Module 2 Lesson 24

Problem Set1. Divide. Show the division in two steps. The first two have been done for you.A. 1.2 6 = 0.2B. 1.2 60 = (1.2 6) 10 = 0.02C. 2.4 4 = _____D. 2.4 40 = ______________E. 14.7 7 = _____F. 14.7 70 = ______________G. 3.4 2 = ______H. 3.4 20 = _______________I. 0.45 9 = ______J. 0.45 90 = _______________K. 3.45 3 = _____L. 34.5 300 = ______________2. Use place value reasoning and the first quotient to compute the second quotient. Explain your thought.A. 46.5 5 = 9.346.5 50 = __________B. 0.51 3 = 0.170.51 30 = __________C.29.4 70 = 0.4229.4 7 = ___________D. 13.6 40 = 0.3413.6 4 = ___________Fluency Practice Rename Tenths and HundredthsRename the following unit form numbers to standard form (decimal)9 tenths10 tenths20 tenths90 tenths100 tenths200 tenths600 tenths650 tenths657 tenths832 tenths9 hundredths10 hundredths20 hundredths90 hundredths95 hundredths100 hundredths200 hundredths900 hundredths950 hundredths1,000 hundredths2,000 hundredths5,000 hundredths5,800 hundredths5,830 hundredths5,834 hundredths2,834 hundredths

=.9= 1.0= 2.0= 20.0= 65.7= .10= .95= 58.34= 58.00= 20.00= 9.50= 2.00= .90= .09= 10.0= 65.0=9.0=60.0=83.2=.20=1.00= 9.00=10.00=50.00=58.30=28.34Fluency Practice Divide Decimals15 ones 515 tenths 515 hundredths 512 tens 312 tenths 324 hundreds 624 hundredths 6= 3 ones or 3= 4 hundredths or .04= 4 hundred or 400= 4 tenths or .4= 4 tens or 40= 3 hundredths or .03= 3 tenths or .3Fluency Practice Divide by Two-Digit Numbers5,349 21

6,816 32

4,378 51

= 254 r 15= 213= 85 r 43Application ProblemA long-time runner compiled her training distances in the chart below. Fill in the missing values.Runners Log

Total Number of Miles RunNumber of DaysMiles Run Each Day4201214.5538.0101716.517 X 16.5 = 280.5420 12 = 3514.5 5 = 2.938 10 = 3.8Concept Development Problem 154 10How is this written in unit form?5 tens 4 onesWhat is 1 ten divided by 10?1 oneWhat is 5 tens divided by 10?5 onesHow do you show that using number disk?

1010101010 10 =11111Concept Development Problem 154 10What is 1 one divided by ten? (think 10 x ? = 1)1 tenthWhat is 4 ones divided by 10? (think 10 x ? = 4)4 tenthsShow using number disk.

Based on 5 tens divided by 10 and 4 ones divided by 10 quotients, what is the answer to 54 10?5.4

1111 10 =.1.1.1.1Concept Development Problem 154 10The answer is 5.4.What can you tell me about the quotient compared to the dividend?The quotient is 1 tenth as large as 54, or 54 is ten times larger than 5.4.

Concept Development Problem 25.4 10 = ?What is the unit form of the dividend?5 ones 4 tenthsWhat is 5 ones divided by 10? What is 4 tenths divided by 10? (Keep in mind our place value chart.)5 tenths and 4 hundredthsShow the division using number disk.

1111 10 =.1.1.1.11.1.1.1.1.1 10 =.01.01.01.01Concept Development Problem 25.4 10 = ?What is the answer based on our number disk and unit form answers? (Note: Add the two answers together.).54What can you tell me about the quotient and the dividend?The quotient is 1 tenth as large as the dividend.

Concept Development Problem 3.54 10 = ?What is the unit form of the dividend?5 tenths 4 hundredthsWhat is 5 tenths divided by 10? What is 4 hundredths divided by 10? (Keep in mind our place value chart.)5 hundredths and 4 thousandthsShow the division using number disk.

