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Transcript of Splash Screen Chapter 15 Divide by One-Digit Numbers Click the mouse or press the space bar to...
Chapter 15Divide by One-Digit Numbers
Click the mouse or press the space bar to continue.
Lesson 15-1 Divide Multiples of 10, 100, and 1,000
Lesson 15-2 Estimate Quotients
Lesson 15-3 Two-Digit Quotients
Lesson 15-4 Problem-Solving Strategy: Work Backwards
Lesson 15-5 Three-Digit Quotients
Lesson 15-6 Problem-Solving Investigation: Choose the Best Strategy
Lesson 15-7 Divide Money
15Divide by One-Digit Numbers
Five-Minute Check (over Chapter 14)
Main Idea
California Standards
Example 1: Use Models to Divide
Example 2: Divide Multiples
Example 3: Divide Multiples
15-1 Divide Multiples of 10, 100, and 1,000
15-1 Divide Multiples of 10, 100, and 1,000
• I will learn to divide multiples of 10, 100, and 1,000.
15-1 Divide Multiples of 10, 100, and 1,000
Standard 3NS2.5 Solve division problems in which a multi-digit number is evenly divided by a one-digit number (135 ÷ 5 = ___ ).
Step 1 Show 600 as 60 tens.
Find 600 ÷ 3.
15-1 Divide Multiples of 10, 100, and 1,000
Step 2 Divide the 60 tens into 3 equal groups.
15-1 Divide Multiples of 10, 100, and 1,000
200 200 200
Answer: 600 ÷ 3 = 200
15-1 Divide Multiples of 10, 100, and 1,000
Find 800 ÷ 2.
A. 250
B. 400
C. 300
D. 500
The stadium has 1,800 seats divided equally into 6 sections. How many seats are in each section?
Find 1,800 ÷ 6. Use basic facts and patterns.
Answer: So, there are 300 seats in each section.
15-1 Divide Multiples of 10, 100, and 1,000
18 ÷ 6 = 3
180 ÷ 6 = 30
1,800 ÷ 6 = 300
18 ones ÷ 6 = 3 ones
18 tens ÷ 6 = 3 tens
18 hundreds ÷ 6 = 3 hundreds
15-1 Divide Multiples of 10, 100, and 1,000
A class split up into 3 teams and had a bake sale which made $600. How much did each team earn if the money was split evenly between the teams?
A. $200
B. $300
C. $150
D. $100
How many seats are in each section if 4,200 seats are divided equally into 7 sections?
15-1 Divide Multiples of 10, 100, and 1,000
Answer: So, there are 600 seats in each section.
42 ÷ 7 = 6
420 ÷ 7 = 60
4,200 ÷ 7 = 600
Use the basic fact.
Use the pattern of zeros.
Find 4,200 ÷ 7.
15-1 Divide Multiples of 10, 100, and 1,000
Find 2,500 ÷ 5.
A. 350
B. 400
C. 500
D. 600
Five-Minute Check (over Lesson 15-1)
Main Idea
California Standards
Example 1: Estimate by Rounding
Example 2: Real-World Example
15-2 Estimate Quotients
15-2 Estimate Quotients
Standard 3NS2.5 Solve division problems in which a multi-digit number is evenly divided by a one-digit number (135 ÷ 5 = ___ ).
Standard 3MR2.1 Use estimation to verify the reasonableness of calculated results.
There are 238 children in the school. If there are 8 classrooms, about how many students are there in each class?
15-2 Estimate Quotients
You need to estimate 238 ÷ 8 or 8 238.
Step 1 Round 238 to the nearest ten that has a basic fact you can use.
238 ÷ 8 240 ÷ 8
Step 2 Write the basic fact you will use to divide.
15-2 Estimate Quotients
24 ÷ 8 = 3
Step 3 Use the basic fact and patterns to divide.
24 ÷ 8 = 3 240 ÷ 8 = 30
Answer: So, 238 ÷ 8 is about 30. About 30 students are in each class.
