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01/06/10 Divide Decimals #5

01/06/10 Divide Decimals #5. LT: I will divide decimals. Warm Up: 5×7 1×7 4 ×7. 9×7 7×10 7×8. 7×2 7×3 7×7. 7×6 7×100 7×11. Today’s Plan: -Multiplication Practice -Correct Homework -Divide Decimals. Learning Target:

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01/06/10 Divide Decimals #5

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  1. 01/06/10 Divide Decimals #5 LT: I will divide decimals. • Warm Up: • 5×7 • 1×7 • 4×7 • 9×7 • 7×10 • 7×8 • 7×2 • 7×3 • 7×7 • 7×6 • 7×100 • 7×11 Today’s Plan: -Multiplication Practice -Correct Homework -Divide Decimals Learning Target: -I will divide decimals.

  2. 01/06/10 Divide Decimals #5 LT: I will divide decimals. Timed Test tomorrow 1-7 Today’s Plan: -Multiplication Practice -Correct Homework -Divide Decimals Learning Target: -I will divide decimals.

  3. 01/06/10 Divide Decimals #5 LT: I will divide decimals. Correct Homework Today’s Plan: -Multiplication Practice -Correct Homework -Divide Decimals Learning Target: -I will divide decimals.

  4. Dividing Decimals and Integers by Decimals 4-5 Helpful Hint Multiply both numbers by the least power of ten that will make the divisor an integer. Course 2 Additional Example 1A: Dividing Decimals by Decimals Divide. A. 8.28 ÷ 4.6 Multiply both numbers by 10. 8.28 ÷ 4.6 = 82.8 ÷ 46 1. 8 ) 82.8 46 Divide as with whole numbers. 46 – 8 36 –36 8 0

  5. Dividing Decimals and Integers by Decimals 4-5 Course 2 Additional Example 1B: Dividing Decimals by Decimals Divide. B. 18.48 ÷ (–1.75) 18.48 ÷ (–1.75) = 1848 ÷ 175 Multiply both numbers by 100. 1 0 .5 6 Use zeros as placeholders ) . 00 175 1848 Divide as with whole numbers. –175 0 9 8 –87 5 10 50 –10 50 0 The signs are different. 18.48 ÷ (–1.75) = –10.56

  6. Dividing Decimals and Integers by Decimals 4-5 Course 2 Insert Lesson Title Here Try This: Example 1A Divide. A. 6.45 ÷ 0.5 6.45 ÷ 0.5 Multiply both numbers by10. = 64.5 ÷ 5 1 2 9 . ) 5 Divide as with whole numbers. 64.5 5 – 14 –10 5 4 –4 5 0

  7. Dividing Decimals and Integers by Decimals 4-5 Course 2 Try This: Example 1B Divide. B. 16.48 ÷ (–2.06) Multiply both numbers by 100. 1648 ÷ (206) 16.48 ÷ (–2.06) = 8 ) 206 1,648 –1 648 Divide as with whole numbers. 0 16.48 ÷ (–2.06) = –8 The signs are different.

  8. Dividing Decimals and Integers by Decimals 4-5 Course 2 Additional Example 2A: Dividing Integers by Decimals Divide. Estimate to check whether the answer is reasonable. A. 4 ÷ 1.25 Multiply both numbers by 100. 400 ÷ 125 4.00 ÷ 1.25 = . 3 2 ) 125 Use zero as a placeholder. 400 .0 Divide as with whole numbers. –375 25 0 –25 0 0 Estimate The answer is reasonable. 4 ÷ 1 = 4

  9. Dividing Decimals and Integers by Decimals 4-5 Course 2 Additional Example 2B:Dividing Integers by Decimals Divide. Estimate to check whether the answer is Reasonable. B. –24 ÷ (–2.5) Multiply both numbers by 10. –24.0 ÷ (–2.5) = –240 ÷ (–25) 9 6 . ) 0 240 . Divide as with whole numbers. 25 – 225 0 15 – 15 0 0 Estimate –24 ÷ (–3) = 8 The answer is reasonable.

  10. Dividing Decimals and Integers by Decimals 4-5 Course 2 Try This: Example 2A Divide. Estimate to check whether the answer is reasonable. A. 6 ÷ 1.25 Multiply both numbers by 100. 600 ÷ 125 6.00 ÷ 1.25 = . 4 8 ) 125 Use zero as a placeholder. 600 .0 Divide as with whole numbers. –500 100 0 –100 0 0 Estimate The answer is reasonable. 6 ÷ 1 = 6

  11. Dividing Decimals and Integers by Decimals 4-5 Course 2 Try This: Example 2B Divide. Estimate to check whether the answer is Reasonable. B. –22 ÷ (–2.5) Multiply both numbers by 10. –22.0 ÷ (–2.5) = –220 ÷ (–25) 8 8 . ) 0 220 . Divide as with whole numbers. 25 –200 0 20 –20 0 0 Estimate –22 ÷ (–3) = 7 The answer is reasonable.

  12. 4-4 Dividing Decimals by Integers Course 2 Additional Example 2: Money Application You can buy juice by the bottle or case. Either way, it costs the same for each bottle. A case of 24 bottles of juice cost $23.52. Kevin bought a bag of peanuts for 75¢ and one bottle of juice. How much did Kevin spend in all? First find the cost for one bottle of juice by dividing the cost of a case by the number of bottles in a case. Then add the cost of a bag of peanuts. 0 . 9 8 ) 24 Place the decimal point for the answer directly above the decimal under the division symbol. 23.52 21 6 1 92 –1 92 0 One bottle of juice costs $0.98 and a bag of peanuts costs $0.75 $0.98 + $0.75 = $1.73 Kevin spent a total of $1.73

  13. 4-4 Dividing Decimals by Integers Course 2 Insert Lesson Title Here Try This: Example 2 Cookies at a store sell for $1.80 a dozen. The cost for each cookie is the same whether you buy them individually or by the dozen. John decided to buy 1 cookie and a quart of milk. The milk cost $1.79. How much did John have to pay? First find the cost of one cookie by dividing the cost of a dozen by 12. Then add the price for the milk. 0 . 1 5 ) 12 Place the decimal point for the answer directly above the decimal under the division symbol. 1.80 1 2 60 – 60 0 One quart of milk costs $1.79 and one cookie costs $0.15. $1.79 + $0.15 = $1.94 John spent a total of $1.94.

  14. Division Vocabulary • The dividendis the number that is being divided. • The divisoris the number that the dividend will be divided by. • The quotient is the number of times the divisor will go into the dividend. (The answer to the division problem.) dividend÷divisor= quotient or quotient divisor )dividend • In this example 5 is the divisor, 36 is the dividend, 7.2 is the quotient. 7.2 36 ÷5= 7.2 ) 5 36.0 – 35 10 – 10 0

  15. 01/06/10 Divide Decimals #5 LT: I will divide decimals. Page 212 #1-6 Today’s Plan: -Multiplication Practice -Correct Homework -Divide Decimals Learning Target: -I will divide decimals.

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