Splash Screen Chapter 14 Multiply by One-Digit Numbers Click the mouse or press the space bar to...

Chapter 14Multiply by One-Digit Numbers

Click the mouse or press the space bar to continue.

Chapter 14Multiply by One-Digit Numbers

Click the mouse or press the space bar to continue.

http://ca.gr3math.com/

Lesson 14-1 Multiply Multiples of 10, 100, and 1,000

Lesson 14-2 Problem-Solving Strategy: Use Logical Reasoning

Lesson 14-3 Estimate Products

Lesson 14-4 Multiply by a One-Digit Number

Lesson 14-5 Problem-Solving Investigation: Choose the Best Strategy

Lesson 14-6 Multiply Two-Digit Numbers

Lesson 14-7 Multiply Greater Numbers

Lesson 14-8 Multiply Money

1414Multiply by One-Digit Numbers



Five-Minute Check (over Chapter 13)

Main Idea and Vocabulary

California Standards

Example 1: Real-World Example



14-114-1 Multiply Multiples of 10, 100, and 1,000



• I will learn to multiply multiples of 10, 100, and 1,000.

• multiples



Standard 3NS2.4 Solve simple problems involving multiplication of multi-digit numbers by one-digit numbers (3,671 × 3 = ___ ).

Standard 3MR2.2 Apply strategies and results from simpler problems to more complex problems.


Find 6 × 100. Use basic facts and patterns of zeros.

Alejandra bought 6 boxes of beads to make jewelry. Each box has 100 beads. How many beads does Alejandra have?


6 × 1 = 6

6 × 10 = 60

6 × 100 = 600

Answer: So, Alejandra has 600 beads.

6 × 1 one = 6 ones

6 × 1 ten = 60 tens

6 × 1 hundred = 6 hundreds


A. 50 stickers

B. 5,000 stickers

C. 500 stickers

D. 5 stickers


Ronald buys 5 packs of stickers with 100 stickers in each pack. How many stickers did Ronald buy altogether?



You need to find 7 × 2,000.

Mr. Lin bought 7 bags of gravel for his driveway. There are 2,000 pieces in each bag. How many pieces of gravel does Mr. Lin have?



7 × 2 = 14

7 × 20 = 140

7 × 200 = 1,400

7 × 2 ones = 14 ones

7 × 2 tens = 14 tens

7 × 2 hundreds = 14 hundreds

7 × 2,000 = 14,000 7 × 2 thousands = 14 thousands

Answer: So, 7 × 2,000 = 14,000. Mr. Lin has 14,000 pieces of gravel.



A. 280

B. 280,000

C. 2,800

D. 28,000

On a given day, 4,000 people ride a particular rollercoaster at a popular amusement park. How many people will have rode this particular rollercoaster after 7 days?


6,000 people fly each day at a busy airport. How many people fly from the airport in 5 days?


You need to find 5 × 6,000.



5 × 6 = 30

5 × 60 = 300

5 × 600 = 3,000

Answer: So, 5 × 6,000 = 30,000. About 30,000 people will fly from the airport in 5 days.

5 × 6,000 = 30,000



A. 2,000 pounds

B. 20,000 pounds

C. 200,000 pounds

D. 200 pounds

A crane operator was stacking 2,000-pound cement blocks on top of each other 10 blocks high in a column. What is the total weight of a column?


Five-Minute Check (over Lesson 14-1)

Main Idea


Example 1: Problem-Solving Strategy

14-214-2 Problem-Solving Strategy: Use Logical Reasoning



• I will solve problems by using logical reasoning.



Standard 3MR2.3 Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning.

Standard 3NS2.1 Find the sum or difference of two whole numbers between 0 and 10,000.


Three friends all have on different shirts. Hallie’s shirt is white. Jimar’s shirt is not green. Lina’s shirt is not red. What is the color of each of their shirts?



Understand

What facts do you know?

• Hallie has on a white shirt.

• Jimar’s shirt is not green.

• Lina’s shirt is not red.

What do you need to find?

• The color of each person’s shirt.



Plan

Make a table to show what you know. Then use logical reasoning to find the color of each person’s shirt.



Solve

Hallie is wearing white. So, write yes by her name under white. Place an X in all the rest of the white column and the other colors for Hallie.



Solve

Lina’s shirt is not red and cannot be white, so it is green. The color that is left is red. Jimar’s shirt must be red.

Answer: So, Hallie is wearing white, Lina is wearing green, and Jimar is wearing red.



Check

Look back at the problem. The answer makes sense for the facts given.

So, the answer is correct.






Example 1: Estimate by Rounding

Example 2: Estimate by Rounding

Example 3: Verify Reasonableness

14-314-3 Estimate Products



• I will estimate products.

