Lesson 1.7. Multiply by Multi-Digit Numbers Essential Question How do you multiply by multi-digit numbers? Unlock the Problem. Name.

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1 Name Multiply by Multi-Digit Numbers Essential Question How do you multiply by multi-digit numbers? Lesson 1.7 Number and Operations in Base Ten 5.NBT.B.5 MATHEMATICAL PRACTICES MP1, MP4, MP6 Unlock the Problem A tiger can eat as much as 40 pounds of food at a time but it may go for several days without eating anything. Suppose a Siberian tiger in the wild eats an average of 18 pounds of food per day. How much food will the tiger eat in 28 days if he eats that amount each day? Use place value and regrouping. STEP 1 Estimate: Think: = STEP 2 Multiply by the ones _ 28 8 ones = _ ones STEP 3 Multiply by the tens. Houghton Mifflin Harcourt Publishing Company Image Credits: (tr) Mike Hill/Alamy STEP 4 Add the partial products _ _ 28 1 ten = _ tens, or _ ones So, on average, a Siberian tiger may eat pounds of food in 28 days. Use patterns of zeros to find the product of multiples of = = = 1, = 1, = 12,000 Chapter 1 43

2 Example A Siberian tiger was observed sleeping minutes during the course of one day. If he slept for that long every day, how many minutes would he sleep in one year? Assume there are 365 days in one year. STEP 1 Estimate: 365 Think: 1, = STEP 2 Multiply by the ones. 5 ones = ones STEP 3 Multiply by the tens. 6 tens = tens, or ones STEP 4 Multiply by the hundreds. STEP 5 Add the partial products. 3 hundreds = hundreds, or ones So, the tiger would sleep minutes in one year. Math Talk MATHEMATICAL PRACTICES 6 Are there different numbers you could have used in Step 1 to find an estimate that is closer to the actual answer? Explain. Houghton Mifflin Harcourt Publishing Company Image Credits: (tr) Mauro Rinaldi/Alamy Images 44

3 Name Share and Show MATH BOARD NComplete to find the product x _ 64 _ x _ 571 _ Estimate. Then find the product. 3. Estimate: 4. Estimate: 5. Estimate: _ On Your Own Estimate. Then find the product. 6. Estimate: 7. Estimate: 8. Estimate: _ , Practice: Copy and Solve Estimate. Then find the product. Houghton Mifflin Harcourt Publishing Company DEEPER One case of books weighs 35 pounds. One case of magazines weighs 23 pounds. A book store wants to ship 72 cases of books and 94 cases of magazines to another store. What is the total weight of the shipment? Chapter 1 Lesson 7 45

4 MATHEMATICAL PRACTICES M Use the table for How much sleep does a jaguar get in 1 year? 19. SMARTER In 1 year, how many more hours of sleep does a giant armadillo get than a platypus? 20. MATHEMATICAL PRACTICE 1 Make Sense of Problems Owl monkeys sleep during the day, waking about 15 minutes after sundown to find food. At midnight, they rest for an hour or two, then continue to feed until sunrise. They live about 27 years. How many hours of sleep does an owl monkey that lives 27 years get in its lifetime? WRITE Animal Sleep Amounts Animal Amount (usual hours per week) Jaguar 77 Giant Armadillo 127 Owl Monkey 119 Platypus 98 Three-Toed Sloth 101 Math Show Your Work 21. DEEPER Tickets to a museum cost $17 each. For a field trip, the museum offers a $4 discount on each ticket. How much will tickets for 32 students cost? 22. SMARTER Rachel earns $21 per day. For 22a 22d, select or for each statement. 22a. Rachel earns $421 for 20 days of work. 22b. Rachel earns $315 for 15 days of work. 22c. Rachel earns $273 for 13 days of work. 22d. Rachel earns $250 for 13 days of work. Houghton Mifflin Harcourt Publishing Company Image Credits: (tr) Jany Sauvanet/Science Source 46

5 Name Multiply by Multi-Digit Numbers Estimate. Then find the product. Practice and Homework Lesson 1.7 COMMON CORE STANDARD 5.NBT.B.5 Perform operations with multi-digit whole numbers and with decimals to hundredths. 1. Estimate: 4, Estimate: 3. Estimate: , , Problem Solving 7. A company shipped 48 boxes of canned dog food. Each box contains 24 cans. How many cans of dog food did the company ship in all? 8. There were 135 cars in a rally. Each driver paid a $25 fee to participate in the rally. How much money did the drivers pay in all? Houghton Mifflin Harcourt Publishing Company 9. WRITE Math Write a problem multiplying a 3-digit number by a 2-digit number. Show all the steps to solve it by using place value and regrouping and by using partial products. Chapter 1 47

6 Lesson Check (5.NBT.B.5) 1. A chessboard has 64 squares. At a chess tournament 84 chessboards were used. How many squares are there on 84 chessboards? 2. Last month, a manufacturing company shipped 452 boxes of ball bearings. Each box contains 48 ball bearings. How many ball bearings did the company ship last month? Spiral Review (5.NBT.A.1, 5.NBT.A.2, 5.NBT.B.5, 5.NBT.B.6) 3. What is the standard form of the number three million, sixty thousand, five hundred twenty? 4. What number completes the following equation? 8 (40 7) = (8 ) (8 7) 5. The population of Clarksville is about 6,000 people. What is the population written as a whole number multiplied by a power of ten? 6. A sporting goods store ordered 144 cans of tennis balls. Each can contains 3 balls. How many tennis balls did the store order? 48 FOR MORE PRACTICE GO TO THE Personal Math Trainer Houghton Mifflin Harcourt Publishing Company

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