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2 Distributive Property The propertythat states that multiplying a sum bya number is the same as multiplyingeach addend by the number andthen adding the productsDear Family,During the next few weeks, our math class will belearning about multiplying by 1-digit whole numbers.We will investigate strategies for multiplying 2-, 3-,and 4-digit numbers by the numbers 2–9.partial products A method ofmultiplying in which the ones, tens,hundreds, and so on are multipliedseparately and then the products areadded togetherYou can expect to see homework that providespractice with multiplication by 1-digit numbers.Here is a sample of how your child will be taught tomultiply by a 1-digit number.Multiply by a 1-Digit NumberThis is one way we will be multiplying by 1-digit numbers.STEP 1STEP 2STEP 3Multiply the tens.Record.Multiply the ones.Record.Add the partialproducts. Houghton Mifflin Harcourt Publishing Company263 3603 3 2 tens5 6 tens263 360183 3 6 ones5 18 ones263 3601 1878 Estimating to CheckMultiplicationWhen estimation is used tocheck that a multiplicationanswer is reasonable,usually the greater factor isrounded to a multiple of 10that has only onenon-zero digit. Then mentalmath can be used to recallthe basic fact product,and patterns can be usedto determine the correctnumber of zeros in theestimate.Chapter 2P21
2 Propiedad Distributiva La propiedadque establece que multiplicar unasuma por un número es lo mismo quemultiplicar cada sumando por el númeroy luego sumar los productos Querida familia,Durante las próximas semanas, en la clase dematemáticas aprenderemos a multiplicar númerosenteros de un dígito. Investigaremos estrategias paramultiplicar números de 2, 3 y 4 dígitos por números del2 al 9.productos parciales Un método demultiplicación en el cual las unidades,las decenas, las centenas y asísucesivamente, se multiplican porseparado, y después se suman susproductosLlevaré a la casa tareas para practicar la multiplicaciónde números de 1 dígito.Este es un ejemplo de la manera como aprenderemos amultiplicar por un número de 1 dígito.Multiplicar por un número de 1 dígitoPASO 1PASO 2PASO 3Multiplica las decenas.Anota.Multiplica las unidades.Anota.Suma los productosparciales.263 360P223 3 2 decenas5 6 decenas263 360183 3 6 unidades5 18 unidades263 3601 1878 Estimar para revisar lamultiplicaciónCuando se usa la estimaciónpara revisar que la respuestade una multiplicación esrazonable, el factor se sueleredondear al múltiplo de10 que tiene un solo dígitodistinto a cero. Después sepuede usar el cálculo mentalpara recordar el productobásico de la operación, yse pueden usar patronespara determinar la cantidadcorrecta de ceros de laestimación. Houghton Mifflin Harcourt Publishing CompanyEsta es una manera en la que multiplicaremos por unnúmero de 1 dígito.
ALGEBRALesson 2.1NameMultiplication ComparisonsCOMMON CORE STANDARD MACC.4.OA.1.1Use the four operations with whole numbers to solveproblems.Write a comparison sentence.1. 6 3 3 5 182. 63 5 7 3 93618times as many as is .3. 5 3 4 5 20794. 48 5 8 3 64563is times as many as .20times as many as is .4886is times as many as .Write an equation.5. 2 times as many as 8 is 16.6. 42 is 6 times as many as 7.7. 3 times as many as 5 is 15.8. 36 is 9 times as many as 4.9. 72 is 8 times as many as 9.10. 5 times as many as 6 is 30.2 3 8 5 163 3 5 5 15 Houghton Mifflin Harcourt Publishing Company72 5 8 3 911. Alan is 14 years old. This is twice as old ashis brother James is. How old is James?7 years old42 5 6 3 736 5 9 3 45 3 6 5 3012. There are 27 campers. This is nine timesas many as the number of counselors.How many counselors are there?3 counselorsChapter 2P23