• estimate




Standard 3MR2.1 Use estimation to verify the reasonableness of calculated results.



Each of 23 clubs can send 5 members to the county competition. About how many members will go to the county competition?

Estimate 5 × 23 by rounding to the nearest ten.



Step 1 Round the factor that is greater than 10 to the nearest ten.

5 × 23

5 × 2023 is closer to 20 than 30. So, 23 rounds to 20.



Answer: So, about 100 club members can go to the county competition.

Step 2 Multiply mentally.

5 × 20 = 100


A. about $300

B. about $30

C. about $3,000

D. about $33


All 33 members of a local community group will be donating $10 a piece for a worthy cause. About how much money will the group be donating?


There are 128 students in the play. They can each invite 6 people to the play. About how many people can be invited to the play?


Estimate 6 × 128 by rounding to the nearest hundred.

128 is closer to 100 than 200.



Answer: So, about 600 people can be invited to the play.

6 × 128

6 × 100 = 600



A group of 212 kids were waiting in line to receive 5 free music CDs. About how many music CDs will be needed to satisfy all the waiting kids?

A. about 100 CDs

B. about 1,000 CDs

C. about 10,000 CDs

D. about 500 CDs



The senior class is going to Washington D.C. for their class trip. A bus holds 43 students. Will 5 buses be enough for 192 students?

Answer: So, the buses can hold about 200 students. 200 > 192. So, 5 buses will be enough to transport 192 students.

Estimate 5 × 43.

5 × 43

5 × 40 = 200

Round 43 to 40.

Multiply mentally.


A. Yes, six buses will be enough.

B. Yes, but less than six buses are needed.

C. No, more than six buses are needed.


A school wants to take their 298 honor roll students to an art museum. Each charter bus can hold 50 people. Will 6 buses be enough to take all the students?





Example 1: Use a Model

Example 2: Use a Model

14-414-4 Multiply by a One-Digit Number



• I will multiply two-digit numbers by a one-digit number with no regrouping.

• partial products


Ajay and his sister each have 43 baseball cards. How many cards do they have altogether?


The array on the next slide shows 2 × 43. Break the grid into parts. Then use what you know about multiplication to find the total number of squares.



The orange shaded part represents 2 × 40.

The blue shaded part represents 2 × 3.



2 × 40 = 80

2 × 3 = 6

80 + 6 = 86

So, 2 × 43 = 86.

Find the product of each part, or the partial products. Then add the partial products.

Answer: Ajay and his sister have 86 baseball cards in all.



A. 50 stolen bases

B. 60 stolen bases

C. 52 stolen bases

D. 62 stolen bases

After the season, David and his friend each had 26 stolen bases. How many stolen bases did David and his friend have altogether?


A storeroom has 4 shelves with 212 boxes on each shelf. How many boxes are there altogether?


Estimate 4 × 212 4 × 200 = 800

Think of 212 as 200 + 10 + 2.


Answer: So, there are 848 boxes altogether.


2124×8

40+ 800

848


A. 700

B. 669

C. 796

D. 696


The auditorium can hold 232 people. A particular event is scheduled for 3 different times in one day to be held in the auditorium. How many people will be able to attend the event altogether?



Main Idea


Example 1: Problem-Solving Investigation

14-514-5 Problem-Solving Investigation: Choose the Best Strategy



• I will choose the best strategy to solve a problem.



Standard 3MR1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing and prioritizing information, and observing patterns.


RYDELL: I need to fill 3 pitchers and 2 punch bowls with strawberry punch. It takes 11 cans of punch to fill one pitcher and 24 cans of punch to fill the punch bowl.

YOUR MISSION: Find how many cans of punch are needed in all.



Understand

What facts do you know?

• It takes 11 cans to fill 1 pitcher.

• It takes 24 cans of punch to fill 1 punch bowl.

What do you need to find?

• Find how many cans of punch are needed in all.



Plan

Solve a simpler problem. Solve for each part of the problem then add.



Solve


Answer: So, 81 cans of punch are needed in all.

1 pitcher = 11 cans of punch

So, it takes 11 × 3 or 33 cans to fill 3 pitchers.

1 punch bowl = 24 cans

So, it takes 24 × 2 or 48 cans to fill two bowls.

Now find the total.

33 + 48 = 81


Check

Look back at the problem. Use addition to check.


So, the answer is correct.



Main Idea


Example 1: Multiply with Regrouping


14-614-6 Multiply Two-Digit Numbers

Multiplication with Regrouping



• I will multiply a two-digit number by a one-digit number with regrouping.


A computer book has 7 chapters. There are 12 pages in each chapter. How many pages are there in all?

