Topic 3 Multiplying Whole numbers Name Test Date
1. Jennie has 2 cats, both of which just had kittens. Zippy has twice as many kittens as Fuzzy. Jennie s friends adopt 5 of the kittens. What do you need to know to find out how many of the kittens Jennie keeps? A The total number of kittens B How old the kittens are now C How many friends Jennie has D The date when the kittens were born 2. Pedro s weekly salary is $372.29. He has $45.50 taken out of his salary to pay for insurance and savings. How much is left for Pedro s paycheck? Daily Common Core Review 3-1 4. A marathon is a running race that is about 26.219 miles long. What is the value of the 9 in this distance? 5. Name the shape below. 6. Write five and four hundred three thousandths in standard form. A $226.69 B $326.79 C $333.39 D $367.74 3. An animal rescue center has 51 reptiles, 34 birds, and 16 mammals. Which is the best estimate of the total number of animals? A 120 B 100 C 70 D 50 D 3 1
Multiplication Properties In 1 through 5, write the multiplication property used in each equation. 1. 53 3 6 5 6 3 53 Practice 3-1 2. 0 3 374,387 5 0 3. 5 3 (11 3 4) 5 (5 3 11) 3 4 4. 42 3 1 5 42 5. 14 3 5 5 5 3 14 6. Chan bought 2 large frozen yogurts at $1.50 each and 1 small bottle of water for $1.00. How much did she pay in total? 7. Dan has 4 shelves. He has exactly 10 books on each shelf. Judy has 10 shelves. She has exactly 4 books on each shelf. Who has more books? Explain. 8. If 3 3 8 3 12 5 8 3 3 3 n, what is the value of n? A 3 B 8 C 12 D 18 9. Write a definition for the Associative Property of Multiplication in your own words and explain how you would use it to compute 4 3 25 3 27 mentally. P 3 1
1. Which multiplication property is used in the following? 1,315 3 0 5 0 A Zero Property of Multiplication B Identity Property of Multiplication C Associative Property of Multiplication D Commutative Property of Multiplication Quick Check 3-1 2. Which multiplication property tells you that the following is true? 7 3 (2 3 10) 5 (7 3 2) 3 10 A Zero Property of Multiplication B Identity Property of Multiplication C Associative Property of Multiplication D Commutative Property of Multiplication 3. Marcy is trying to solve the following problem. What is the missing number? 82 3 5 54 3 82 A 0 B 1 C 54 D 82 4. Writing to Explain One group of adults goes to a movie. There are 4 people in the group. They each pay $6.00 for the movie. One group of children also goes to a movie. There are 6 children in the group. They each pay $4.00 for a movie. Does the price the group of adults pays for movie tickets equal the price the group of children pays for movie tickets? Explain. Describe the multiplication properties you use to get your answer. Q 3 1
1. Roberto and Adam have the same number of pennies. Roberto put his pennies in 2 stacks of 6 pennies each. Adam puts his pennies in 6 stacks. How many pennies are in each of Adam s stacks? A 2 B 4 C 8 D 12 2. The table shows the scores for four divers in a diving meet. Diving Meet Scores Diver Score Jamal 25.050 Kelly 20.505 Luis 25.005 Marco 20.055 Daily Common Core Review 3-2 4. Fill in each box to make an example of the given property. Identity Property of Addition Identity Property of Multiplication 25 1 5 25 25 3 5 25 5. A football stadium has 81,296 seats. Then the stadium s owner adds 10,795 seats. What is the new total number of seats? 6. A copy machine can make 36 copies in 1 minute. How many copies can the machine make in 10 minutes? Which diver is in third place? A Jamal B Kelly C Luis D Marco 3. Kim s farm is 1,292 acres. Jack s farm is 1,104 acres. Which is the best estimate of the difference in size between Kim s farm and Jack s farm? A 400 acres B 200 acres C 100 acres D 90 acres D 3 2
Multiplying by Powers of 10 Use mental math to find each product. 1. 100 3 20 5 2. 0 3 50 3 800 5 Practice 3-2 3. 500 3 40 5 4. 120 3 50 5 5. 60 3 70 3 10 1 5 6. 9,000 3 80 5 7. 10 2 3 10 3 15 8. 1,800 3 20 3 0 5 9. 30 3 20 5 10. 1,400 3 2,000 5 11. 7,000 3 50 3 1 5 12. 10 3 3 200 3 30 5 13. A googol is a large number that is the digit one followed by one hundred zeros. If you multiply a googol by 100, how many zeros will that product have? 14. Gregorios drives 200 miles per day for 10 days. How many miles did he drive in all? 15. If a 3 b 3 c 5 0, and a and b are integers greater than 10, what must c equal? A 0 B 1 C 2 D 10 16. SungHee empties her piggy bank and finds that she has 200 quarters, 150 dimes, and 300 pennies. How much money does she have? Explain. P 3 2