.1.1.1.1 10 =.01.01.01.01.1.01.01.01.01.01 10 =.001.001.001.001Concept Development Problem 3.54 10 = ?What is the answer based on our number disk and unit form answers? (Note: Add the two answers together.).054What can you tell me about the quotient and the dividend?The quotient is 1 tenth as large as the dividend.What pattern have you noticed in the last 3 problems?The numbers keep shifting one place to the right each time we divided by 10.

Concept Development Problem 454 90How is this problem different than problem 1? The divisor is a multiple of 10 instead of a power of 10.What is a simpler problem that you know the answer to?54 9 = 6 and/or 54 10 = 5.4What is another way to look at this problem? (think decomposition)54 10 9Do you recall what 54 10 is in problem 1?5.4Concept Development Problem 454 90The answer of 5.4 is the result of 54 10.What do we have left to do in the problem 54 10 9?5.4 9What is 5.4 9? (Think what can we multiply 9 by to get 5.4.) What is the unit form of 5.4 in tenths?54 tenthsWhat is 54 tenths divided by 9?6 tenthsWhat is quotient in standard form?0.6

Concept Development Problem 55.4 90How is this problem different than problem 2? The divisor is a multiple of 10 instead of a power of 10.What is a simpler problem that you know the answer to?5.4 9 = .6 and/or 5.4 10 = .54What is another way to look at this problem? (think decomposition)5.4 10 9Do you recall what 5.4 10 is in problem 2?.54Concept Development Problem 55.4 90The answer of .54 is the result of 5.4 10.What do we have left to do in the problem 5.4 10 9?.54 9What is .54 9? (Think what can we multiply 9 by to get .54.) What is the unit form of .54 in hundredths?54 hundredthsWhat is 54 hundredths divided by 9?6 hundredthsWhat is quotient in standard form?0.06

Concept Development Problem 6.54 90How is this problem different than problem 3? The divisor is a multiple of 10 instead of a power of 10.What is a simpler problem that you know the answer to?.54 9 = .06 and/or .54 10 = .054What is another way to look at this problem? (think decomposition).54 10 9Do you recall what .54 10 is in problem 3?.054Concept Development Problem 6.54 90The answer of .054 is the result of .54 10.What do we have left to do in the problem .54 10 9?.054 9What is .054 9? (Think what can we multiply 9 by to get .54.) What is the unit form of .054 in thousandths?54 thousandthsWhat is 54 thousandths divided by 9?6 thousandthsWhat is quotient in standard form?0.006

Concept Development Problem 754 900What is a simpler problem that you know the answer to?54 9 = 6 and/or 54 100 = .54What is another way to look at this problem? (think decomposition).54 100 9What is 54 100?.54What is .54 9? (Think of this as 54 hundredths).06

Concept Development Problem 85.4 900What is a simpler problem that you know the answer to?5.4 9 = .6 and/or 5.4 100 = .054What is another way to look at this problem? (think decomposition)5.4 100 9What is 5.4 100?.054What is .054 9? (Think of this as 54 hundredths).006

Exit Ticket1. DivideA. 27.3 3 = ____B. 2.73 30 = _____C. 273 300 = _____

2. If 7.29 9 = 0.81, then the quotient of 7.29 90 is ______________. Use the place value reasoning to explain the placement of the decimal point.End of Module ActivitiesProblem SetExit TicketHomeworkProblem Set3. Twenty (20) polar bears live at the zoo. In four weeks, they eat 9,732.8 pounds of food altogether. Assuming each bear is fed the same amount of food, how much food is used to feed one bear for a week? Round your answer to the nearest pound.

4. The total weight of 30 bags of flour and 4 bags of sugar is 42.6 kg. If each bag of sugar weighs 0.75 kg, what is the weight of each bag of flour?HomeworkChris rode his bike along the same route every day for 60 days. He logged that he had gone exactly 127.8 miles.A. How many miles did he bike each day? Show your work to explain how you know.B. How many miles did he bike over the course of two weeks?

4. 2.1 liters of coffee were equally distributed to 30 cups. How many milliliters of coffee were in each cup?