Lesson Check (MACC.4.OA.1.1)1. Which equation best represents thecomparison sentence?2. Which comparison sentence bestrepresents the equation?5 3 9 5 4524 is 4 times as many as 6.A 24 3 4 5 6A 5 more than 9 is 45.B 24 5 4 3 6B 9 is 5 times as many as 45.C 24 5 4 1 6C 5 is 9 times as many as 45.D 4 1 6 5 24D 45 is 5 times as many as 9.Spiral Review (MACC.4.OA.1.3, MACC.4.NBT.1.2, MACC.4.NBT.1.3)compares the numbers? (Lesson 1.3)200,000 1 80,000 1 700 1 6? (Lesson 1.2)A 273,915 . 274,951A2,876B 134,605 , 143,605B28,706C 529,058 . 530,037C 208,706D 452,731 . 452,819D 280,7065. Sean and Leah are playing a computergame. Sean scored 72,491 points.Leah scored 19,326 points morethan Sean. How many points did Leahscore? (Lesson 1.6)A 53,615B 91,717C 91,815D 91,817P244. What is the standard form for6. A baseball stadium has 38,496 seats.Rounded to the nearest thousand, howmany seats is this? (Lesson 1.4)A 38,000B 38,500C 39,000D 40,000 Houghton Mifflin Harcourt Publishing Company3. Which of the following statements correctly
ALGEBRALesson 2.2NameComparison ProblemsCOMMON CORE STANDARD MACC.4.OA.1.2Use the four operations with whole numbers to solveproblems.Draw a model. Write an equation and solve.1. Stacey made a necklace using 4 times asmany blue beads as red beads. She useda total of 40 beads. How many blue beadsdid Stacey use?Think: Stacey used a total of 40 beads. Let nrepresent the number of red beads.CMVFnSFEnnnn2. At the zoo, there were 3 times as manymonkeys as lions. Tom counted a totalof 24 monkeys and lions. How manymonkeys were there?NPOLFZTnMJPOTnnn 5 3 n 5 40; 5 3 8 5 40; 4 3 n 5 24; 4 3 6 5 24;4 3 8 5 32 blue beads 3 3 6 5 18 monkeys3. Fred’s frog jumped 7 times as far as Al’s4. Sheila has 5 times as many markers asfrog. The two frogs jumped a total of56 inches. How far did Fred’s frog jump?Dave. Together, they have 18 markers.How many markers does Sheila have?'SFE T GSPH nnnnnnn"M T GSPH n J \ cXn;Xm\nnnnn(/ Houghton Mifflin Harcourt Publishing Company8 3 n 5 56; 8 3 7 5 56; 6 3 n 5 18; 6 3 3 5 18;5 3 3 5 15 markers7 3 7 5 49 inches5. Rafael counted a total of 40 white carsand yellow cars. There were 9 times asmany white cars as yellow cars. Howmany white cars did Rafael count?36 white cars6. Sue scored a total of 35 points in twogames. She scored 6 times as manypoints in the second game as in the first.How many more points did she score inthe second game?25 more pointsChapter 2P25
Lesson Check (MACC.4.OA.1.2)1. Sari has 3 times as many pencil erasersas Sam. Together, they have 28 erasers.How many erasers does Sari have?A7B 142. In Sean’s fish tank, there are 6 times asmany goldfish as guppies. There are atotal of 21 fish in the tank. How manymore goldfish are there than guppies?A5C 18B 12D 21C 15D 18Spiral Review (MACC.4.OA.1.1, MACC.4.OA.1.3, MACC.4.NBT.1.2)3. Barbara has 9 stuffed animals. Trish has3 times as many stuffed animals asBarbara. How many stuffed animals doesTrish have? (Lesson 2.1)A3B 12C 24D 274. There are 104 students in the fourthgrade at Allison’s school. One day,15 fourth-graders were absent. How manyfourth-graders were at school that day?(Lesson 1.7)A89B91C99D 119Albert has 107 rocks. What is the correctorder of the boys from the least to thegreatest number of rocks owned? (Lesson 1.3)A Jose, Albert, JoshuaB Jose, Joshua, AlbertC Albert, Jose, JoshuaD Joshua, Albert, JoseP266. Alicia has 32 stickers. This is 4 times asmany stickers as Benita has. How manystickers does Benita have? (Lesson 2.1)A6B8C9D 28 Houghton Mifflin Harcourt Publishing Company5. Joshua has 112 rocks. Jose has 98 rocks.
