Write the ones and the regrouped tens. Add the regrouped tens. tens + 2 tens = tens. Write the tens and the regrouped hundreds.

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If every seat is taken on all flights, how many passengers fly on this airline from New York to London in 1 day? Use place value and regrouping.

1 Name Multiply by 1-Digit Numbers Essential Question How do you multiply by 1-digit numbers? Lesson 1. Number and Operations in Base Ten 5.NBT.B.5 MATHEMATICAL PRACTICES MP1, MP2, MP3 Unlock the Problem Each day an airline flies 9 commercial jets from New York to London, England. Each plane holds 293 passengers. If every seat is taken on all flights, how many passengers fly on this airline from New York to London in 1 day? Use place value and regrouping. STEP 1 Estimate: Think: = STEP 2 Multiply the ones STEP 3 Multiply the tens. 9 3 ones = ones Write the ones and the regrouped tens. The Queen s Guard protects Britain s Royal Family and their residences. Math Talk MATHEMATICAL PRACTICES 1 Describe how to record the 27 ones when you multiply 3 by 9 in Step 2. Image Credits: (tr) one-image Photography/Alamy Images STEP 4 Multiply the hundreds , tens = tens Add the regrouped tens. tens + 2 tens = tens Write the tens and the regrouped hundreds. 9 2 hundreds = hundreds Add the regrouped hundreds. hundreds + 8 hundreds = hundreds Write the hundreds. So, in 1 day, passengers fly from New York to London. MATHEMATICAL PRACTICE 1 Evaluate Reasonableness How can you tell if your answer is reasonable? Chapter 1 37

Example A commercial airline makes several flights each week from New York to Paris, France. If the airline serves 1,978 meals on its flights each day, how many meals are served for the entire week?

2 Example A commercial airline makes several flights each week from New York to Paris, France. If the airline serves 1,978 meals on its flights each day, how many meals are served for the entire week? To multiply a greater number by a 1-digit number, repeat the process of multiplying and regrouping until every place value is multiplied. STEP 1 Estimate. 1,978 7 Think: 2,000 7 = STEP 2 Multiply the ones. 5 1,978 7 STEP 3 Multiply the tens. 55 1, ones = ones Write the ones and the regrouped tens. 7 7 tens = tens Add the regrouped tens. tens + 5 tens = tens Write the tens and the regrouped hundreds. The Eiffel Tower in Paris, France, built for the 1889 World s Fair, was the world s tallest man-made structure for 40 years. STEP 4 Multiply the hundreds. 55 1, STEP 5 Multiply the thousands. 55 1, , hundreds = hundreds Add the regrouped hundreds. hundreds + 5 hundreds = hundreds Write the hundreds and the regrouped thousands. 7 1 thousand = thousands Add the regrouped thousands. thousands + thousands = thousands Write the thousands. Compare your answer to the estimate to see if it is reasonable. So, in 1 week, meals are served on flights from New York to Paris. Image Credits: (tr) Andrew Ward/Photodisc/Getty Images 38

3 Name Share and Show MATH BOARD Complete to find the product Estimate: = 7 9 _ Multiply the ones and regroup _ Multiply the tens and add the regrouped tens. Regroup Multiply the hundreds and add the regrouped hundreds. Estimate. Then find the product. 2. Estimate: 3. Estimate: 4. Estimate: ,925 7 On Your Own MATHEMATICAL PRACTICE 2 Use Reasoning Algebra Solve for the unknown numbers. 39 2,3 5, ,5 7 0,03 Practice: Copy and Solve Estimate. Then find the product SMARTER A commercial airline makes a flight each day from New York to Paris, France. The aircraft seats 524 passengers and serves 2 meals to each passenger per flight. If all the seats are filled each flight, how many meals are served in one week? Chapter 1 Lesson 39

MATHEMATICAL PRACTICES COMMUNICA E CONSTRUCT ARGUMENTS 13. SMARTER What s the Error? The Plattsville Glee Club is sending 8 of its members to a singing contest in Cincinnati, Ohio.

Jermaine s answer is $4,04. Estimate the cost. A reasonable estimate is _. Although Jermaine s answer seems reasonable, neither Brian nor Jermaine solved the problem correctly.

4 MATHEMATICAL PRACTICES COMMUNICA E CONSTRUCT ARGUMENTS 13. SMARTER What s the Error? The Plattsville Glee Club is sending 8 of its members to a singing contest in Cincinnati, Ohio. The cost will be $588 per person. How much will it cost for the entire group of 8 students to attend? Both Brian and Jermaine solve the problem. Brian says the answer is $40,704. Jermaine s answer is $4,04. Estimate the cost. A reasonable estimate is _. Although Jermaine s answer seems reasonable, neither Brian nor Jermaine solved the problem correctly. Find the errors in Brian s and Jermaine s work. Then, solve the problem correctly. Brian Jermaine Correct Answer $ x 8 $ 4 0, $ x 8 $ 4, 0 4 MATHEMATICAL PRACTICE 3 Verify the Reasoning of Others What error did Brian make? Explain. What error did Jermaine make? Explain. 14. DEEPER How could you predict that Jermaine s answer might be incorrect using your estimate? 40

5 Name Multiply by 1-Digit Numbers Estimate. Then find the product. Practice and Homework Lesson 1. COMMON CORE STANDARD 5.NBT.B. Perform operations with multi-digit whole numbers and with decimals to hundredths. 1. Estimate: _ 3,00 2. Estimate: _ 3. Estimate: _ , ,744 Estimate. Then find the product ,257 7., , ,95 Problem Solving 12. Mr. and Mrs. Dorsey and their three children are flying to Springfield. The cost of each ticket is $179. Estimate how much the tickets will cost. Then find the exact cost of the tickets. 13. Ms. Tao flies roundtrip twice yearly between Jacksonville and Los Angeles on business. The distance between the two cities is 2,150 miles. Estimate the distance she flies for both trips. Then find the exact distance. 14. WRITE Math Show how to solve the problem 378 using place value with regrouping. Explain how you knew when to regroup. Chapter 1 41

6 Lesson Check (5.NBT.B.5) 1. Mr. Nielson works 154 hours each month. He works 8 months each year. How many hours does Mr. Nielson work each year? 2. Sasha lives 1,493 miles from her grandmother. One year, Sasha s family made 4 round trips to visit her grandmother. How many miles did they travel in all? Spiral Review (Reviews 4.NBT.A.2, 4.NBT.A.3, 4.NF.C., 5.NBT.A.1) 3. Yuna missed 5 points out of 100 points on her math test. What decimal number represents the part of her math test that she answered correctly? 4. Which symbol makes the statement true? Write >, <, or =. 02,13 20,13 5. The number below represents the number of fans that attended Chicago Cubs baseball games in What is this number written in standard form? 42 (3 1,000,000) + (3 100,000) + (2 100). A fair was attended by 755,082 people altogether. What is this number rounded to the nearest ten thousand? FOR MORE PRACTICE GO TO THE Personal Math Trainer

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One Way. Lesson , 3 6 5 Name Interpret the Remainder Essential Question When solving a division problem, when do you write the remainder as a fraction? Lesson 2.7 Number and Operations Fractions 5.NF.B.3 Also 5.NBT.B.6 MATHEMATICAL