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2 compatible numbers Numbers thatare easy to compute with mentallydividend The number that is to bedivided in a division problemDear Family,During the next few weeks, our math class will belearning about dividing three- and four-digit wholenumbers. We will also learn how to interpret remainders.You can expect to see homework that provides practicewith division of three- and four-digit dividends by oneand two-digit divisors.divisor The number that divides thedividendquotient The number, not includingthe remainder, that results fromdividingremainder The amount left overwhen a number cannot be dividedequallyHere is a sample of how your child will be taught todivide a three-digit number by a one-digit divisor.Divide Three-Digit Numbers This is how we will divide three-digit numbers.Identifying Patternsin DivisionSolve. 268 4 5STEP 1STEP 2Estimate to place theDivide the tens.first digit in the quotient.55268qw250 4 5 5 50225So, place the first digit in18the tens place. Houghton Mifflin Harcourt Publishing Company55qw268STEP 3Divide the ones.53 r35qw268225182153When estimating to placethe first digit, it is importantto recognize patterns withmultiples of 10, 100, and1,000. Complete the divisionwith basic facts, then attachthe same number of zeros tothe dividend and the quotient.36 4 4 5 9so, 36,000 4 4 5 9,000.ActivityPlan a vacation for the summer. Research the distance to the destinationfrom your home. You can spend no more than one week traveling to thedestination, and you must travel the same number of miles each day.Decide how many days you will spend traveling. Then find how manymiles you need to travel each day.Chapter 2P29

2 números compatibles Números con losque se pueden hacer cálculos mentalesfácilmente dividendo El número que se va a dividiren un problema de divisiónQuerida familia,Durante las próximas semanas en la clase de matemáticasaprenderemos a dividir números enteros de tres y cuatrodígitos. También aprenderemos a interpretar los residuos.divisor El número entre el que se divideel dividendocociente El número, sin incluir al residuo,que resulta de la divisiónresiduo La cantidad que sobra cuandoun número no se puede dividir en partesigualesLlevaré a la casa tareas con actividades para practicarla división de dividendos de tres y cuatro dígitos entredivisores de uno y dos dígitos.Este es un ejemplo de la manera como aprenderemos a dividirun número de tres dígitos entre un número de un dígito.Dividir números de tres dígitos Este es un ejemplo de cómo dividir números de tres dígitos.Identificar patrones en ladivisiónPASO 1PASO 2PASO 3Estima para colocar elprimer dígito del cociente.Divide las decenas.Divide las unidades.250 4 5 5 50Por lo tanto, coloca elprimer dígito en el lugarde las decenas.55qw2682251853 r35qw26822518215355qw268ActividadPlaneen unas vacaciones de verano. Investiguen cuál es la distancia desdesu casa hasta el destino. Sólo tienen una semana para hacer el viaje y debenrecorrer el mismo número de millas cada día. Decidan cuántas millas debenrecorrer cada día.P30Al estimar para colocar el primerdígito, es importante identificarpatrones con múltiplos de 10,100 y 1000. Completa la divisióncon operaciones básicas, luegoagrega el mismo número deceros al dividendo y al cociente.36 4 4 5 9Por lo tanto,36,000 4 4 5 9,000 Houghton Mifflin Harcourt Publishing CompanyResuelve 268 4 5

Lesson 2.1NameCOMMON CORE STANDARD MACC.5.NBT.2.6Place the First DigitPerform operations with multi-digit wholenumbers and with decimals to 973884qw236282280975.2,117 4 3 Houghton Mifflin Harcourt Publishing Company6.520 4 87.9. The school theater department made 2,1421,812 4 48.10. Andreus made3,476 4 6 625 mowing yards. Heon ticket sales for the three nights of theirplay. The department sold the same numberof tickets each night and each ticket cost 7.How many tickets did the theater departmentsell each night?worked for 5 consecutive days and earned thesame amount of money each day. How muchmoney did Andreus earn per day?Chapter 2P31