15-2 Estimate Quotients
A community center wants to break up its 103 members into teams of 5 for a basketball tournament. About how many teams will the tournament have?
A. about 20 teams
B. about 30 teams
C. about 15 teams
D. about 25 teams
15-2 Estimate Quotients
A theater sold 1,113 tickets for 4 shows. About how many tickets were sold for each show?
You need to estimate 1,113 ÷ 4 or 4 1,113.
Step 1 Round 1,113 to the nearest hundred that has a basic fact you can use.
1,113 ÷ 4 1,200 ÷ 4
15-2 Estimate Quotients
Step 2 Write the basic fact you will use to divide.
12 ÷ 4 = 3
Step 3 Use the basic fact and patterns to divide.
12 ÷ 4 = 3 1,200 ÷ 4 = 300
Answer: So, 1,113 ÷ 4 is about 300. About 300 tickets were sold for each show.
15-2 Estimate Quotients
A fundraiser generated $1,212 from 6 local churches. About how much money did each church give to the fundraiser?
A. about $100
B. about $200
C. about $250
D. about $300
Five-Minute Check (over Lesson 15-2)
Main Idea
California Standards
Example 1: Real-World Example
Example 2: Real-World Example
15-3 Two-Digit Quotients
Division
15-3 Two-Digit Quotients
• I will divide a two-digit number by a one-digit number.
15-3 Two-Digit Quotients
Standard 3NS2.5 Solve division problems in which a multi-digit number is evenly divided by a one-digit number (135 ÷ 5 = ___ ).
Standard 3NS2.3 Use the inverse relationship of multiplication and division to compute and check results.
A total of 95 students signed up for basketball. How many 5-person teams will there be?
15-3 Two-Digit Quotients
Step 1 Model 95. Show 5 groups.
5 95quotientdividend
divisor
Step 2 Divide the tens.
15-3 Two-Digit Quotients
5 951 ten in each group
5 tens used
1
– 54 4 tens left
Step 3 Regroup and divide the ones.
15-3 Two-Digit Quotients
9 ones in each group5 95
1
– 54
45 ones used
9
5– 45
0 0 ones left
19Answer: So, 95 ÷ 5 = 19 or 5 95.
15-3 Two-Digit Quotients
A total of 200 kids signed on for after-school softball. If there are 10 players to a team, how many teams will be formed?
A. 25 teams
B. 21 teams
C. 20 teams
D. 30 teams
Rami wants to read an 84-page book in 6 days. How many pages should he read per day?
15-3 Two-Digit Quotients
Find 84 ÷ 6.
Step 1 Decide if there are enough tens to divide.
6 84 8 > 6 There are enough tens.
Step 2 Divide the tens.
15-3 Two-Digit Quotients
6 841
6 –2
Divide 8 tens by 6 groups.Write 1 in the tens place.Multiply. 1 × 6 tens = 6 tensSubtract 6 tens from 8 tens.Compare. 2 < 6
Step 3 Divide the ones.
15-3 Two-Digit Quotients
6 841
6 –2
Divide 24 ones by 6 groups.Write 4 in the ones place.
Multiply. 4 × 6 ones = 24 onesSubtract 24 ones from 24 onesCompare. 0 < 6
4
4
240
Answer: So, Rami should read 14 pages each day.
–
Check Multiply the quotient by the divisor.
15-3 Two-Digit Quotients
14× 6
4
2
8
The answer is correct.
quotientdivisordividend
15-3 Two-Digit Quotients
Shelley makes $5 a day babysitting. She wants to buy an outfit that costs $65. How many days will Shelley have to baby-sit to earn enough money to buy the outfit?
A. 13 days
B. 15 days
C. 17 days
D. 12 days
Five-Minute Check (over Lesson 15-3)
Main Idea
California Standards
Example 1: Problem-Solving Strategy
15-4 Problem-Solving Strategy: Work Backwards
15-4 Problem-Solving Strategy: Work Backwards
• I will work backward to solve problems.
