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3-8

3-8. Interpret the Quotient. Course 1. Warm Up. Problem of the Day. Lesson Presentation. Warm Up Divide. 1. 15.264 ÷ 3 2. 3.78 ÷ 3 3. 342 ÷ 7.6 4. 28.32 ÷ 4.8. 5.088. 1.26. 45. 5.9. Problem of the Day Divide your age in months by 12. What does the quotient tell you?.

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3-8

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  1. 3-8 Interpret the Quotient Course 1 Warm Up Problem of the Day Lesson Presentation

  2. Warm Up Divide. 1.15.264 ÷ 3 2. 3.78 ÷ 3 3. 342 ÷ 7.6 4. 28.32 ÷ 4.8 5.088 1.26 45 5.9

  3. Problem of the Day Divide your age in months by 12. What does the quotient tell you? my age in years

  4. Learn to solve problems by interpreting the quotient.

  5. Remember! To divide decimals, first write the divisor as a whole number. Multiply the divisor and dividend by the same power of ten.

  6. Think: The quotient shows that there is not enough to make 9 bags of slime that are 0.15 kg each. There is only enough for 8 bags. The decimal part of the quotient will not be used in the answer. Additional Example 1: Measurement ApplicationSuppose Mark wants to make bags of slime. If each bag of slime requires 0.15 kg of corn starch and he has 1.23 kg, how many bags of slime can he make? The question asks how many whole bags of slime can be made when the corn starch is divided into groups of 0.15 kg. 1.23 ÷ 0.15 = ? 1.23 ÷ 0.15 = 8.2 Mark can make 8 bags of slime.

  7. Think: The quotient shows that there is not enough to make 10 bags of slime that are 0.15 kg each. There is only enough for 9 bags. The decimal part of the quotient will not be used in the answer. Check It Out: Example 1 Suppose Antonio wants to make bags of slime. If each bag of slime requires 0.15 kg of corn starch and he has 1.44 kg, how many bags of slime can he make? The question asks how many whole bags of slime can be made when the corn starch is divided into groups of 0.15 kg. 1.44 ÷ 0.15 = ? 1.44 ÷ 0.15 = 9.6 Antonio can make 9 bags of slime.

  8. __ 237 ÷ 36 = 6.583 Think: 6 rolls of film will not be enough to take every student’s picture. Mr. Jones will need to buy another roll of film The quotient must be rounded up to the next highest whole number. Additional Example 2: Photography Application There are 237 students in the seventh grade. If Mr. Jones buys rolls of film with 36 exposures each, how many rolls will he need to take every student’s picture? The question asks how many rolls are needed to take a picture of every one of the students. Mr. Jones will need 7 rolls of film.

  9. 342 ÷ 24 = 14.25 Think: 14 rolls of film will not be enough to take every student’s picture. Ms. Tia will need to buy another roll of film. The quotient must be rounded up to the next highest whole number. Check It Out: Example 2 There are 342 students in the seventh grade. If Ms. Tia buys rolls of film with 24 exposures each, how many rolls will she need to take every student’s picture? The question asks how many rolls are needed to take a picture of every one of the students. Ms. Tia will need 15 rolls of film.

  10. 42.25 ÷ 13 = 3.25 Think: The question asks for an exact answer, so do not estimate. Use the entire quotient. Additional Example 3: Social Studies Application Gary has 42.25 meters of rope. If he cuts it into 13 equal pieces, how long is each piece? The question asks how long each piece will be when the rope is cut into 13 pieces. Each piece will be 3.25 meters long.

  11. 64.20 ÷ 15 = 4.28 Think: The question asks for an exact answer, so do not estimate. Use the entire quotient. Check It Out: Example 3 Ethan has 64.20 meters of rope. If he cuts it into 15 equal pieces, how long is each piece? The question asks how long each piece will be when the rope is cut into 15 pieces. Each piece will be 4.28 meters long.

  12. Lesson Quiz Solve. 1. The cross-country team’s goal is to run 26.25 mi next week. If they run only 5 days next week, how many miles would they have to run each day? 2. Shannon is having a surprise party for her parents. She wants to invite 22 friends. Invitations come in packages of 8. How many packages does Shannon need to buy? 5.25 mi 3

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