Lesson Check (MACC.5.NBT.2.6)1. Kenny is packing cans into bags at the foodbank. He can pack 8 cans into each bag.How many bags will Kenny need for1,056 cans?A 1332. Liz polishes rings for a jeweler. She canpolish 9 rings per hour. How many hourswill it take her to polish 315 rings?A 45 hoursB 35 hoursB 132C 25 hoursC 131D 15 hoursD 130Spiral Review (MACC.5.NBT.1.2, MACC.5.NBT.2.5, MACC.5.NBT.2.6)256 fluid ounces of juice to make100,0001 bowl of punch. How many fluid ounces ofjuice will she use to make 3 bowls of punch?using a base of 10 and an exponent. Whatnumber should he use as the exponent?(Lesson 1.7)(Lesson 1.4)A56 fluid ouncesA4B 128 fluid ouncesB5C 512 fluid ouncesC 10D 768 fluid ouncesD 100,0005. Family passes to an amusement park costP324. Len wants to write the number6. Gary is catering a picnic. There will be 54 each. Which expression can be used tofind the cost in dollars of 8 family passes?118 guests at the picnic, and he wants eachguest to have a 12-ounce serving of salad.(Lesson 1.3)How much salad should he make? (Lesson 1.7)A (8 1 50) 1 (8 1 4)AB (8 1 50) 3 (8 1 4)B 1,180 ouncesC (8 3 50) 1 (8 3 4)C 1,416 ouncesD (8 3 50) 3 (8 3 4)D 1,516 ounces216 ounces Houghton Mifflin Harcourt Publishing Company3. Fiona uses

Lesson 2.2NameCOMMON CORE STANDARD MACC.5.NBT.2.6Divide by 1-Digit DivisorsPerform operations with multi-digit wholenumbers and with decimals to hundredths.Divide.1.4qw7242.5qw3123.278 4 24.336 4 71814qw7242432232042 40181Find the value of n in each equation. Write what n representsin the related division problem.5. n 53 3 45 Houghton Mifflin Harcourt Publishing Company6.643 5 4 3 160 1 n8. Randy has 128 ounces of dog food. He feeds7. n 56 3 35 1 49. Angelina bought a64-ounce can of lemonadehis dog 8 ounces of food each day. How manydays will the dog food last?mix. She uses 4 ounces of mix for each pitcherof lemonade. How many pitchers of lemonadecan Angelina make from the can of mix?Chapter 2P33

Lesson Check (MACC.5.NBT.2.6)1. A color printer will print8 pages per minute.2. A postcard collector has1,230 postcards.How many minutes will it take to print areport that has 136 pages?6 cards each, how many pages does she need?If she displays them on pages that holdA 18 minutesA 230B 17 minutesB 215C 16 minutesC 205D 15 minutesD 125Spiral Review (MACC.5.NBT.1.1, MACC.5.NBT.2.5, MACC.5.NBT.2.6) 196.She wants to pay for it in four equal monthlyinstallments. What is the amount she will payeach month? (Lesson 2.1)3. Francis is buying a stereo system forA 39B 49C 1924. A bakery bakes 184 loaves of bread in 4 hours.How many loaves does the bakery bake in1 hour? (Lesson 2.2)A 736B 180C92D46D 784them in boxes that hold 235 cards each.If Marvin has 4 boxes full of cards, how manycards does he have in his collection?A 810,745B 807,150A 940C 708,415B 920D 870,541D 7057 in theten-thousands place? (Lesson 1.2)(Lesson 1.6)C 800P346. Which number has the digit Houghton Mifflin Harcourt Publishing Company5. Marvin collects trading cards. He stores

Lesson 2.3NameCOMMON CORE STANDARD MACC.5.NBT.2.6Division with 2-Digit DivisorsPerform operations with multi-digit wholenumbers and with decimals to hundredths.Use the quick picture to divide.1.11132 4 12 5102.168 4 14 5BB1 11214Divide. Use base-ten blocks.3.195 4 13 54.143 4 11 55.165 4 15 5Divide. Draw a quick picture. Houghton Mifflin Harcourt Publishing Company6.192 4 16 57.182 seats in a theater. The seats areevenly divided into 13 rows. How many seatsare in each row?9. There are8. There are169 4 13 5156 students at summer camp.The camp has 13 cabins. An equal numberof students sleep in each cabin. How manystudents sleep in each cabin?Chapter 2P35