15-4 Problem-Solving Strategy: Work Backwards
Standard 3MR1.2 Determine when and how to break a problem into simpler parts. Standard 3NS2.1 Solve division problems in which a multi-digit number is evenly divided by a one-digit number (135 ÷ 5 = ___ ).
Frannie put some money in the bank to start a savings account. Last month she put in enough money to double that amount. Today, she put in more money and the total amount doubled, again. Now she has $20. How much money did Frannie start with?
15-4 Problem-Solving Strategy: Work Backwards
Understand
What facts do you know?
• The money doubled two times.
• The total amount at the end is $20.
What do you need to find?
• The amount of money Frannie started with.
15-4 Problem-Solving Strategy: Work Backwards
Plan
Work backward from what you know, $20, to find the amount Frannie started with.
15-4 Problem-Solving Strategy: Work Backwards
Solve
Start with $20.
Answer: So, the amount of money Frannie started with was $5.
15-4 Problem-Solving Strategy: Work Backwards
Find the number that was doubled.
Since the amount was doubled two times, find half of $10.
$20
Half of $20 is $10
$10
Half of $10 is $5
$5
Check
15-4 Problem-Solving Strategy: Work Backwards
Look back at the problem. When you double $5, the result is $5 × 2 or $10. When you double $10, the result is $10 × 2 or $20.
So, the answer is correct.
Five-Minute Check (over Lesson 15-4)
Main Idea
California Standards
Example 1: Real-World Example
Example 2: Real-World Example
15-5 Three-Digit Quotients
15-5 Three-Digit Quotients
• I will divide three-digit numbers by one-digit numbers.
15-5 Three-Digit Quotients
Standard 3NS2.5 Solve division problems in which a multi-digit number is evenly divided by a one-digit number (135 ÷ 5 = ___ ).
Standard 3NS2.3 Use the inverse relationship of multiplication and division to compute and check results.
Hugan read a 572-page book in 4 weeks. How many pages did he read each week?
15-5 Three-Digit Quotients
Find 572 ÷ 4.
Step 1 Divide the hundreds. 5 > 4, so there are enough hundreds.
4 5721
Multiply. 4 × 1 = 44 –Subtract. 5 – 4 = 11 Compare. 1 < 4
Divide. 5 ÷ 4
15-5 Three-Digit Quotients
Step 2 Regroup. Regroup the remaining 1 hundred as 10 tens. Bring down the 7 tens.
4 5721
4 –1 7
15-5 Three-Digit Quotients
Step 3 Divide the tens. Regroup the remaining ten as 10 ones. Bring down the ones.
Multiply. 4 × 4 = 16Subtract. 17 – 16 = 1Compare. 1 < 4
Divide. 17 ÷ 4
4 5721
4 –1 7
4
16–12
15-5 Three-Digit Quotients
Step 4 Divide the ones.
Multiply. 4 × 3 = 12Subtract. 12 – 12 = 0Compare. 0 < 4
Divide. 12 ÷ 4 = 3
4 5721
4 –1 7
4
16–12
– 12
3
0
Answer: So, Hugan read 143 pages each week.
15-5 Three-Digit Quotients
A group of 500 people will be split into 4 groups. How many people will be in each group?
A. 150 people
B. 130 people
C. 120 people
D. 125 people
Akina is putting 115 books on 5 shelves. How many books will go on each shelf?
15-5 Three-Digit Quotients
Find 115 ÷ 5.
Step 1 Divide the hundreds.
15-5 Three-Digit Quotients
5 115 There are not enough hundreds to divide. Regroup the 1 hundred as 10 tens.
5 115 11 > 5 Place the first digit in the tens place.
Step 2 Divide the tens.
15-5 Three-Digit Quotients
5 115Divide. 11 ÷ 5 = 2Multiply. 5 × 2 = 10
2
10–1
Subtract. 11 – 10 = 1Compare. 1 < 5
Step 3 Divide the ones.
15-5 Three-Digit Quotients
Bring down the ones.
