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1-2 Divide Multi-Digit Whole Numbers
Warm Up
Lesson Presentation
Problem of the Day
Lesson Quizzes
1-2 Divide Multi-Digit Whole Numbers
Warm UpDivide.
1. 7)203
2. 4)777
3. 9)3,790
______
______
_________
29
194 14
42119
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 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.
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?
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.
1-2 Divide Multi-Digit Whole Numbers
Step 2: Divide the tens. 15 ) 43
2
15) 435 - 40
3
Multiply. 15 x 2Subtract. 43 – 40Compare.3 < 15
Continued: Example 1
1-2 Divide Multi-Digit Whole Numbers
29
15) 435 - 30
135- 135
0
Multiply. 15 x 9
Subtract 135-135
So, each committee will have 29 representatives.
Continued: Example 1
Step 3: Divide the ones. 15 ) 435
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?
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
1-2 Divide Multi-Digit Whole Numbers
Step 2: Divide the tens. 13 ) 44
13) 442 4
- 42
2
Multiply. 13 x 4Subtract. 44 – 42Compare.2 < 13
Step 3: Divide the ones. 13 ) 442
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
1-2 Divide Multi-Digit Whole Numbers
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.
1-2 Divide Multi-Digit Whole Numbers
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
Multiply. 18 x 1
Subtract. 44 – 36
Compare 8 < 18
18) 224 1
- 18 44- 36 8
Continued: Example 2
1-2 Divide Multi-Digit Whole Numbers
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.
Continued: Example 2
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.
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.
1-2 Divide Multi-Digit Whole Numbers
Step 2: Divide the tens. 24 ) 33
- 2424) 33
1
9
Multiply. 24 x 1
Subtract. 33 – 24
Step 3: Divide the ones. 24 ) 98
Multiply. 24 x 4
Subtract 98-96
Compare 2 < 24
Continued: Check It Out Example 2
24) 338
14
- 24
98- 96
2
1-2 Divide Multi-Digit Whole Numbers
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.
Continued: Check It Out Example 2
1-2 Divide Multi-Digit Whole Numbers
Standard Lesson Quiz
Lesson Quizzes
Lesson Quiz for Student Response Systems
1-2 Divide Multi-Digit Whole Numbers
1. A baker is packaging 84 muffins into 12 boxes. How many muffins are in each box?
A. 7 muffinsB. 8 muffinsC. 84 muffinsD.1,008 muffins
Lesson Quiz for Student Response Systems
1-2 Divide Multi-Digit Whole Numbers
2. Billy worked 24 hours last week and earned $300.00. How much did Billy earn per hour?
A. $12.00B. $12.50 C. $13.50D. $7,200.00
Lesson Quiz for Student Response Systems
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?
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
