Every Day Maths and Algorithm

7/31/2019 Every Day Maths and Algorithm

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A Fun Review!


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Partial Products Algorithmfor Multiplication


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In the partial-product multiplicationalgorithm, 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 ismultiplied by each part of the other

factor, and all of the resultingpartial products are added together.


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Calculate 10 X 20

1 4X 2 3

Calculate 20 X 4 200803012

Calculate 3 X 10

Calculate 3 X 4 +Add the results 322

Lets try anotherone.


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Calculate 30 X 70

3 8X 7 9

Calculate 70 X 8 2,100560270

72Calculate 9 X 30

Calculate 9 X 8 +Add the results

Do this one onyour own.

3,002

Lets see if youre right.


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Now for some fun...


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15 14 13 12 11 10 9 8 7 6 54 3 2 1

$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


9/41

15 14 13 12 11 10 9 8 7 6 5

4 3 2 1

$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


10/41

A: Ones

C: Hundreds

B: Tens

D: Thousands

50:50

15 14 13 12

11

10 9 8 7 6 54 3 2 1

$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 asimple pattern of tens. Each place

has ten times the value of the placeto its right. Place value tells you howmuch each digit stands for. In thenumber 546,872, the 8 is in the

______ place.


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15 14 13 12 11 10 9 8 7 6 5

4 3 2 1

$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


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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

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15 14 13 12 11 10 9 8 7 6 54 3 2 1

$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 thesame whole number. How is 2,437

written in expanded form?


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15 14 13 12 11 10 9 8 7 6 5

4 3 2 1

$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


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A: Partial-product multiplication

C: Area model

B: Traditional multiplication

D: Complete number strategy

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15 14 13 12 11 10 9 8 7 6 54 3 2 1

$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, eachfactor is thought of as a sum of ones,

tens, hundreds, and so on. Theneach part of one factor is multipliedby each part of the other factor, andall of the resulting partial products

are added together.


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15 14 13 12 11 10 9 8 7 6 5

4 3 2 1

$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


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A: An even number

C: A method for solving aproblem

B: A fraction

D: A pet pig

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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 analgorithm?


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15 14 13 12 11 10

9 8 7 6 5

4 3 2 1

$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


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A: 2,000

C: 200

B: 20

D: 2

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15 14 13 12 11 10 9 8 7 6 54 3 2 1

$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?


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the $1,000Milestone!


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9 8 7 6 5

4 3 2 1

$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

15 $1 illi


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A: 160

C: 210

B: 250

D: 137

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15 14 13 12 11 10 9 8 7 6 54 3 2 1

$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-productsmethod of multiplication,

what is 32 x 5?

Hint: Add 30 x 5 and 2 x 5.


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15 14 13 12 11 10

9 8 7 6 5

4 3 2 1

$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

15 $1 Milli


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A: 150

C: 1,800

B: 800

D: 1,500

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15 14 13 12 11 10 9 8 7 6 54 3 2 1

$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 is30 x 50?

Hint: Multiply 3 x 5 and add the

zeros.


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15 14 13 12 11 10

9 8 7 6 5

4 3 2 1

$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

15 $1 Milli


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A: 400

C: 407

B: 40

D: 4

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15 14 13 12 11 10 9 8 7 6 54 3 2 1

$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 4worth in 471?


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15 $1 Milli


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A: 920

C: 720

B: 942

D: 845

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15 14 13 12 11 10 9 8 7 6 54 3 2 1

$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-productsmethod of multiplication,

what is 471 x 2?

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

1 x 2.


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15 14 13 12 11 10

9 8 7 6 5

4 3 2 1

$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

15 $1 Million


29/41

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

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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 youwrite 4,510 in

expandednotation??


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the $32,000Milestone!


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15 14 13 12 11 10

9 8 7 6 5

4 3 2 1

$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

15 $1 Million


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A: 5,355

C: 9,600

B: 4,972

D: 1,068

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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 methodof 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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15 14 13 12 11 10

9 8 7 6 5

4

3 2 1

$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

15 $1 Million


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A: 50

C: 13

B: 40

D: 200

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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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15 14 13 12 11 10

9 8 7 6 5

4

3 2 1

$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

15 $1 Million


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A: 5,672,390

C: 1

B: 0

D: 100

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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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15 14 13 12 11 10

9 8 7 6 54 3 2 1

$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

15 $1 Million


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A: I dont like candy

C: I like candy a lot

B: I like candy a little

D: I LOVE 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

How much do youlike candy?


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15 14 13 12 11 10

9 8 7 6 54 3 2 1

$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

15 $1 Million


40/41

A: Mrs. Agee

C: Mrs. Agee

B: Mrs. Agee

D: Mrs. Agee

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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 favoriteteacher?


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YOU WIN $1MILLION DOLLARS!

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Every Day Maths and Algorithm