1-2 divide multi-digit whole numbers learn use the algorithm for division and interpret the quotient...

1-2 Divide Multi-Digit Whole Numbers

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


Vocabulary

dividend

divisor


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.

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

__________

You can use division to find out how many students are on each bus.


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?

no You cannot divide 4 by 15.15) 435

x

15) 435 x

yes You can divide 43 by 15.

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

So, place the first digit of the quotient in the tens place.


Step 2: Divide the tens. 15 ) 43

2

15) 435 - 40

3

Multiply. 15 x 2Subtract. 43 – 40Compare.3 < 15

Continued: Example 1


29

15) 435 - 30

135- 135

0

Multiply. 15 x 9

Subtract 135-135

So, each committee will have 29 representatives.


Step 3: Divide the ones. 15 ) 435


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?

no You cannot divide 4 by 13.

13) 442 x

yes You can divide 44 by 13.

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

So, place the first digit of the quotient in the tens place.

13) 442 x



13) 442 4

- 42

2

Multiply. 13 x 4Subtract. 44 – 42Compare.2 < 13


Multiply. 13 x 4

Subtract 52-52

So, each bus will have 34 people.

Continued: Check It Out Example 1

13) 442

34

- 39

52-52

0


To estimate a quotient, use compatible numbers.

Remember!

1-2 Divide Multi-Digit Whole Numbers Additional Example 2: Finding Numbers of Groups

Using DivisionA 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 pairsof jeans?

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

Divide: 224 ÷ 18 = n 18) 224Estimate: 200 ÷ 20 = 10 So, n ≈ 10.

So, the first digit of the quotient will be in the tens place.



18) 224 - 18

1

4

Multiply. 18 x 1 Subtract. 22 – 18


Multiply. 18 x 1

Subtract. 44 – 36

Compare 8 < 18

18) 224 1

- 18 44- 36 8



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.



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) 338Estimate: 340 ÷ 20 = 17 So, n ≈ 17.

So, the first digit of the quotient will be in the tens place.



- 2424) 33

1

9

Multiply. 24 x 1

Subtract. 33 – 24


Multiply. 24 x 4

Subtract 98-96

Compare 2 < 24


24) 338

14

- 24

98- 96

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 learn use the algorithm for division and interpret the quotient...

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