3-3 I WILL… Divide Decimals!!! Warm Up Divide ÷ ÷ ÷ (–2) ÷ 21
3-3 I WILL… Divide Decimals!!! Warm Up Divide ÷ ÷ ÷ (–2) ÷ – ANSWERS
3-3 I WILL… Divide Decimals!!! Divide. Estimate to check whether each answer is reasonable ÷ –9.72 ÷ ÷ ÷ Jordan used gallons of gas to drive his van miles. How many miles did Jordan get per gallon? What are we doing today?
3-3 I WILL… Divide Decimals!!! I will… Practice dividing decimals.
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 = ÷ 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.
3-3 I WILL… Divide Decimals!!! Divide. Example 1: Dividing Decimals by Decimals 8.28 ÷ 4.6 ) – 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 ÷ = 82.8 ÷ 46
3-3 I WILL… Divide Decimals!!! Practice Divide. 1a1a ÷ (–1.75) 1b1b ÷ 0.5 1c1c ÷ (–2.06)
3-3 I WILL… Divide Decimals!!! Divide. Estimate to check whether each answer is reasonable. Example 2: Dividing Integers by Decimals 4 ÷ ÷ 1.25 = 400 ÷ 125 Multiply both numbers by 100. ) Use zero as a placeholder. 3 – – Divide as with whole numbers. Estimate 4 ÷ 1 = 4 The answer is reasonable.. 2
3-3 I WILL… Divide Decimals!!! Practice Divide. 2a2a. –24 ÷ (–2.5) 2b2b. 6 ÷ c2c. –22 ÷ (–2.5)
3-3 I WILL… Divide Decimals!!! Eric paid $ 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 ÷ =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.
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?
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? ÷ 12.5 = 3500 ÷ 125 Multiply both numbers by 10. ) Divide as with whole numbers. 2 – – 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
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
3-3 I WILL… Divide Decimals!!! Lesson Quiz
3-3 I WILL… Divide Decimals!!! Divide. Estimate to check whether each answer is reasonable ÷ –9.72 ÷ ÷ ÷ Jordan used gallons of gas to drive his van miles. How many miles did Jordan get per gallon?
3-3 I WILL… Divide Decimals!!! Lesson Quiz ANSWERS Divide. Estimate to check whether each answer is reasonable ÷ –9.72 ÷ ÷ ÷ Jordan used gallons of gas to drive his van miles. How many miles did Jordan get per gallon? –3.6 1,
3-3 I WILL… Divide Decimals!!! Divide. Practice 1a ÷ (–1.75) ÷ (–1.75) =1848 ÷ 175Multiply both numbers by 100 to make the divisor an integer. ) Use zeros as placeholders Divide as with whole numbers. 1 – – – ÷ (–1.75) = – The signs are different.
3-3 I WILL… Divide Decimals!!! Practice 1b Divide ÷ 0.5 ) – 14 – ÷ –4 5 0 Multiply both numbers by 10 to make the divisor an integer. Divide as with whole numbers. = 64.5 ÷ 5
3-3 I WILL… Divide Decimals!!! Divide ÷ (–2.06) ÷ (–2.06) = 1648 ÷ (206) ) 1, – ÷ (–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.
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) ) – – Estimate –24 ÷ (–3) = 8 The answer is reasonable. Divide as with whole numbers.
3-3 I WILL… Divide Decimals!!! Divide. Estimate to check whether each answer is reasonable. Practice 2b 6 ÷ ÷ 1.25 = 600 ÷ 125 Multiply both numbers by 100. ) Use zero as a placeholder. 4 – – Divide as with whole numbers. Estimate 6 ÷ 1 = 6 The answer is reasonable.. 8
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) ) – – Estimate –21 ÷ (–3) = 7 The answer is reasonable. Divide as with whole numbers.