Divide. 15 ÷ 5 = 3
5 1152
10–1
Multiply. 5 × 3 = 15Subtract. 15 – 15 = 0
–0
3
5
Compare. 0 < 5
15
Answer: So, Akina put 23 books on each shelf.
15-5 Three-Digit Quotients
Check Multiply to check.
23× 5
5
1
11
The answer is correct.
quotientdivisordividend
15-5 Three-Digit Quotients
Tony wants to buy a mountain bike that costs $450. If he plans to buy it in 3 months, how much money will Tony have to save each month?
A. $175
B. $100
C. $150
D. $130
Five-Minute Check (over Lesson 15-5)
Main Idea
California Standards
Example 1: Problem-Solving Investigation
15-6 Problem-Solving Investigation: Choose the Best Strategy
15-6 Problem-Solving Investigation: Choose the Best Strategy
• I will choose the best strategy to solve a problem.
15-6 Problem-Solving Investigation: Choose the Best Strategy
Standard 3MR1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing and prioritizing information, and observing patterns.
15-6 Problem-Solving Investigation: Choose the Best Strategy
Standard 3NS2.5 Solve division problems in which a multi-digit number is evenly divided by a one-digit number (135 ÷ 5 = ___ ).
MING: A community pool is in the shape of a circle. It measures 80 feet across. A square fence is going to be placed around the pool.
YOUR MISSION: Find if 340 feet of fencing is enough to go around the pool.
15-6 Problem-Solving Investigation: Choose the Best Strategy
Understand
What facts do you know?
• The pool is a circle.
• It measures 80 feet across.
• A square fence will be put around the pool.
• You have 340 feet of fencing.
15-6 Problem-Solving Investigation: Choose the Best Strategy
Understand
What do you need to find?
• You need to know if 340 feet of fencing is enough.
15-6 Problem-Solving Investigation: Choose the Best Strategy
Plan
Divide 340 by 4 to find the length of each side of the fence. Use make a drawing strategy to compare the length of the fence to the pool.
15-6 Problem-Solving Investigation: Choose the Best Strategy
Solve
15-6 Problem-Solving Investigation: Choose the Best Strategy
4 3408
32–2
–0
5
020
Solve
340 feet of fence is enough to make a square that is 85 feet on each side. 80 feet is smaller than 85 feet.
15-6 Problem-Solving Investigation: Choose the Best Strategy
Answer: So, 340 feet of fencing is enough to go around the pool.
Check
Look back at the problem. Check the answer by multiplying.
15-6 Problem-Solving Investigation: Choose the Best Strategy
So, the answer is correct.
85 × 4 = 340
Five-Minute Check (over Lesson 15-6)
Main Idea
California Standards
Example 1: Real-World ExampleExample 2: Quotients Less Than $1.00Example 3: Find Unit Cost
15-7 Divide Money
15-7 Divide Money
Standard 3NS3.3 Solve problems involving addition, subtraction, multiplication, and division of money amounts in decimal notation and multiply and divide money amounts in decimal notation by using whole-number multipliers and divisors.
15-7 Divide Money
Standard 3NS2.7 Determine the unit cost when given the total cost and number of units.
Brian and 3 friends earned $9.68 for washing cars. How much will each boy receive after they share the money equally?
15-7 Divide Money
Find $9.68 ÷ 4.
Estimate $9.68 ÷ 4 $10 ÷ 4 = $2.50
Step 1 Divide the dollars.
15-7 Divide Money
4 $9.682
Divide. 9 ÷ 48– Multiply. 4 × 2 dollars1 Subtract. 9 – 8 = 1
Compare. 1 < 4
Step 2 Divide the dimes.
15-7 Divide Money
Divide. 16 ÷ 4Multiply. 4 × 4 dimes
4 $9.682
8–1
Subtract. 16 – 16 = 0Compare. 0 < 4
4
61 6–
0
Step 3 Divide the pennies.
15-7 Divide Money
Place the decimal point and dollar sign directly above.
