1-2 Divide Multi-Digit Whole Numbers I CAN divide using a multi-digit whole number divisor. I CAN interpret the quotient and remainder in a real-world

1-2 Divide Multi-Digit Whole Numbers

I CAN divide using a multi-digit whole number divisor.I CAN interpret the quotient and remainder in a real-world setting.


Vocabulary

dividend

divisor


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

__________


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 - 30

13

Multiply. 15 x 2Subtract. 43 – 30Compare.13 < 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


You Try! 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


Step 2: Divide the tens. 13 ) 44

13) 442 3

- 39

5

Multiply. 13 x 3Subtract. 44 – 39Compare.5 < 13

Step 3: Divide the ones. 13 ) 442

Multiply. 13 x 4

Subtract 52-52

So, each bus will have 34 people.

Continued: You Try! Example 1

13) 442

34

- 39

52-52

0


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?

18) 224 12

- 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.

So, the manager will need 13 shelves.



You Try! 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?

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.

So, the manager will need 15 shelves.

Continued: You Try! Example 2


Reflection

CAN YOU divide using a multi-digit whole number?

CAN YOU interpret the quotient and remainder in a real-world setting.


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?

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

nails?

3. Hakeem works 36 hours last week and earned a

total of $486.00. How much did Hakeem earn

per hour?

115 boxes

54 Visitors

$13.50


HOMEWORK

p. 12: 1

-5,7-9,14,16,17

Documents

1-2 Divide Multi-Digit Whole Numbers I CAN divide using a multi-digit whole number divisor. I CAN interpret the quotient and remainder in a real-world