Partial Products Partial Products for Multiplicationfor Multiplication

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 partial products 3,551

To find 67 x 53, think of

67 as 60 + 7 and

53 as 50 + 3.

Then multiply each part of one by each part of the other and add the results.

This is the distributive property.

Calculate 10 X 20

14X 23

Calculate 20 X 4

200 80 30 12

Calculate 3 X 10

Calculate 3 X 4 +Add the partial products 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 partial products

Do this one on your own.

3002

Let’s see if you’re right.

This method of multiplying supports This method of multiplying supports student’s knowledge of the distributive student’s knowledge of the distributive property. Students must think about property. Students must think about the value of each number and extend the value of each number and extend their use of the multiplication facts to their use of the multiplication facts to multiples of ten. Students also multiples of ten. Students also increase their ability to use estimation increase their ability to use estimation and mental math.and mental math.