Everyday Everyday Math and Math and AlgorithmsAlgorithms

A Fun Review!A Fun Review!

Partial Products Algorithm Partial Products Algorithm for Multiplicationfor Multiplication

In the partial-product multiplication algorithm, each factor is thought of

as a sum of ones, tens, hundreds, and so on. For example, in 67 x 53, think of 67 as 60 + 7, and 53 as 50 + 3. Then each part of one factor is multiplied by each part of the other

factor, and all of the resulting partial products are added together.

Calculate 50 X 60

67X 53

Calculate 50 X 7

3,000 350 180 21

Calculate 3 X 60

Calculate 3 X 7 +Add the results 3,551

To find 67 x 53, think of 67 as 60 + 7 and 53 as 50 + 3. Then multiply each part of one sum by each part of the other, and add the results.

Calculate 10 X 20

14X 23

Calculate 20 X 4

200 80 30 12

Calculate 3 X 10

Calculate 3 X 4 +Add the results 322

Let’s try another one.

Calculate 30 X 70

38X 79

Calculate 70 X 8

2,100 560 270 72

Calculate 9 X 30

Calculate 9 X 8 +Add the results

Do this one on your own.

3,002

Let’s see if you’re right.

Now for some fun...

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$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

Welcome to

Who Wants to be a Millionaire

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$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

A: Ones

C: Hundreds

B: Tens

D: Thousands

50:50

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$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

Our number system is based on a simple pattern of tens. Each place

has ten times the value of the place to its right. Place value tells you how

much each digit stands for. In the number 546,872, the 8 is in the

______ place.

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$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

A: 200 + 400 + 30 + 7

C: 2,000 x 400 x 30 x 7

B: 2,000 + 403 + 7

D: 2,000 + 400 + 30 + 7

50:50

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$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

There are many ways to write the same whole number. How is 2,437

written in expanded form?

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$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

A: Partial-product multiplication

C: Area model

B: Traditional multiplication

D: Complete number strategy

50:50

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$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

In this multiplication algorithm, each factor is thought of as a sum of

ones, tens, hundreds, and so on. Then each part of one factor is

multiplied by each part of the other factor, and all of the resulting partial

products are added together.

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$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

A: An even number

C: A method for solving a problem

B: A fraction

D: A pet pig

50:50

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$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

What is an “algorithm”?

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$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

A: 2,000

C: 200

B: 20

D: 2

50:50

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$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

How much is the 2 worth in 29?

Congratulations!

You’ve ReachedYou’ve Reached

the $1,000the $1,000

Milestone!Milestone!

Congratulations!Congratulations!

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$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

A: 160

C: 210

B: 250

D: 137

50:50

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$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

Using the partial-products method of multiplication,

what is 32 x 5?

Hint: Add 30 x 5 and 2 x 5.

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$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

A: 150

C: 1,800

B: 800

D: 1,500

50:50

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$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

To be able to use the partial-products method, you must be

able to multiply by tens. What is 30 x 50?

Hint: Multiply 3 x 5 and add the zeros.

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$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

A: 400

C: 407

B: 40

D: 4

50:50

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$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

How much is the 4 worth in 471?

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$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

A: 920

C: 720

B: 942

D: 845

50:50

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$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

Using the partial-products method of multiplication, what is 471 x 2?

Hint: Add 400 x 2, 70 x 2, and 1 x 2.

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$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

A: 4,000 x 500 x 10 x 0

C: 400 + 500 + 10 + 0

B: 4,000 + 500 + 10 + 0

D: 1,000 + 500 + 40

50:50

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$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

How would you write 4,510 in

expanded notation??

Congratulations!

You’ve ReachedYou’ve Reached

the $32,000the $32,000

Milestone!Milestone!

Congratulations!Congratulations!

151413121110987654321

$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

A: 5,355

C: 9,600

B: 4,972

D: 1,068

50:50

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$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

Using the partial-products method of multiplication, what is 89 x 12?

Hint: Add 80 x 10, 80 x 2, 9 x 10, and 9 x 2.

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$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

A: 50

C: 13

B: 40

D: 200

50:50

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$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

48

x 56

(40 x 50) 2,000

(40 x 6) 240

( __ x 8) 400

(6 x 8) + 48

2,688

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$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

A: 5,672,390

C: 1

B: 0

D: 100

50:50

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$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

5,672,390 x 0 = ?

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$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

A: I don’t like candy

C: I like candy a lot

B: I like candy a little

D: I LOVE CANDY

50:50

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$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

How much do you like candy?

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$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

A: Mrs. Agee

C: Mrs. Agee

B: Mrs. Agee

D: Mrs. Agee

50:50

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$1 Million$500,000$250,000$125,000$64,000$32,000$16,000$8,000$4,000$2,000$1,000$500$300$200$100

Who is your favorite teacher?

YOU WIN $1 MILLION DOLLARS!