Transcript Divide Multi Digit Whole Numbers

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 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
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
quotient.
x
15) 435
no You cannot divide 4 by 15.
x
15) 435
yes You can divide 43 by 15.
So, place the first digit of the quotient in the tens place.
1-2 Divide Multi-Digit Whole Numbers
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
1-2 Divide Multi-Digit Whole Numbers
Continued: Example 1
Step 3: Divide the ones. 15 ) 435
29
Multiply. 15 x 9
15) 435
- 30
135
- 135
Subtract 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
Step 2: Divide the tens. 13 ) 44
4
Multiply. 13 x 4
13) 442
Subtract. 44 – 42
- 42
Compare.2 < 13
2
Step 3: Divide the ones. 13 ) 442
34
Multiply. 13 x 4
13) 442
- 39
52
Subtract 52-52
-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.
Divide:
Estimate:
224 ÷ 18 = n
200 ÷ 20 = 10
18) 224
So, n ≈ 10.
So, the first digit of the quotient will be in the tens place.
1-2 Divide Multi-Digit Whole Numbers
Continued: Example 2
Step 2: Divide the tens. 18 ) 22
1
Multiply. 18 x 1
18) 224
Subtract. 22 – 18
- 18
4
Step 3: Divide the ones. 18 ) 44
1
18) 224
Multiply. 18 x 1
- 18
44
Subtract. 44 – 36
- 36
Compare 8 < 18
8
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.
Divide:
Estimate:
338 ÷ 24 = n
24) 338
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
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
- 24
98
- 96
2
Multiply. 24 x 4
Subtract 98-96
Compare 2 < 24
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
$300.00. 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