Lesson 2.3NameMultiply Tens, Hundreds, and ThousandsCOMMON CORE STANDARD MACC.4.NBT.2.5Use place value understanding and properties ofoperations to perform multi-digit arithmetic.Find the product.28,0001. 4 3 7,000 55402. 9 3 60 5Think: 4 3 7 5 28So, 4 3 7,000 5 28,0001,6004. 5 3 6,000 55,6006. 8 3 90 53. 8 3 200 55. 7 3 800 518,0007. 6 3 3,000 52,5009. 5 3 500 572024,0008. 3 3 8,000 536,00010. 9 3 4,000 549,00012. 3 3 40 513. 4 3 5,000 520,00014. 2 3 9,000 515. A bank teller has 7 rolls of coins. Each roll16. Theo buys 5 packages of paper. There11. 7 3 7,000 5 Houghton Mifflin Harcourt Publishing Company30,000has 40 coins. How many coins does thebank teller have?280 coins12018,000are 500 sheets of paper in each package.How many sheets of paper doesTheo buy?2,500 sheetsChapter 2P27
Lesson Check (MACC.4.NBT.2.5)1. A plane is traveling at a speed of400 miles per hour. How far will theplane travel in 5 hours?A200 milesB2,000 milesC20,000 milesD 200,000 miles2. One week, a clothing factory made2,000 shirts in each of 6 different colors.How many shirts did the factory makein all?A2,000B12,000C120,000D200,000Spiral Review (MACC.4.OA.1.1, MACC.4.OA.1.2, MACC.4.OA.1.3, MACC.4.NBT.1.2)represents the equation? (Lesson 2.1)6 3 7 5 42A 7 is 6 times as many as 42.B 6 is 7 times as many as 42.C 42 is 6 times as many as 7.D 6 more than 7 is 42.5. In an election for mayor, 85,034 peoplevoted for Carl Green and 67,952 peoplevoted for Maria Lewis. By how many votesdid Carl Green win the election? (Lesson 1.7)A17,082B17,182C22,922D 152,9864. The population of Middleton is sixthousand, fifty-four people. Which of thefollowing shows this number written instandard form? (Lesson 1.2)A654B 6,054C 6,504D 6,5406. Meredith picked 4 times as many greenpeppers as red peppers. If she pickeda total of 20 peppers, how many greenpeppers did she pick? (Lesson 2.2)A4B5C 16D 24P28 Houghton Mifflin Harcourt Publishing Company3. Which comparison sentence best
Lesson 2.4NameCOMMON CORE STANDARD MACC.4.NBT.2.5Estimate ProductsUse place value understanding and properties ofoperations to perform multi-digit arithmetic.Possible estimates are given.Estimate the product by rounding.1. 4 3 472 2. 2 3 6,2543. 9 3 544. 5 3 5,503 2,0005. 3 3 8322,40012,0004506. 6 3 987. 8 3 3,25060024,00030,0008. 7 3 7775,600Find two numbers the exact answer is between.9. 3 3 5671,500 and1,80010. 6 3 7,38111. 4 3 9412. 8 3 68442,000 and48,000360 and4004,800 and5,600 Houghton Mifflin Harcourt Publishing Company13. Isaac drinks 8 glasses of water eachday. He says he will drink 2,920 glassesof water in a year that has 365 days. Is theexact answer reasonable? Explain.Yes. Possibleexplanation: it isreasonable because it’sbetween the estimatesof 2,400 and 3,200.14. Most Americans throw away about1,365 pounds of trash each year. Is itreasonable to estimate that Americansthrow away over 10,000 pounds of trashin 5 years? Explain.No. Possible explanation:a reasonable estimateis between 5,000 and10,000 pounds.Chapter 2P29
Lesson Check (MACC.4.NBT.2.5)1. A theater has 4,650 seats. If the theatersells all the tickets for each of its 5 shows,about how many tickets will the theatersell in all?A2,500C 25,000B 10,000D 30,0002. Washington Elementary has 4,358students. Jefferson High School has 3times as many students as WashingtonElementary. About how many studentsdoes Jefferson High School have?A 16,000C 10,000B 12,000D1,200Spiral Review (MACC.4.OA.1.1, MACC.4.NBT.1.3, MACC.4.NBT.2.4, MACC.4.NBT.2.5)baseballs as Melanie has. Diego has24 autographed baseballs. How manyautographed baseballs does Melaniehave? (Lesson 2.1)envelopes at the office supply store.Each box has 500 envelopes. How manyenvelopes did Mr. Turkowski buy?A 28A200B 20B504C8C2,000D6D 20,0005. Pennsylvania has a land area of44,816 square miles. Which