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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
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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: 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
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
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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$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
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?
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the $1,000Milestone!
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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 illi
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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-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
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 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
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 4worth in 471?
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15 $1 Milli
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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-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
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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
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 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
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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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
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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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
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 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
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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 favoriteteacher?
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YOU WIN $1MILLION DOLLARS!