1 2 Divide MultiDigit Whole Numbers Warm Up

1 -2 Divide Multi-Digit Whole Numbers Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

1 -2 Divide Multi-Digit Whole Numbers Warm Up Divide. ______ 1. 7)203 ______ 2. 4)777 _____ 3. 9)3, 790 29 194 1 4 4211 9

1 -2 Divide Multi-Digit Whole Numbers Problem of the Day A baker bakes 105 muffins. She puts them into boxes with 6 muffins each. How many boxes can she fill? 17 boxes

1 -2 Divide Multi-Digit Whole Numbers Learn use the algorithm for division and interpret the quotient and remainder in a real-world setting.

1 -2 Divide Multi-Digit Whole Numbers Vocabulary dividend divisor

1 -2 Divide Multi-Digit Whole Numbers Every year students take the school bus to and from school. There about 4, 80, 000 school buses in the United States, and there are 25, 920, 000 total students who take the bus. You can use division to find out how many students are on each bus. To divide multi-digit numbers you can use long division. The number to be divided is the dividend. The divisor is the number by which the dividend is divided. __________ 480, 000)25, 920, 000 Divisor Dividend

1 -2 Divide Multi-Digit Whole Numbers Additional Example 1: Finding Group Size Using Division. There are 435 members of the United States House of Representatives. It the member where split into 15 equal-sized committees, how many representatives would be in each committee? Step 1: Decide where to place the first digit in the xquotient. 15) 435 x no You cannot divide 4 by 15. 15) 435 You of can divide 43 by So, place the yes first digit the quotient in 15. the tens place.

1 -2 Divide Multi-Digit Whole Numbers Continued: Example 1 2 15) 435 - 40 3 Multiply. 15 x 2 Subtract. 43 – 40 Compare. 3 < 15

1 -2 Divide Multi-Digit Whole Numbers Continued: Example 1 29 Multiply. 15 x 9 15) 435 - 30 Step 3: Divide 135 the ones. 15 )Subtract 435 135 -135 - 135 0 So, each committee will have 29 representatives.

1 -2 Divide Multi-Digit Whole Numbers Check It Out: Example 1 A tour operator is organizing 442 people on buses for a day trip. If they wish to separate the people equally on 13 buses, how many people are on each bus? Step 1: Decide where to place the first digit in the quotient. x 13) 442 no You cannot divide 4 by 13. x 13) 442 yes You can divide 44 by 13. So, place the first digit of the quotient in the tens place.

1 -2 Divide Multi-Digit Whole Numbers Continued: Check It Out Example 1 4 13) 442 - 42 2 34 13) 442 - 39 52 -52 Multiply. 13 x 4 Subtract. 44 – 42 Compare. 2 < 13 Multiply. 13 x 4 Subtract 52 -52 0 So, each bus will have 34 people.

1 -2 Divide Multi-Digit Whole Numbers Remember! To estimate a quotient, use compatible numbers.

1 -2 Divide Multi-Digit Whole Numbers Additional Example 2: Finding Numbers of Groups Using Division A store manager has 224 pairs of jeans to stock on the store’s shelves. If each shelf can hold 18 pairs of jeans, how many shelves does the manager need to stock all the pairs of jeans? Step 1: Use an estimate to place the first digit in the quotient. So, the first digit of the quotient will be in the tens place.

1 -2 Divide Multi-Digit Whole Numbers Continued: Step 2: Divide the tens. 18 ) Example 2 22 1 Multiply. 18 x 1 18) 224 Subtract. 22 – 18 - 18 4 Step 3: Divide the ones. 18 ) 44 1 18) 224 - 18 44 - 36 8 Multiply. 18 x 1 Subtract. 44 – 36 Compare 8 < 18

1 -2 Divide Multi-Digit Whole Numbers Continued: Example 2 Twelve shelves will not be enough hold all the jeans. Another shelf will be needed to hold the remaining 8 jeans. The quotient must be rounded up to the next whole number. Since 12 is close to the estimate of 10, the answer is reasonable. So, the manager will need 13 shelves.

1 -2 Divide Multi-Digit Whole Numbers Check It Out: Example 2 A store manager has 338 pairs of jeans to stock on the store’s shelves. If each shelf can hold 24 pairs of jeans, how many shelves does the manager need to stock all the pairs of jeans? Step 1: Use an estimate to place the first digit in the quotient. So, the first digit of the quotient will be in the tens place.

1 -2 Divide Multi-Digit Whole Numbers Continued: Check It Out Example 2 Step 2: Divide the tens. 24 ) 33 1 Multiply. 24 x 1 24) 33 - 24 Subtract. 33 – 24 9 Step 3: Divide the ones. 24 ) 98 14 24) 338 Multiply. 24 x 4 - 24 Subtract 98 -96 98 - 96 Compare 2 < 24 2

1 -2 Divide Multi-Digit Whole Numbers Continued: Check It Out Example 2 Fourteen shelves will not be enough hold all the jeans. Another shelf will be needed to hold the remaining 2 jeans. The quotient must be rounded up to the next whole number. Since 14 is close to the estimate of 17, the answer is reasonable. So, the manager will need 15 shelves.

1 -2 Divide Multi-Digit Whole Numbers Lesson Quizzes Lesson Quiz for Student Response Systems Standard Lesson Quiz

1 -2 Divide Multi-Digit Whole Numbers Lesson Quiz for Student Response Systems 1. A baker is packaging 84 muffins into 12 boxes. How many muffins are in each box? A. 7 muffins B. 8 muffins C. 84 muffins D. 1, 008 muffins

1 -2 Divide Multi-Digit Whole Numbers Lesson Quiz for Student Response Systems 2. Billy worked 24 hours last week and earned $300. How much did Billy earn per hour? A. $12. 00 B. $12. 50 C. $13. 50 D. $7, 200. 00

1 -2 Divide Multi-Digit Whole Numbers Lesson Quiz 1. On one weekend, during fall leaf viewing season, there were 4, 158 visitors on 77 buses in the area. How many visitors were on each bus? 54 Visitors 2. A nail manufacturer produces 8, 625 nails in a day. How many boxes containing 75 nails can the manufacturer pack from that number of 115 boxes nails? 3. Hakeem works 36 hours last week and earned a total of $486. 00. How much did Hakeem earn per hour? $13. 50