of thefollowing shows the land area ofPennsylvania rounded to the nearesthundred? (Lesson 1.4)(Lesson 2.3)6. The table shows the types of DVDscustomers rented from Sunshine MovieRentals last year.Movie RentalsA 44,000 square milesTypeNumber RentedComedy6,720B 44,800 square milesDrama4,032C 44,900 square milesAction5,540D 45,000 square milesP304. Mr. Turkowski bought 4 boxes ofHow many comedy and action movieswere rented in all last year? (Lesson 1.6)A 13,620C 12,260B 13,000D 10,752 Houghton Mifflin Harcourt Publishing Company3. Diego has 4 times as many autographed
Lesson 2.5NameCOMMON CORE STANDARD MACC.4.NBT.2.5Multiply Using the Distributive PropertyUse place value understanding and properties ofoperations to perform multi-digit arithmetic.Model the product on the grid. Record the product.761. 4 3 19 5652. 5 3 13 50('(' *,4 3 10 5 40 and 4 3 9 5 3640 1 36 5 76Find the product.563. 4 3 14 56. Michael arranged his pennies in thefollowing display. Houghton Mifflin Harcourt Publishing Company514. 3 3 17 5905. 6 3 15 57. A farmer has an apple orchard with thetrees arranged as shown below.If the farmer wants to pick one apple fromeach tree, how many apples will he pick?How many pennies does Michaelhave in all?91 pennies70 applesChapter 2P31
Lesson Check (MACC.4.NBT.2.5)1. The model shows how Maya plantedexpression 5 3 18.flowers in her garden. 2. The model below represents the How many flowers did Maya plant?A 15How many tens will there be in thefinal product?B 18A 5C 8C 30B 6D 9D 45Spiral Review (MACC.4.OA.1.2, MACC.4.NBT.1.2, MACC.4.NBT.2.4, MACC.4.NBT.2.5)3. Center City has a population of twenty4. Central School collected 12,516 poundsone thousand, seventy people. Whichof the following shows the populationwritten in standard form? (Lesson 1.2)of newspaper to recycle. Eastland Schoolcollected 12,615 pounds of newspapers.How many more pounds of newspaperdid Eastland School collect than CentralSchool? (Lesson 1.7)A 21,007B 21,070C 21,077D 21,700A99 poundsB101 poundsC199 pounds5. Allison has 5 times as many baseballcards as football cards. In all, she has 120baseball and football cards. How manybaseball cards does Allison have?(Lesson 2.2)its wings about 53 times each second.About how many times does a rubythroated hummingbird beat its wings in5 seconds? (Lesson 2.4)A20A 25C 250B24B 58D 300C96D 100P326. A ruby-throated hummingbird beats Houghton Mifflin Harcourt Publishing CompanyD 1,099 pounds
Lesson 2.6NameCOMMON CORE STANDARD MACC.4.NBT.2.5Multiply Using Expanded FormUse place value understanding and properties ofoperations to perform multi-digit arithmetic.Record the product. Use expanded form to help.981. 7 3 14 53442. 8 3 43 57 3 14 5 7 3 (10 1 4)5 (7 3 10) 1 (7 3 4)5 70 1 285 983,1923. 6 3 532 59,484 Houghton Mifflin Harcourt Publishing Company5. 4 3 2,371 57. The fourth-grade students at RiversideSchool are going on a field trip. There are68 students on each of the 4 buses. Howmany students are going on the field trip?272 students4,6154. 5 3 923 512,8036. 7 3 1,829 58. There are 5,280 feet in one mile. Hannahlikes to walk 5 miles each week forexercise. How many feet does Hannahwalk each week?26,400 feetChapter 2P33
Lesson Check (MACC.4.NBT.2.5)1. Which expression shows how to multiply2. Sue uses the expression7 3 256 by using expanded form and the(8 3 3,000) 1 (8 3 200) 1 (8 3 9)Distributive Property?to help solve a multiplication problem.Which is Sue’s multiplication problem?A (7 2) 1 (7 3 5) 1 (7 3 6)B (7 3 200) 1 (7 3 500) 1 (7 3 600)A 8 3 329C (7 3 2) 1 (7 3 50) 1 (7 3 600)B 8 3 3,029D (7 3 200) 1 (7 3 50) 1 (7 3 6)C 8 3 3,209D 8 3 3,290Spiral Review (MACC.4.NBT.1.1, MACC.4.NBT.1.2, MACC.4.NBT.2.5)3. What is another way to write 9 3 200?46,000? (Lesson 1.1)A 18 onesA 4 ten thousandsB 18 tensB 4 thousandsC 18 hundredsC 4 hundredsD 18 thousandsD 4 tens5. Chris bought 6 packages of napkins forhis restaurant. There were 200 napkinsin each package. How many napkins didChris buy? (Lesson 2.3)A120B1,200C12,000D 120,0006. Which of the following lists the numbersin order from least to greatest? (Lesson 1.3)A 8,512; 8,251; 8,125B 8,251; 8,125; 8,512C 8,125; 8,512; 8,251D 8,125; 8,251; 8,512 Houghton Mifflin Harcourt Publishing Company(Lesson 1.5)P344. What is the value of the digit 4 in
