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Published byPhilip Stevens Modified over 7 years ago

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Learn use the algorithm for division and interpret the quotient and remainder in a real-world setting.

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Vocabulary dividend divisor

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**Every year students take the school bus to and from school**

Every year students take the school bus to and from school. There are 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

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**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 quotient. 15) 435 x no You cannot divide 4 by 15. 15) 435 x yes You can divide 43 by 15. So, place the first digit of the quotient in the tens place. 4

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Continued: Example 1 Step 2: Divide the tens. 15 ) 43 2 15) 435 - 40 3 Multiply. 15 x 2 Subtract. 43 – 40 Compare.3 < 15

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

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**Step 1: Decide where to place the first digit in the quotient.**

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. 13) 442 x no You cannot divide 4 by 13. 13) 442 x yes You can divide 44 by 13. So, place the first digit of the quotient in the tens place. 7

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**Continued: Check It Out Example 1**

Step 2: Divide the tens. 13 ) 44 13) 442 4 2 Multiply. 13 x 4 Subtract. 44 – 42 Compare.2 < 13 Step 3: Divide the ones. 13 ) 442 13) 442 34 - 39 52 -52 Multiply. 13 x 4 Subtract 52-52 So, each bus will have 34 people.

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**To estimate a quotient, use compatible numbers.**

Remember!

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**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. Divide: 224 ÷ 18 = n 18) 224 Estimate: 200 ÷ 20 = 10 So, n ≈ 10. So, the first digit of the quotient will be in the tens place.

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

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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.

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**Step 1: Use an estimate to place the first digit in the quotient.**

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. Divide: 338 ÷ 24 = n 24) 338 Estimate: 340 ÷ 20 = 17 So, n ≈ 17. So, the first digit of the quotient will be in the tens place. 13

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**Continued: Check It Out Example 2**

Step 2: Divide the tens. 24 ) 33 - 24 24) 33 1 9 Multiply. 24 x 1 Subtract. 33 – 24 Step 3: Divide the ones. 24 ) 98 24) 338 14 - 24 98 - 96 2 Multiply. 24 x 4 Subtract 98-96 Compare 2 < 24

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**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.

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