Lesson Check (MACC.5.NBT.2.6)1. There are 198 students in the soccer league.There are 11 players on each soccer team.How many soccer teams are there?A 17B 18C 19D 212. Jason earned 187 for 17 hours of work.How much did Jason earn per hour?A 11B 12C 13D 14Spiral Review (MACC.5.OA.1.2, MACC.5.NBT.1.1, MACC.5.NBT.2.5, MACC.5.NBT.2.6)hundred thousand, twenty? (Lesson 1.2)“Add the product of 3 and 6 to 4?” (Lesson 1.10)A 6,000,720A (4 1 3) 3 6B 6,007,020B 4 1 (3 3 6)C 6,700,020C 4 1 (3 1 6)D 6,720,000D 43316228 people to an island, theisland ferry makes 6 different trips. On each5. To transporttrip, the ferry carries the same number ofpeople. How many people does the ferrytransport on each trip? (Lesson 2.2)A 36B 37C 38D 39P364. Which expression represents the sentence36 tickets to the school talentshow. Each ticket costs 14. How much6. Isabella sellsmoney does Isabella collect for the ticketsshe sells? (Lesson 1.7)A 180B 384C 404D 504 Houghton Mifflin Harcourt Publishing Company3. Which number represents six million, seven

Lesson 2.4NameCOMMON CORE STANDARD MACC.5.NBT.2.6Partial QuotientsPerform operations with multi-digit wholenumbers and with decimals to hundredths.Divide. Use partial quotients.18qw2362.36qw5403.27qw6244.478 4 165.418 4 226.625 4 257.514 4 288.322 4 149.715 4 251. Houghton Mifflin Harcourt Publishing Company18wq 23610 3 18 1021805622362 3 18202181 3 18 1 1213236 4 18 is 13 r2.1,560 ounces ofolive oil per hour. The oil is packagedinto 24-ounce bottles. How many bottlesdoes the factory fill in one hour?10. A factory processes4,290 gallons ofwater. The groundskeeper drains the pond at arate of 78 gallons of water per hour. How longwill it take to drain the pond?11. A pond at a hotel holdsChapter 2P37

Lesson Check (MACC.5.NBT.2.6)1. Yvette has336 eggs to put into cartons. She2. Ned mows a450 square-foot garden inputs one dozen eggs into each carton. Howmany cartons does she fill?15 minutes. How many square feet of theA 20A3 square feetB 21B30 square feetC 27C 435 square feetD 28D 465 square feetgarden does he mow in one minute?Spiral Review (MACC.5.NBT.1.1, MACC.5.NBT.2.5, MACC.5.NBT.2.6)3. Raul has 56 bouncy balls. He puts three timesas many balls into red gift bags as he puts intogreen gift bags. If he puts the same number ofballs into each bag, how many balls does heput into green bags? (Lesson 1.9)A 42B 19C 144. Marcia uses5 ounces of chicken stock tomake one batch of soup. She has a total of400 ounces of chicken stock. How manybatches of soup can Marcia make? (Lesson 2.2)A50B80C200D 2,000D 12how many pounds of gravel did she buy?(Lesson 1.7)A 156 poundsB 143 poundsC 130 poundsDP3826 pounds6. Which of the following represents4,305,012in expanded notation? (Lesson 1.2)A 400,000 1 30,000 1 5,000 1 12B 40,000 1 3,000 1 500 1 10 1 2C 4,000,000 1 300,000 1 5,000 1100 1 2D 4,000,000 1 300,000 1 5,000 110 1 2 Houghton Mifflin Harcourt Publishing Company13 bags of gravel for her fishaquarium. If each bag weighs 12 pounds,5. Michelle buys

Lesson 2.5NameCOMMON CORE STANDARD MACC.5.NBT.2.6Estimate with 2-Digit DivisorsPerform operations with multi-digit wholenumbers and with decimals to hundredths.Use compatible numbers to find two 6.1,418 4 227.16qw2,0288.2,242 4 331,200 4 205 601,400 4 205 705.336 4 12Use compatible numbers to estimate the quotient. Houghton Mifflin Harcourt Publishing Company9.82qw5,51410.61qw5,32013. A cubic yard of topsoil weighs4,128 pounds.About how many 50-pound bags of topsoilcan you fill with one cubic yard of topsoil?11.28qw77612.23qw1,62414. An electronics store places an order for2,665 USB flash drives. One shipping boxholds 36 flash drives. About how many boxeswill it take to hold all the flash drives?Chapter 2P39