Use models to help you find the product of 7 × 12.


Estimate 7 × 12 7 × 10 = 70


Step 1 Model 7 × 12.


One Way: Base-Ten Models

7 groups of 12




Step 2 Combine models.

14 ones = 1 ten, 4 ones




Step 3 Find 7 × 12.

804+

84



Another Way: Paper and Pencil

Step 1 Multiply ones.

127×4

1 7 × 2 ones = 14 ones

14 ones = 1 ten and 4 ones

Step 2 Multiply tens.

127×4

1

7 × 1 ten = 7 tens7 tens + 1 ten = 8 tens8

Answer: So, there are 84 pages in all.



A building has 16 floors with 3 sets of male and female restrooms on each floor. How many set of male and female restrooms are there in the whole building?

A. 39 restrooms

B. 32 restrooms

C. 48 restrooms

D. 45 restrooms


A large egg carton holds 18 eggs. How many eggs are in 5 large egg cartons?

Find the product of 5 and 18.


Estimate 5 × 18 5 × 20 = 100


185×

0 5 × 8 ones = 40 ones

4




5 × 1 ten = 5 tens 18

5× 0

4

5 tens + 4 tens = 9 tens 9

The area model shows that 5 × 18 is 90.



Multiply ones.Multiply tens.

Check for Reasonableness

90 is close to 100, so the answer is reasonable.

Answer: So, 5 large egg cartons hold 90 eggs.

18× 540

+ 5090 Add partial products.


A. 75 chocolate candies

B. 65 chocolate candies

C. 55 chocolate candies

D. 60 chocolate candies


A box of chocolates has 15 chocolate candies. How many chocolate candies are there in 5 boxes?



Main Idea




14-714-7 Multiply Greater Numbers



• I will multiply three- and four-digit numbers by a one-digit number with regrouping.



Mrs. Chen walks her dog 4 times a day. How many times will she walk her dog in 133 days?

Estimate 4 × 133 4 × 100 = 400

Find 4 × 133.

1334×

24 × 3 ones = 12 ones

1




1334×

2

1Step 2 Multiply tens.

4 × 3 tens = 12 tens Add the regrouped amount. 12 + 1 = 13 tens

3

1

Step 3 Multiply hundreds.

4 × 1 hundred = 4 hundreds Add the regrouped amount. 4 + 1 = 5 hundreds

1334×

2

1 1

3 5




Since 532 is close to 400, the answer is reasonable.

Answer: So, Mrs. Chen walks her dog 532 times in 133 days.


A. 665 glasses

B. 736 glasses

C. 756 glasses

D. 636 glasses


Doug drinks 6 glasses of water a day. If Doug continues his pattern, how many glasses of water will he drink after 126 days?



Karita takes 1,462 steps in one hour. How many steps will she take in 4 hours?

4× 8

4 × 2 ones = 8 ones 1,462


Find 1,462 × 4.


4× 8

1,462

4

2

8




4 × 4 hundreds = 16 hundreds

Add the regrouped amount.

16 hundreds + 2 hundreds = 18 hundreds

1

4 × 6 tens = 24 tens 4× 8

1,462

4

2


4× 8

1,462

4

2

8

1

5,


Step 4 Multiply thousands.

4 × 1 thousand = 4 thousands

Add the regrouped amount.4 thousand + 1 thousand = 5 thousands

Answer: So, Karita will take 5,848 steps in 4 hours.


A. 9,490

B. 10,560

C. 8,450

D. 5,670


Find 1,898 × 5.



Main Idea


Example 1: Multiply Money

Example 2: Zeros in Products

14-814-8 Multiply Money



• I will learn to multiply 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.


You need to find $2.19 × 4.

Greeting cards cost $2.19 each. Zina bought 4 cards. How much did she spend?


$2.194 × 9 ones = 36 ones


4×6

3





4 × 1 tens = 4 tens $2.19

4×6

3

7 Add the regrouped ten. 4 + 3 = 7

4 × 2 hundreds = 8 hundreds $2.19

4×6

3

78


$ .


Step 4 Write the dollar sign and decimal point.

Answer: So, Zina spent $8.76 on greeting cards.

Place the decimal point and dollar sign.

$2.194×6

3

78


A. $4.25

B. $3.75

C. $2.75

D. $3.25


A bag of chips cost $1.25 each. Darlene wants to buy 3 bags. How much will she spend?


Nutrition bars cost $2.25 each. How much do 4 nutrition bars cost?