Divide. 8 ÷ 4 = 2Multiply. 4 × 2 penniesSubtract. 8 – 8 = 0
4 $9.68$2.
8–1
4
61 6–
0
2
8–0
Compare. 0 < 4
8
Answer: So, each boy will receive $2.42.
Check for Reasonableness
15-7 Divide Money
$2.42 is close to the estimate of $2.50.
So, the answer is reasonable.
Since $2.42 × 4 = $9.68, the answer is correct.
15-7 Divide Money
Angie and 3 friends pay $25 for tickets to see a movie. How much did each of them pay for a movie ticket?
A. $6.25
B. $5.25
C. $7.25
D. $5.50
Divide $4.35 ÷ 5.
15-7 Divide Money
Estimate $4.35 ÷ 5 $4.00 ÷ 5 = $0.80
Step 1 Decide if there are enough dollars to divide.
5 $4.35 4 < 5 There are not enough.
15-7 Divide Money
Step 3 Divide the pennies.
5 $4.35$0.8
4 0– 35
7
– 350
Add the dollar sign and decimal point. Add a zero to show 0 dollars.
Answer: So, $4.35 ÷ 5 = $0.87.
15-7 Divide Money
Check for Reasonableness
The estimate $0.80 is close to $0.87. So, the answer is correct.
Freda paid $6.84 for 6 bags of marbles. How much did each bag cost?
15-7 Divide Money
Find the unit cost. Divide $6.84 ÷ 6.
15-7 Divide Money
6 $6.84$1.
6–0
1
8 6–2
4
24–0
4
Answer: So, $6.84 ÷ 6 = $1.14. Each bag costs $1.14.
Check
$1.14× 6$6.84
2
So, the answer is correct.
15-7 Divide Money
Chris paid $7.25 for 5 gallons of fruit punch. How much did Chris pay for each gallon of fruit punch?
A. $1.85
B. $1.75
C. $1.55
D. $1.45
15Divide by One-Digit Numbers
15Divide by One-Digit Numbers
Five-Minute Checks
Math Tool Chest
Image Bank
Division
15Divide by One-Digit Numbers
To use the images that are on the following four slides in your own presentation:1. Exit this presentation. 2. Open a chapter presentation using a
full installation of Microsoft® PowerPoint® in editing mode and scroll to the Image Bank slides.
3. Select an image, copy it, and paste it into your presentation.
15Divide by One-Digit Numbers
15Divide by One-Digit Numbers
15Divide by One-Digit Numbers
15Divide by One-Digit Numbers
15Divide by One-Digit Numbers
15Divide by One-Digit Numbers
Lesson 15-1 (over Chapter 14)
Lesson 15-2 (over Lesson 15-1)
Lesson 15-3 (over Lesson 15-2)
Lesson 15-4 (over Lesson 15-3)
Lesson 15-5 (over Lesson 15-4)
Lesson 15-6 (over Lesson 15-5)
Lesson 15-7 (over Lesson 15-6)
15Divide by One-Digit Numbers
(over Chapter 14)
Multiply.
A. $21.68
B. $4.48
C. $6.68
D. $22.68
$3.24 × 7
15Divide by One-Digit Numbers
(over Chapter 14)
Multiply.
A. $76.08
B. $79.06
C. $74.56
D. $72.08
8 × $9.51
15Divide by One-Digit Numbers
(over Chapter 14)
At Dora’s diner, burgers are $3.13 and drinks are $1.29. How much are 3 burgers and 1 drink?
A. $10.24
B. $10.68
C. $8.60
D. $6.60
15Divide by One-Digit Numbers
(over Chapter 14)
At Dora’s diner, burgers are $3.13 and drinks are $1.29. What is the cost of 2 burgers and 2 drinks?
A. $8.84
B. $6.68
C. $4.60
D. $5.60
15Divide by One-Digit Numbers
(over Lesson 15-1)
Divide. Use patterns.
A. 60
B. 18
C. 32
D. 40
320 ÷ 8
15Divide by One-Digit Numbers
(over Lesson 15-1)
Divide. Use patterns.