Lesson 2.7NameCOMMON CORE STANDARD MACC.4.NBT.2.5Multiply Using Partial ProductsPossible estimates are given.Use place value understanding and properties ofoperations to perform multi-digit arithmetic.Estimate. Then record the product.1. Estimate: 1,2001,8002. Estimate:243361,2002401181,4581,2005. Estimate:721381,920 7455,768 2,400 7. 2,4962,800 10.9. Estimate:652342,608 Houghton Mifflin Harcourt Publishing Company 14935 416361,1725,6004. Estimate:640336. Estimate:29334 5003. Estimate:900Estimate:3073392113. A maze at a county fair is made from275 bales of hay. The maze at the statefair is made from 4 times as many bales of2,000 8.Estimate:961321,9228373 97,5333,500 12.11. Estimate:543377,200Estimate:3,801 4,000Estimate: 82235 4,11014. Pedro gets 8 hours of sleep each night.How many hours does Pedro sleep in ayear with 365 days?hay. How many bales of hay are used forthe maze at the state fair?1,100 bales2,920 hoursChapter 2P35
Lesson Check (MACC.4.NBT.2.5)1. A passenger jet flies at an average speedof 548 miles per hour. At that speed, howmany miles does the plane travel in4 hours?2. Use the model to find 3 3 157. A 2,092 milesB 2,112 milesC 2,192 milesD 2,480 milesA 300,171B 300,157C471D451Spiral Review (MACC.4.NBT.1.2, MACC.4.NBT.2.4, MACC.4.NBT.2.5)3. The school fun fair made 1,768 on4. Use the table below.games and 978 on food sales. Howmuch money did the fun fair make ongames and food sales? (Lesson 1.6)A 2,636B 2,646StatePopulationNorth Dakota646,844Alaska698,473Vermont621,760C 2,736Which of the following lists the states fromleast to greatest population? (Lesson 1.3)D 2,746A Alaska, North Dakota, VermontB Vermont, Alaska, North DakotaC North Dakota, Vermont, Alaska5. A National Park covers 218,375 acres.What is this number written in expandedform? (Lesson 1.2)A 200,000 1 10,000 1 8,000 1 3001 70 1 5P366. Last year a business had profits of 8,000. This year its profits are 5 timesas great. What are this year’s profits?(Lesson 2.3)A 4,000B 20,000 1 1,000 1 800 1 30 1 75B 40,000C 218 1 375C 44,000D 218 thousand, 375D 400,000 Houghton Mifflin Harcourt Publishing CompanyD Vermont, North Dakota, Alaska
Lesson 2.8NameMultiply Using Mental MathCOMMON CORE STANDARD MACC.4.NBT.2.5Use place value understanding and properties ofoperations to perform multi-digit arithmetic.Possible strategies are given.Find the product. Tell which strategy you used.1. 6 3 2971,782;Think: 297 5 300 2 36 3 297 5 6 3 (300 2 3)5 (6 3 300) 2 (6 3 3)5 1,800 2 185 1,782use subtraction2. 8 3 25 3 233. 8 3 6044,600; friendlynumbers5. 9 3 199 Houghton Mifflin Harcourt Publishing Company4,832; useaddition6. 20 3 72 3 51,791; usesubtraction4. 50 3 281,400; halvingand doubling7. 32 3 257,200; Commutative 800; halving andPropertydoubling8. Section J in an arena has 20 rows. Each9. At a high-school gym, the bleachers arerow has 15 seats. All tickets cost 18 each.If all the seats are sold, how much moneywill the arena collect for Section J?divided into 6 equal sections. Each sectioncan seat 395 people. How many peoplecan be seated in the gym? 5,4002,370 peopleChapter 2P37