Lesson Check (MACC.5.NBT.2.6)567 earmuffs in stock. If shecan put 18 earmuffs on each shelf, about1. Marcy hashow many shelves does she need for allthe earmuffs?A about 202. Howard pays 327 for one dozen collector’sedition baseball cards. About how much doeshe pay for each baseball card?A about 20B about 30B about 30C about 45C about 570D about 50D about 590Spiral Review (MACC.5.NBT.1.1, MACC.5.NBT.2.5, MACC.5.NBT.2.6)days will it take him to complete the order?(Lesson 2.2)4. Madeleine can typeHow many hours will it take her to typea 123-page report?(Lesson 2.2)A 10 daysA 65 hoursB 11 daysB 45 hoursC 12 daysC 41 hoursD 13 daysD 22 hours5. Suppose you round43,257,529 to6. Grace’s catering received an order for43,300,000. To what place value did you118 apple pies. Grace uses 8 apples to makeround the number? (Lesson 1.2)one apple pie. How many apples does sheneed to make all 118 pies? (Lesson 1.6)A hundred thousandsB ten thousandsC thousandsD tensA 110B 126C 884D 944P403 pages in one hour. Houghton Mifflin Harcourt Publishing Company9 pictures each day. Hehas an order for 108 pictures. How many3. Andrew can frame

Lesson 2.6NameCOMMON CORE STANDARD MACC.5.NBT.2.6Divide by 2-Digit DivisorsPerform operations with multi-digit wholenumbers and with decimals to hundredths.Divide. Check your answer.1.385 4 122.837 4 363.1,650 4 554.5,634 4 186.5,309 4 qw5,624756 machine14. One bag holds Houghton Mifflin Harcourt Publishing Company32 r112wq 3852362522415.7,231 4 249.28qw6,44010.13. The factory workers make12 bolts. Several bags filledparts in 36 hours. Suppose the workersmake the same number of machine partseach hour. How many machine parts do theymake each hour?with bolts are packed into a box and shippedto the factory. The box contains a total of2,760 bolts. How many bags of bolts are inthe box?Chapter 2P41

Lesson Check (MACC.5.NBT.2.6)1. A bakery packages868 cupcakes into31 boxes. The same number of cupcakes2. Maggie orders19 identical gift boxes. Theare put into each box. How many cupcakesare in each box?Ship-Shape Packaging Company packs andships the boxes for 1,292. How much doesit cost to pack and ship each box?A 28A 58B 37B 64C 38C 68D 47D 78Spiral Review (MACC.5.NBT.1.1, MACC.5.NBT.2.6)four million, two hundred sixteen thousand,ninety? (Lesson 1.2)cost for one person to skate? (Lesson 2.5)A 4,260,090A about 9B 4,216,900B about 15C 4,216,090C about 25D 4,216,019D about 20016-ouncebottles of water. She drinks the water in 4 equal5. In two days, Gretchen drinks sevenservings. How many ounces of water doesGretchen drink in each serving? (Lesson 1.9)A 112 ouncesP4223 friends go roller skating. Theypay a total of 186. About how much does it4. Kelly andB28 ouncesC12 ouncesD4 ounces6. What is the value of the underlined digit in5,436,788? (Lesson 1.2)A4B400C40,000D 400,000 Houghton Mifflin Harcourt Publishing Company3. What is the standard form of the number

