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relearn
relearn asks:
Q:

What is partial product in math?

In Topics: Helping my child with school work and home work
> 60 days ago

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Answers (1)

pigtoria
pigtoria writes:
Hi Relearnâ¦..

Partial product is a method of doing multiplication in math.  The reason itâs called âpartial productâ or âpartial answerâ (the word âproductâ means answer in multiplication just like âsumâ means answer in addition) is because you are doing many âpartsâ of a larger multiplication.  To get to the final answer, you must add up all âpartsâ.

Besides breaking down the multiplication process into parts, another focus of partial product method is to write the number into its place values.  In other words, all numbers (with the exception of the number in the one value) will end in zero â which makes multiplication easier and faster.  

Hereâs an example:

123
x 4
--------

Rewrite or breakdown 123 as 100 + 20 + 3
**The number 4 doesnât need to be rewrite because itâs in the one value.**

Multiply each of the above value to 4 and you get:

100 x 4 = 400
20 x 4 = 80
3 x 4 = 12

Add the products/answers together, and youâll get = 492
Check your answer by multiplying 123 x 4 = 492

Hereâs another example:
   45
x  78
-------------

Rewrite 45 as 40 + 5
Rewrite 78 as 70 + 8

Multiply the top row of numbers to the bottom row of numbers:

40 x 70 = 2800
40 x 8 = 320
5 x 70 = 350
5 x 8 = 40

Add the products/answers together = 3510
Check your answer by multiplying 45 x 78 =3510

Hope this helps!

Vicki
> 60 days ago

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