Lesson Check (MACC.4.NBT.2.5)1. Pencils come in cartons of 24 boxes. Aschool bought 50 cartons of pencils forthe start of school. Each box of pencilscost 2. How much did the school spendon pencils?A2. The school also bought 195 packagesof markers. There are 6 markers in apackage. How many markers did theschool buy?A 1,170 240B 1,195B 1,200C 1,200C 2,400D 1,230D 4,800Spiral Review (MACC.4.NBT.2.4, MACC.4.NBT.2.5)3. Alex has 175 baseball cards. Rodney has4. A theater seats 1,860 people. The last3 times as many baseball cards as Alex.6 shows have been sold out. Which isHow many fewer cards does Alex havethan Rodney? (Lesson 2.7)the best estimate of the total number ofpeople attending the last 6 shows?A 700(Lesson 2.4)B 525A fewer than 6,000C 450B about 6,000D 350C fewer than 12,0005. At one basketball game, there were 1,2076. Bill bought 4 jigsaw puzzles. Each puzzlepeople watching. At the next game, therewere 958 people. How many people inall were at the two games? (Lesson 1.6)has 500 pieces. How many pieces are inall the puzzles altogether? (Lesson 2.3)200A2,155B900B2,165C2,000C2,265D 20,000D 10,787P38A Houghton Mifflin Harcourt Publishing CompanyD more than 20,000
PROBLEM SOLVINGLesson 2.9Name HE8B;CÃ EBL?D ÃÄÃ KBJ?IJ;FÃKBJ?FB?97J?EDÃ HE8B;CICOMMON CORE STANDARD MACC.4.OA.1.3Use the four operations with whole numbers tosolve problems.Solve each problem.1. A community park has 6 tables with achessboard painted on top. Each board has8 rows of 8 squares. When a game is set up,4 rows of 8 squares on each board arecovered with chess pieces. If a game is setup on each table, how many total squares areNOT covered by chess pieces?4 3 8 5 3232 3 6 5192 squares2. Jonah and his friends go applepicking. Jonah fills 5 baskets. Eachbasket holds 15 apples. If 4 ofJonah’s friends pick the same amountas Jonah, how many apples do Jonahand his friends pick in all? Draw adiagram to solve the problem.5 3 15 5 755 3 75 5 375 Houghton Mifflin Harcourt Publishing Company3. There are 6 rows of 16 chairs set up for thethird-grade play. In the first 4 rows, 2 chairs oneach end are reserved for teachers. The rest ofthe chairs are for students. How many chairsare there for students?6 3 16 5 964 3 4 5 1696 2 16 5 80375 apples16 chairsTTTT6 rows T TTTTTTTTTTT80 chairsChapter 2P39
Lesson Check (MACC.4.OA.1.3)1. At a tree farm, there are 9 rows of36 spruce trees. In each row, 14 of thespruce trees are blue spruce. How manyspruce trees are NOT blue spruce?A 126C 310B 198D 3242. Ron is tiling a countertop. He needs toplace 54 square tiles in each of 8 rows tocover the counter. He wants to randomlyplace 8 groups of 4 blue tiles each andhave the rest of the tiles be white. Howmany white tiles will Ron need?A 464C 400B 432D32Spiral Review (MACC.4.OA.1.1, MACC.4.NBT.2.4, MACC.4.NBT.2.5)3. Juan reads a book with 368 pages.Savannah reads a book with 172 fewerpages than Juan’s book. How manypages are in the book Savannah reads?(Lesson 1.8)4. Hailey has bottles that hold 678 pennieseach. About how many pennies doesshe have if she has 6 bottles filled withpennies? (Lesson 2.4)A 3,600A 196B 3,900B 216C 4,200C 296D 6,000D 540of flowers, with 28 flowers in each row.How many flowers did Terrence plant?(Lesson 2.6)P406. Kevin has 5 fish in his fish tank.Jasmine has 4 times as many fishas Kevin has. How many fish doesJasmine have? (Lesson 2.1)A 1,664A 15B224B 20C164C 25D36D 30 Houghton Mifflin Harcourt Publishing Company5. Terrence plants a garden that has 8 rows
Lesson 2.10NameCOMMON CORE STANDARD MACC.4.NBT.2.5Multiply 2-Digit Numbers with RegroupingUse place value understanding and properties ofoperations to perform multi-digit arithmetic.Possible estimates are given.Estimate. Then record the product.1501. Estimate:1 1203. Estimate:4804. Estimate:46333238 55326138138256 1104883605. Estimate: 1406. Estimate:4007. Estimate:8008. Estimate:3739 1837833 59538333 1264157608109. Estimate:9439846 Houghton Mifflin Harcourt Publishing Company2402. Estimate:36010. Estimate:573634213. Sharon is 54 inches tall. A tree in herbackyard is 5 times as tall as she is.The floor of her treehouse is at a heightthat is twice as tall as she is. What is thedifference, in inches, between the top ofthe tree and the floor of the treehouse?162 inches21011. Estimate: 64012. Estimate:7233 7938216 63214. Mr. Diaz’s class is taking a field trip to thescience museum. There are 23 studentsin the class, and a student admissionticket is 8. How much will the studenttickets cost? 184Chapter 2P41