Lesson 2.7NameCOMMON CORE STANDARD MACC.5.NF.2.3Interpret the RemainderApply and extend previous understandingsof multiplication and division to multiply anddivide fractions.Interpret the remainder to solve.1. Warren spent140 hours making 16 woodentoy trucks for a craft fair. If he spent the sameamount of time making each truck, how manyhours did he spend making each truck?412 bouquets of flowers forcenterpieces. She uses 8 flowers for2. Marcia haseach centerpiece. How many centerpiecescan she make?816qw1402128128 34 hours3. On the 5th grade class picnic,50 studentsshare 75 sandwiches equally. How manysandwiches does each student get? Houghton Mifflin Harcourt Publishing Company5. Fiona bought 212 stickers to make a sticker book.14 tomatoseedlings. If you have 1,113 seedlings, how4. One plant container holdsmany containers do you need to hold all theseedlings?If she places 18 stickers on each page, howmany pages will her sticker book have?220 ounces of cleaning solutionthat she wants to divide equally among12 large containers. How much cleaningsolution should she put in each container?6. Jenny hasChapter 2P43

Lesson Check (MACC.5.NF.2.3)28 classmates go to the rollerskating rink. Each van can hold 11 students.1. Henry and2. Candy buys20 ounces of mixed nuts. SheIf all of the vans are full except one, howmany students are in the van that is not full?puts an equal number of ounces in each of3 bags. How many ounces of mixed nuts willbe in each bag?A 1A 7 ouncesB 2B 6 2 3 ouncesC 6C 6 ouncesD 7D 2 ouncesSpiral Review (MACC.5.NBT.2.5, MACC.5.NBT.2.6)3. Jayson earns 196 each week bagginggroceries at the store. He saves half hisearnings each week. How much moneydoes Jayson save per week? (Lesson 2.2)A 92B 98C 1024. Desiree swims laps for25 minutes each day.How many minutes does she spendswimming laps in 14 days? (Lesson 1.7)A29 minutesB 125 minutesC 330 minutesD 350 minutesD 106charity. He will bike 144 miles per day for5 days. How many miles will Steve bike in all?(Lesson 1.6)P446. Kasi is building a patio. He has136 bricks.He wants the patio to have 8 rows, each withthe same number of bricks. How many brickswill Kasi put in each row? (Lesson 2.2)A 360 milesA17B 620 milesB18C 720 milesC128D 820 milesD 1,088 Houghton Mifflin Harcourt Publishing Company5. Steve is participating in a bike-a-thon for

Lesson 2.8NameCOMMON CORE STANDARD MACC.5.NBT.2.6Adjust QuotientsPerform operations with multi-digit wholenumbers and with decimals to hundredths.Adjust the estimated digit in the quotient, if needed. Then 56.2,072 4 867.1,280 4 258.31qw1,49612.82qw4,018280176116wq 976296162160 Houghton Mifflin Harcourt Publishing CompanyDivide.5.2,961 4 479.86qw6,29010.95qw4,00011.44qw2,91089 copies in one minute.14. Erica is saving her money to buy a dining roomHow long does it take the copier to print1,958 copies?set that costs 580. If she saves 29 eachmonth, how many months will she need to saveto have enough money to buy the set?13. A copier printsChapter 2P45

Lesson Check (MACC.5.NBT.2.6)5,675 pounds of flour forthe bakery. The flour comes in 25-pound1. Gail orderedbags. How many bags of flour will the bakeryreceive?2. Simone is in a bike-a-thon for a fundraiser.She receives 15 in pledges for every mileshe bikes. If she wants to raise 510, howmany miles does she need to bike?A203A32 milesB227B34 milesC230C52 milesD 495 milesD 5,650Spiral Review (MACC.5.OA.1.2, MACC.5.NBT.1.1, MACC.5.NBT.2.6)9 beads to make each bracelet. How manybracelets can she make with 156 beads?(Lesson 2.2)4. A total of 1,056 students from different schoolsenter the county science fair. Each schoolenters exactly 32 students. How many schoolsparticipate in the science fair? (Lesson 2.6)A 12A 33,792B 14B352C 17C34D 18D335. Which number is less than(Lesson 1.2)A 6,789,398B 6,789,599C 6,809,405D 6,879,3326,789,405?6. Christy buysbarrettes equally between herself and her3 sisters. Which expression represents thenumber of barrettes each girl gets? (Lesson 1.10)48 1 1A3B 48 4 (3 1 1)48C3D 48 2 3P4648 barrettes. She shares the Houghton Mifflin Harcourt Publishing Company3. Lina makes beaded bracelets. She uses

