PartialProducts
Multiplication
47 * 236 = ?

Think of 236 as 200 +
30 + 6

Think of 47 as 40 + 7


Multiply each part of
236 by 47, first by 40:



then by 7:



Add these six partial
products:


1,000s

100s

10s

1s



2

3

6



*

4

7






40 * 200=

8,

0

0

0

40 * 30 =

1,

2

0

0

40 * 6 =


2

4

0

7 * 200 =

1,

4

0

0

7 * 30 =


2

1

0

7 * 6 =



4

2


11,

0

9

2


47
* 236 = 11,092




(Don’t forget to carry
the 1 from the 100s column)


PartialProducts
Multiplication with Decimals
4.7 * 2.36
1. Count the number of decimal
places in each factor.

1 decimal place in 4.7
2 decimal places in 2.36

2. Add the number of
decimal places. This is how many
Decimal places there will
be in the product.

1 + 2 = 3 decimal places

3. Multiply the factors as
if they were whole numbers:

47 * 236 = 11,092 (see
above)

4. Start at the right of
the product. Move left the number of decimal places that you counted in
step (1)

11092. Move the decimal 3
places to the left:
11.092
4.7 * 2.36 = 11.092