Lesson Check (MACC.4.NBT.2.5)1. A ferryboat makes four trips to an islandeach day. The ferry can hold 88 people.If the ferry is full on each trip, how manypassengers are carried by the ferryeach day?A 1762. Julian counted the number of timeshe drove across the Seven Mile Bridgewhile vacationing in the Florida Keys. Hecrossed the bridge 34 times. How manymiles in all did Julian drive crossing thebridge?B 322A 328 milesC 238 milesC 332B 248 milesD 218 milesD 352Spiral Review (MACC.4.NBT.1.2, MACC.4.NBT.2.4, MACC.4.NBT.2.5)3. Sebastian wrote the population of his cityas 300,000 1 40,000 1 60 1 7. Whichof the following shows the population ofSebastian’s city written in standard form?(Lesson 1.2)A 346,7004. A plane flew 2,190 kilometers fromChicago to Flagstaff. Another planeflew 2,910 kilometers from Chicago toOakland. How much farther did the planethat flew to Oakland fly than the planethat flew to Flagstaff? (Lesson 1.7)B 340,670A720 kilometersC 340,607B820 kilometersD 340,067C 5,000 kilometersD 5,100 kilometerscars. Each package contains 5 cars.About how many miniature racing carsdoes Tori buy? (Lesson 2.4)represents the Distributive Property?(Lesson 2.5)A 3345433A15B 93050B32C 5 3 (3 1 4) 5 (5 3 3) 1 (5 3 4)C 100D 150P426. Which of the following equationsD 6 3 (3 3 2) 5 (6 3 3) 3 2 Houghton Mifflin Harcourt Publishing Company5. Tori buys 27 packages of miniature racing
Lesson 2.11NameCOMMON CORE STANDARD MACC.4.NBT.2.5Multiply 3-Digit and 4-Digit Numberswith RegroupingUse place value understanding and properties ofoperations to perform multi-digit arithmetic.Possible estimates are given.Estimate. Then find the product.30,0003.1. Estimate: 4,0002. Estimate:1 2 25,339361,467345,86832,03415,000 27,000 879383,18235 7,0327. Estimate:4,61633 2,854397,500325,40012,0009. Estimate:1,7523610,51210. Estimate:550394,95013. Lafayette County has a populationof 7,022 people. Columbia County’spopulation is 8 times as great asLafayette County’s population. What isthe population of Columbia County?56,176 people15,91016,0006. Estimate: 25,68615,000Estimate:5. Estimate:13,848 Houghton Mifflin Harcourt Publishing Company 7,200 4.Estimate:15,00028,00011. Estimate:6,8393427,3566,3008. Estimate:9483 76,636 30,00012. Estimate: 9,61433 28,84214. A seafood company sold 9,125 poundsof fish last month. If 6 seafood companiessold the same amount of fish, how muchfish did the 6 companies sell lastmonth in all?54,750 poundsChapter 2P43
Lesson Check (MACC.4.NBT.2.5)1. By recycling 1 ton of paper,6,953 gallons of water are saved.2. Esteban counted the number of steps itHow many gallons of water are savedby recycling 4 tons of paper?took him to walk to school. He counted1,138 steps. How many steps does hetake walking to and from school each day?A 24,602 gallonsA2,000B 27,612 gallonsB2,266C 27,812 gallonsC2,276D 28,000 gallonsD 22,616Spiral Review (MACC.4.NBT.1.2, MACC.4.NBT.1.3, MACC.4.NBT.2.4, MACC.4.NBT.2.5)3. A website has 13,406 people registered.What is the word form of this number?(Lesson 1.2)A thirty thousand, four hundred sixB thirteen thousand, four hundred sixtyC thirteen thousand, four hundred sixD thirteen thousand, six hundred six4. In one year, the McAlister family drovetheir car 15,680 miles. To the nearestthousand, how many miles did they drivetheir car that year? (Lesson 1.4)A 15,000 milesB 15,700 milesC 16,000 milesD 20,000 milesgame. Amy scored 1,089 fewer pointsthan Connor. How many points did Amyscore? (Lesson 1.8)A 12,281B 13,281C 15,359D 15,459P446. Lea buys 6 model cars that each cost 15. She also buys 4 bottles of paintthat each cost 11. How much does Leaspend in all on model cars and paint?(Lesson 2.9)A 134B 90C 44D 36 Houghton Mifflin Harcourt Publishing Company5. Connor scored 14,370 points in a
