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Partial Products Algorithm for Multiplication. Created by Rina Iati South Western School District Hanover, PA. +. 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. 6. 7. X. 5. 3. 3,000.

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partial products algorithm for multiplication

Partial Products Algorithm for Multiplication

Created by Rina Iati

South Western School District

Hanover, PA

slide2

+

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

6

7

X

5

3

3,000

Calculate 50 X 60

350

Calculate 50 X 7

180

Calculate 3 X 60

21

Calculate 3 X 7

3,551

Add the results

Created By Rina Iati, South Western School District

slide3

+

Let’s try another one.

1

4

X

2

3

200

Calculate 10 X 20

80

Calculate 20 X 4

30

Calculate 3 X 10

12

Calculate 3 X 4

322

Add the results

Created By Rina Iati, South Western School District

slide4

+

Do this one on your own.

3

8

Let’s see if you’re right.

X

7

9

2, 100

Calculate 30 X 70

560

Calculate 70 X 8

270

Calculate 9 X 30

72

Calculate 9 X 8

3002

Add the results

Created By Rina Iati, South Western School District