PROBLEM SOLVINGLesson 2.9Name HE8B;CÃ EBL?D ÃÄÃ ?L?I?EDÃÃCOMMON CORE STANDARD MACC.5.NBT.2.6Perform operations with multi-digit wholenumbers and with decimals to hundredths.Show your work. Solve each problem.12 times as many baseball cards asTony. Between them, they have 208 baseball cards.How many baseball cards does each boy have?1. Duane has 208 4 13 5 16Tony: 16 cards; Duane: 192 cards2. Hallie has10 times as many pages to read for herhomework assignment as Janet. Altogether, theyhave to read 264 pages. How many pages doeseach girl have to read?3. Hank has48 fish in his aquarium. He has 11 timesas many tetras as guppies. How many of each typeof fish does Hank have? Houghton Mifflin Harcourt Publishing Company4 times as many songs on her musicplayer as Lou. Tiffany has 6 times as many songs4. Kelly hason her music player as Lou. Altogether, they have682 songs on their music players. How many songsdoes Kelly have?Chapter 2P47

Lesson Check (MACC.5.NBT.2.6)11 times as many art brushesas Monique. If they have 60 art brushes1. Chelsea hasaltogether, how many brushes doesChelsea have?A52. Jo has a gerbil and a German shepherd. Theshepherd eats 14 times as much food as thegerbil. Altogether, they eat 225 ounces of dryfood per week. How many ounces of fooddoes the German shepherd eat per week?A 225 ouncesB 11B 210 ouncesC 49D 55C15 ouncesD14 ouncesSpiral Review (MACC.5.NBT.2.5, MACC.5.NBT.2.6, MACC.5.NF.2.3)3. Jeanine is twice as old as her brother Marc.If the sum of their ages is 24, how old isJeanine? (Lesson 1.9)A 16B 12C8D34. Larry is shipping nails that weigh a totalof 53 pounds. He divides the nails equallyamong 4 shipping boxes. How many poundsof nails does he put in each box? (Lesson 2.7)A4 poundsB 13 poundsC 13 1 4 poundsD 14 poundsHow many bulbs does Annie plant in all?(Lesson 1.6)A 738B 792C 924D 984P486. Next year, four elementary schools will eachsend 126 students to Bedford Middle School.What is the total number of students theelementary schools will send to the middleschool? (Lesson 1.6)A46B 344C 444D 504 Houghton Mifflin Harcourt Publishing Company6 rows of small flower bulbs ina garden. She plants 132 bulbs in each row.5. Annie plants

COMMON CORE STANDARDS MACC.5.NBT.2.6, MACC.5.NF.2.3NameChapter 2 Extra PracticeLessons 525.3,629 4 96.2,961 4 77.3qw4,2768.6qw3,2519.1,664 4 52.2,384 4 233.378 4 56 Houghton Mifflin Harcourt Publishing CompanyLessons 2.3–2.6Estimate. Then divide.1.19qw1,425Chapter 2P49

Lesson 2.7Interpret the remainder to solve.195 glasses into cartons.Each carton can hold 18 glasses. How many1. Matthew is packingcartons does Matthew need?2. Julia wants to make8 bows using 18 feet ofribbon. She wants to use an equal length ofribbon for each bow with no ribbon left over.How many feet of ribbon can she use foreach bow?Lesson 2.8Divide.1.32qw5492.1,296 4 363.588 4 844.12qw3205.53qw6,6816.6,370 4 29Solve.12 times as many inches ofsnow as Redville gets. Altogether, the twotowns get 65 inches of snow. How manyinches of snow does Redville get?1. Greenboro getsP5015 times as manymiles as Zack runs. Altogether, they run192 miles. How many miles does Ansley runin one month?2. In one month, Ansley runs Houghton Mifflin Harcourt Publishing CompanyLesson 2.9

Divide Three-Digit Numbers This is how we will divide three-digit numbers. Solve. 268 4 5 STEP 1 Estimate to place the first digit in the quotient. 250 4 5 5 50 So, place the first digit in the tens place. 5 5 q w268 Identifying Patterns in Division When estimating to place the first digit, it is important to recognize patterns with

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