Estimate 4 × $2.25 4 × $2.00 = $8.00

$2.254 × 5 ones = 20 ones


4×0

2





4 × 2 tens = 8 tens $2.25

4×0

2

0 Add the regrouped tens. 8 + 2 = 10

4 × 2 hundreds = 8 hundreds 9

1

$2.254×0

2

0

1

Add the regrouped hundreds. 8 + 1 = 9



Answer: So, 4 nutrition bars cost $9.00.


$9.00 is close to $8.00, so the answer is reasonable.

$ .

Step 4 Write the dollar sign and decimal point.

Place the decimal point and dollar sign.

$2.254×0

2

09

1


A. $32.00

B. $25.50

C. $27.00

D. $28.50


A ticket to the movies cost $4.50 for students. Leigh wants to buy 6 student tickets. How much will she have to pay?




Five-Minute Checks

Math Tool Chest

Image Bank

Multiplication with Regrouping


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.



Lesson 14-1 (over Chapter 13)

Lesson 14-2 (over Lesson 14-1)








(over Chapter 13)

A. 16 people

B. 17 people

C. 10 people

D. 15 people

Solve. Bill is in the middle of a line of people waiting to see a play. There are 8 people in front of him. How many people are in the line?


A. 1,200

B. 320

C. 120

D. 3,200

(over Lesson 14-1)

Multiply. Use basic facts and patterns.

4 × 800


A. 21,000

B. 2,100

C. 1,400

D. 4,000

(over Lesson 14-1)


7 × 3,000


A. 45

B. 450

C. 400

D. 14,000

(over Lesson 14-1)


5 × 90


A. 10,000

B. 1,000

C. 3,000

D. 300

(over Lesson 14-1)


2 × 5,000


A. 9,000

B. 900

C. 1,800

D. 18,000

(over Lesson 14-1)


6 × 300


A. 200

B. 2,000

C. 1,000

D. 100

(over Lesson 14-1)


5 × 400


A. cat

B. dog

C. bird

(over Lesson 14-2)

Solve. Use logical reasoning. Matt, Ann, and Joe own a dog, a cat, and a bird. Ann’s pet does not have 4 legs. Joe’s pet does not bark. Which pet does Matt have?


A. 360

B. 36

C. 540

D. 5,400

(over Lesson 14-3)

Estimate. Round to the nearest ten.

37 × 9


A. 1,283

B. 420

C. 1,284

D. 480

(over Lesson 14-3)

Estimate. Round to the nearest ten.

62 × 8


A. 12,000

B. 860

C. 2,400

D. 680

(over Lesson 14-3)

Estimate. Round to the nearest hundred.

425 × 6


A. 4,000

B. 4,200

C. 3,600

D. 7,500

(over Lesson 14-3)

Estimate. Round to the nearest hundred.

751 × 5


A. 60

B. 40

C. 36

D. 82

(over Lesson 14-4)

Multiply.

2 × 41


A. 33

B. 66

C. 55

D. 60

(over Lesson 14-4)

Multiply.

3 × 22


A. 48

B. 128

C. 84

D. 488

(over Lesson 14-4)

Multiply.

4 × 12


(over Lesson 14-4)

A. 64

B. 60

C. 54

D. 84

Multiply.

2 × 32


A. 5 cows and 10 chickens

B. 10 cows and 10 chickens

C. 2 cows and 15 chickens

D. 1 cow and 3 chickens

(over Lesson 14-5)

Solve the problem. Mr. Franco has only cows and chickens on his farm. He has 15 animals. There are 40 legs. How many cows and chickens does Mr. Franco have?


A. 85

B. 38

C. 48

D. 68

(over Lesson 14-6)

Multiply.

17 × 4


A. 92

B. 29

C. 81

D. 83

(over Lesson 14-6)

Multiply.

23 × 4


A. 76

B. 67

C. 71

D. 118

(over Lesson 14-6)

Multiply.

38 × 2


A. 54

B. 59

C. 51

D. 95

(over Lesson 14-6)

Multiply.

19 × 5


A. 68

B. 86

C. 78

D. 144

(over Lesson 14-6)

Multiply.

26 × 3


A. 688

B. 144

C. 328

D. 726

(over Lesson 14-7)

Multiply.

242 × 3


A. 668

B. 122

C. 696

D. 124

(over Lesson 14-7)

Multiply.

174 × 4


A. 558

B. 855

C. 640

D. 644

(over Lesson 14-7)

Multiply.

285 × 3


A. 6,955

B. 6,240

C. 4,400

D. 5,955

(over Lesson 14-7)

Multiply.

1,391 × 5

This slide is intentionally blank.

Splash Screen Chapter 14 Multiply by One-Digit Numbers Click the mouse or press the space bar to...

Documents

Transcript of Splash Screen Chapter 14 Multiply by One-Digit Numbers Click the mouse or press the space bar to...