1848 ÷ 175 ) 175 1848. 00 1 –175 98 0 0.5 –87 5 10 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

5. Check It Out: Example 1A Divide. Insert Lesson Title Here 6.45 ÷ 0.5 ) 64.5 5 1 5 – 14 –10 6.45 ÷ 0.5 2 4 5. 9 –4 5 0 = 64.5 ÷ 5 Course 2 3-5 Dividing Decimals and Integers by Decimals

6. Divide. 16.48 ÷ (–2.06) 16.48 ÷ (–2.06) = 1648 ÷ (206) ) 1,648 206 8 –1 648 16.48 ÷ (–2.06) = –8 0 Check It Out: Example 1B Course 2 3-5 Dividing Decimals and Integers by Decimals

7. Divide. Additional Example 2A: Dividing Integers by Decimals 4 ÷ 1.25 4.00 ÷ 1.25 = 400 ÷ 125 ) 125 400.0.0 3 –375 25 0 –25 0 0 Estimate 4 ÷ 1 = 4. 2 Course 2 3-5 Dividing Decimals and Integers by Decimals

8. Divide. Additional Example 2B: Dividing Integers by Decimals –24 ÷ (–2.5) –24.0 ÷ (–2.5) = –240 ÷ (–25) ) 25 240 9 – 225 15.. 0 0 6 – 15 0 0 Estimate –24 ÷ (–3) = 8 Course 2 3-5 Dividing Decimals and Integers by Decimals

9. Divide. Check It Out: Example 2A 6 ÷ 1.25 6.00 ÷ 1.25 = 600 ÷ 125 ) 125 600.0.0 4 –500 100 0 –100 0 0 Estimate 6 ÷ 1 = 6. 8 Course 2 3-5 Dividing Decimals and Integers by Decimals

10. Divide. Check It Out: Example 2B –22 ÷ (–2.5) –22.0 ÷ (–2.5) = –220 ÷ (–25) ) 25 220 8 –200 20.. 0 0 8 –20 0 0 Estimate –21 ÷ (–3) = 7 Course 2 3-5 Dividing Decimals and Integers by Decimals

11. 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 22,975 7 –22,975 0 Eric rented the car for 7 days. Course 2 3-5 Dividing Decimals and Integers by Decimals

12. 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 3500 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 Course 2 3-5 Dividing Decimals and Integers by Decimals

13. 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

14. You have two choices A: start on your homework quietly B: open textbook to page 172 and start working.