Use mental math to find each product. Quick Check 3-2 1. Kristin has 30 boxes. Each box has 800 greeting cards. How many greeting cards are in the boxes? A 24 B 240 C 2,400 D 24,000 2. 3,000 3 10 3 A 30,000,000 B 3,000,000 C 30,000 D 3,000 3. Which is a possible solution for 3 3 5 16,000? A 80 3 20 3 1 B 800 3 200 3 0 C 800 3 2 3 1 D 80 3 20 3 10 4. Writing to Explain A book publisher is shipping a new book in boxes of 200. If 30 boxes fit in 1 shipping crate, how many books are in 20 shipping crates? Explain the mental math you used to solve the problem. Q 3 2
1. Mr. Johnson works 80 hours each pay period. His salary is $20 per hour. How much money does he earn in 10 pay periods? A $160,000 Daily Common Core Review 3-3 4. Each day, a car goes through the intersection of Main Street and Oak Road 300 times. How many times does a car go through this intersection in 300 days? B $16,000 C $1,600 D $160 2. Marti, Joel, Oscar, Lucas, and Quentin each ate 2,000 calories per day for 6 days. What is the total number of calories they ate? 5. Write a number sentence to show the Associative Property of Addition. A 10,000 B 12,000 C 30,000 D 60,000 3. Emily buys a CD for $12.07, including tax. She gives the clerk a $20 bill. How much change should she receive? 6. A restaurant serves 42 chicken dinners and 18 steak dinners. Let m be the difference between the numbers of chicken and steak dinners. a. Draw a picture you could use to find m. A $8.93 B $8.07 C $7.93 b. What is the value of m? D $7.07 D 3 3
Multiplying 2-Digit Numbers by Multiples of 10 Find each product. Practice 3-3 1. 68 3 20 5 2. 55 3 100 5 3. 150 3 21 5 4. 90 3 99 5 5. 87 3 400 5 6. 19 3 70 5 7. 39 3 50 5 8. 47 3 290 5 9. 70 3 27 5 10. 60 3 2,100 3 23 5 11. 17 3 610 5 12. 88 3 300 5 13. Give three numbers whose product is 9,000. 14. About how much would it cost to buy 4 CD/MP3 players and 3 MP3 players? 15. Which is the product of 2 3 19 3 50? Electronics Prices CD player $ 74.00 MP3 player $ 99.00 CD/MP3 player $199.00 AM/FM radio $ 29.00 A 1,900 B 1,800 C 190 D 185 16. Find the product of 27 60. Then explain how you would use mental math to find the product of 27 600. P 3 3
1. Lance has 12 boxes of comic books. Each box has 28 comic books in it. Using rounding to estimate, about how many comic books does Lance have? A 350 B 325 C 300 D 250 Quick Check 3-3 2. Find the product. 92 3 30 A 2760 B 2,706 C 1,840 D 276 3. Which two numbers have an estimated product of about 600? A 32 3 22 B 34 3 28 C 62 3 17 D 59 3 22 4. Writing to Explain Tickets for a concert cost $29.00. The greatest number of tickets one person can buy is 9. If 28 people each buy 9 tickets for $29.00 per ticket, about what is the total cost of all the tickets? Is your estimate an overestimate or an underestimate? Explain. Q 3 3
1. A delivery truck travels 346 miles each day for 5 days. What is the total number of miles the truck travels? A 1,500 miles B 1,523 miles C 1,700 miles D 1,730 miles Daily Common Core Review 3-4 4. One cubic foot of concrete weighs about 145 pounds. What is the weight of 9 cubic feet of concrete? 5. The graph shows the number of states the students in Mr. Robb s class have visited. 2. A group of 106 campers sits in a big circle. The camp leader tells the campers to say hello to the person sitting next to them on each side. What is the total number of times the campers say hello? A 226 B 212 C 206 D 202 Number of Students 10 8 6 4 2 Students Travels 0 2 3 4 5 6 Number of States Visited How many students have visited at least 4 states? 3. If each shaded square is 1, what 10 number does the model show? 6. Write this number in word form: 40.302 A 0.13 B 1.3 C 3.7 D 13.7 D 3 4
Multiplying 2-Digit by 2-Digit Numbers Find each product. Estimate to check that your answer is reasonable. 1. 56 3 34 2. 45 3 76 3. 35 3 15 Practice 3-4 4. 47 3 94 5. 64 3 51 6. 47 3 30 7. 56 3 19 8. 92 3 49 9. To pay for a sofa, Maddie made a payment of 64 dollars each month for one year. How much did the sofa cost? 10. Katie is in charge of buying juice for the teachers breakfast party. If one teacher will drink between 18 and 22 ounces of juice, and there are 32 teachers, which is the best estimate for the amount of juice Katie should buy? A about 200 ounces B about 400 ounces C about 600 ounces D about 800 ounces 11. Is 7,849 a reasonable answer for 49 3 49? Why or why not? P 3 4
Quick Check 3-4 Find the product. 1. 24 4 1 A 884 B 960 C 984 D 1,060 2. At a basketball game, there were 37 rows of bleachers. There were 28 people sitting in each row. How many people were in the 37 rows of bleachers? A 896 B 936 C 986 D 1,036 3. Writing to Explain Sharon is building a rectangular patio. The patio will be 18 bricks wide and 29 bricks long. She has 500 bricks. Does she have enough bricks to build the patio? Explain. Show your work. 18 bricks 29 bricks Q 3 4