ALGEBRALesson 2.12NameSolve Multistep Problems Using EquationsCOMMON CORE STANDARD MACC.4.OA.1.3Use the four operations with whole numbers tosolve problems.Find the value of n.1. 4 3 27 1 5 3 34 2 94 5 n2. 7 3 38 1 3 3 45 2 56 5 n108 1 5 3 34 2 94 5 n108 1 170 2 94 5 n278 2 94 5 n184 5 n3. 6 3 21 1 7 3 29 2 83 5 n2465n5. 5 3 62 1 6 3 33 2 68 5 n Houghton Mifflin Harcourt Publishing Company4405n7. A bakery has 4 trays with 16 muffinson each tray. The bakery has 3 trays ofcupcakes with 24 cupcakes on each tray.If 15 cupcakes are sold, how many muffinsand cupcakes are left?3455n4. 9 3 19 1 2 3 57 2 75 5 n2105n6. 8 3 19 1 4 3 49 2 39 5 n3095n8. Katy bought 5 packages of stickers with25 stickers in each package. She alsobought 3 boxes of markers with12 markers in each box. If she receives8 stickers from a friend, how many stickersand markers does Katy have now?121 muffins andcupcakes169 stickers andmarkersChapter 2P45
Lesson Check (MACC.4.OA.1.3)1. What is the value of n?2. Which expression has a value of 199?9 3 23 1 3 3 39 2 28 5 nA 4 3 28 1 6 3 17 2 15A240B 4 3 17 1 6 3 28 2 38B296C 4 3 38 1 6 3 15 2 28C 2,310D 4 3 15 1 6 3 38 2 88D 8,162Spiral Review (MACC.4.OA.1.1, MACC.4.NBT.2.5)multiply 9 475 using expanded form andthe Distributive Property? (Lesson 2.6)A (9 3 4) 1 (9 3 7) 1 (9 3 5)B (9 3 4) 1 (9 3 70) 1 (9 3 700)C (9 3 400) 1 (9 3 70) 1 (9 3 5)D (9 3 400) 1 (9 3 700) 1 (9 3 500)4. Which equation best represents thecomparison sentence? (Lesson 2.1)32 is 8 times as many as 4A 32 5 8 3 4B 32 3 8 5 4C 32 5 8 1 4D8 1 4 5 325. Between which pair of numbers is the6. Which of the following statements showsexact product of 379 and 8? (Lesson 2.4)A between 2,400 and 2,500the halving and doubling strategy to find28 3 50? (Lesson 2.8)B between 2,400 and 2,800A 28 3 50 5 14 3 100C between 2,400 and 3,000B 28 3 50 5 (14 3 25) 3 (14 3 25)D between 2,400 and 3,200C 28 3 50 5 (20 3 50) 1 (8 3 50)D 28 3 50 5 2 3 (14 3 25)P46 Houghton Mifflin Harcourt Publishing Company3. Which expression shows how you can
COMMON CORE STANDARDS MACC.4.OA.1.1,MACC.4.OA.1.2, MACC.4.OA.1.3, MACC.4.NBT.2.5NameChapter 2 Extra PracticeLesson 2.1Write a comparison sentence.1. 27 5 3 3 9272. 7 3 8 5 56379is times as many as .568times as many as is .Lessons 2.3, 2.5–2.6Find the product.1. 2 3 700 54. 4 3 19 51,40076Lessons 2.2, 2.92. 6 3 6,000 55. 5 3 216 536,0001,0803. 7 3 13 5916. 9 3 1,362 512,258Check students’ diagrams.Draw a diagram. Write an equation and solve.1. Julia saw 5 times as many cars as trucks in a parkinglot. If she saw 30 cars and trucks altogether in theparking lot, how many were trucks?6 3 t 5 30; t 5 5; Juliasaw 5 trucks.2. Ivan has 6 times as many blue beads as red beads. Houghton Mifflin Harcourt Publishing CompanyHe has 49 red and blue beads in all. How many bluebeads does Ivan have?7 3 r 5 49; r 5 7; 6 3 7 5 42;Ivan has 42 blue beads.3. There are 6 rows with 18 chairs in each row. In thecenter of the chairs, 4 rows of 6 chairs are brown. Therest of the chairs are blue. How many chairs are blue?(6 3 18) 2 (4 3 6) 5 n; 84 5 n;There are 84 blue chairs.C
During the next few weeks, our math class will be learning about multiplying by 1-digit whole numbers. We will investigate strategies for multiplying 2-, 3-, and 4-digit numbers by the numbers 2–9. You can expect to see homework that provides practice with multiplication by 1-digit numb