A. 220
B. 90
C. 900
D. 22
4,500 ÷ 5
15Divide by One-Digit Numbers
(over Lesson 15-1)
Divide. Use patterns.
A. 80
B. 36
C. 32
D. 322
720 ÷ 9
15Divide by One-Digit Numbers
There are 6 boxes and 240 crayons. How many crayons are in each box?
A. 40 crayons
B. 32 crayons
C. 30 crayons
D. 42 crayons
(over Lesson 15-1)
15Divide by One-Digit Numbers
(over Lesson 15-2)
Estimate by rounding.
A. 270 ÷ 3 = 90
B. 260 ÷ 3 = 90
C. 290 ÷ 3 = 97
D. 240 ÷ 3 = 80
269 ÷ 3
15Divide by One-Digit Numbers
Estimate by rounding.
A. 4,100 ÷ 7 = 600
B. 4,200 ÷ 7 = 600
C. 4,200 ÷ 7 = 700
D. 4,900 ÷ 7 = 700
(over Lesson 15-2)
4,179 ÷ 7
15Divide by One-Digit Numbers
Estimate by rounding.
A. 60 ÷ 6 = 12
B. 61 ÷ 6 = 11
C. 60 ÷ 6 = 10
D. 68 ÷ 6 = 8
(over Lesson 15-2)
61 ÷ 6
15Divide by One-Digit Numbers
Estimate by rounding.
A. 400 ÷ 5 = 80
B. 390 ÷ 5 = 88
C. 400 ÷ 5 = 40
D. 350 ÷ 5 = 50
(over Lesson 15-2)
390 ÷ 5
15Divide by One-Digit Numbers
(over Lesson 15-3)
Divide 68 ÷ 4. Use models if needed. Check your answer.
A. 22
B. 24
C. 12
D. 17
15Divide by One-Digit Numbers
Divide 48 ÷ 3. Use models if needed. Check your answer.
A. 16
B. 12
C. 14
D. 15
(over Lesson 15-3)
15Divide by One-Digit Numbers
Divide 91 ÷ 7. Use models if needed. Check your answer.
A. 14
B. 13
C. 10
D. 8
(over Lesson 15-3)
15Divide by One-Digit Numbers
Jaha has 96 beads for making bracelets. She uses 6 beads for each bracelet. How many bracelets can she make?
A. 90 bracelets
B. 14 bracelets
C. 16 bracelets
D. 88 bracelets
(over Lesson 15-3)
15Divide by One-Digit Numbers
(over Lesson 15-4)
Use the work backward strategy to solve. Julio is saving money for a new guitar. He doubled his money last year by babysitting his brother. Then he tripled that amount by working for his dad. Now he has $90. How much did he start with?
A. $22
B. $14
C. $24
D. $15
15Divide by One-Digit Numbers
(over Lesson 15-5)
Divide 745 ÷ 5. Check your answer.
A. 155
B. 135
C. 322
D. 149
15Divide by One-Digit Numbers
Divide 288 ÷ 6. Check your answers.
A. 48
B. 24
C. 34
D. 84
(over Lesson 15-5)
15Divide by One-Digit Numbers
Divide 824 ÷ 2. Check your answers.
A. 411
B. 128
C. 244
D. 412
(over Lesson 15-5)
15Divide by One-Digit Numbers
(over Lesson 15-5)
There is a total of 784 pencils. There are 7 pencils in each box. How many boxes of pencils are there?
A. 110 boxes
B. 144 boxes
C. 112 boxes
D. 122 boxes
15Divide by One-Digit Numbers
(over Lesson 15-6)
Choose any strategy to solve the problem. Tia sold 9 baskets at the flea market for $138. She sold some baskets for $12 and some for $18 each. How many of each basket did she sell?
A. five $12 baskets and five $18 baskets
B. four $12 baskets and five $18 baskets
C. three $12 baskets and seven $18 baskets
D. four $12 baskets and four $18 baskets
This slide is intentionally blank.