1. A parking lot has 68 rows with 24 parking spaces in each row. What is the total number of parking spaces? A 1,632 B 1,502 C 408 D 272 2. Sharla and Tim each build a brick wall using the same-size bricks. Sharla s wall is 28 rows with 14 bricks each. Tim s wall is 14 rows with 28 bricks each. Which statement about Sharla s wall is correct? A It has more bricks than Tim s wall. B It has fewer bricks than Tim s wall. C It has the same number of bricks as Tim s wall. D It has twice as many bricks as Tim s wall. 3. The ABC Company has 67,590 workers. The Smith Company has 5,348,299 workers. How many workers do the two companies have in all? Daily Common Core Review 3-5 4. The sports field at Patton Elementary School is shaped like a rectangle. The field is 72 yards long and 46 yards wide. What is the area of the field in square yards? 5. Gina is making a square tablecloth. 54 in. What is the least number of inches of trim Gina will need to go all the way around the edge of the tablecloth? 6. Round to the place of the underlined digit: 8,491,038,205. A 5,305,789 B 5,415,889 C 11,097,299 D 12,107,299 D 3 5
Multiplying Greater Numbers Find each product. Estimate to check that your answer is reasonable. 1. 556 3 34 2. 234 3 75 3. 395 3 76 Practice 3-5 4. 483 3 57 5. 628 3 33 6. 154 3 35 7. 643 3 49 8. 536 3 94 9. In a class of 24 students, 13 students sold over 150 raffle tickets each, and the rest of the class sold about 60 raffle tickets each. The class goal was to sell 2,000 tickets. Did they reach their goal? Explain. 10. Player A s longest home run distance is 484 ft. If Player A hits 45 home runs at his longest distance, what would the total distance be? 11. Player B s longest home run distance is 500 ft. There are 5,280 ft in 1 mi. How many home runs would Player B need to hit at his longest distance for the total to be greater than 1 mi? 12. Which equation shows how you can find the number of minutes in one year? A 60 3 24 3 365 B 60 3 60 3 24 C 60 3 365 D 60 3 60 3 365 13. Write a real-world problem where you would have to multiply 120 and 75. P 3 5
Quick Check 3-5 Find each product. 1. A company ships clothes hangers in packages of 144. In one shipment, they shipped 82 packages of clothes hangers. How many clothes hangers are there in 82 packages? A 11,408 B 11,508 C 11,708 D 11,808 2. 584 63 A 39,762 B 36,792 C 34,592 D 5,256 3. Writing to Explain The table shows the average speed in kilometers per hour for two different racecars, A and B. In 12 hours, how much farther will Car B go than Car A? Show your work. Car Average Speed (km/h) A 208 B 215 Q 3 5
1. Which answer is equal to 10 3? A 30 B 100 C 300 D 1,000 Daily Common Core Review 3-6 3. Delfina is moving to a new house, and she is packing some books in a box that measures 10 inches tall by 10 inches wide by 12 inches deep. Write the measurements of the box in expanded form, and using exponents. 2. If 2,347,895 is rounded to the nearest hundred thousand, which of the following numbers will it be? A 2,350,000 B 2,348,000 C 2,300,000 D 2,000,000 4. Write the following numbers using exponents and in standard form. 5 10 10 10 10 10 8 D 3 6
Problem Solving: Draw a Picture and Write an Equation Draw a picture and write an equation. Then solve. 1. When Mary was born, she weighed 8 pounds. When she was 10 years old, she weighed 10 times as much. How much did she weigh when she was 10 years old? Practice 3-6 2. Sandi is 13 years old. Karla is 3 times Sandi s age. How old is Karla? 3. Hwong can fit 12 packets of coffee in a small box and 50 packets of coffee in a large box. Hwong has 10 small boxes and would like to reorganize them into large boxes. Which boxes should he use? Explain. 4. Daniel has 12 tennis balls. Manuel has twice as many tennis balls as Daniel. Kendra has twice as many balls as Manuel. How many tennis balls do they have in all? A 24 B 36 C 84 D 96 5. William travels only on Saturdays and Sundays and has flown 400 miles this month. Jason travels every weekday and has flown 500 miles this month. Who travels more miles per day for this month? Explain. P 3 6
Quick Check 3-6 1. Which equation can you use to solve the following problem? Shaney earns $4 an hour when she babysits. If she babysits for 5 hours, how much money will she earn? A 4 1 5 5 x B x 5 5 4 4 C 4 3 5 5 x D 5 2 4 5 x 2. Which equation can you use to solve the following problem? A grocery store received a shipment of cereal. There were 24 boxes of cereal in each shipping box. If the store received 18 shipping boxes, how many boxes of cereal did they receive? A c 5 24 3 18 B c 5 24 2 18 C 24 2 c 5 18 D 24 3 c 5 18 3. Writing to Explain Draw a picture and write an equation to solve the following problem. For a school art project, students painted ceramic tiles to make a mural on a wall. If 92 students each painted 3 tiles for the mural, how many tiles were in the mural? Q 3 6