Question

The model shows 41 × 32. write the partial products.

Answer 1

41 × 32 using partial product we get the answer, 1312

Explanation:

the partial product is defined as

Break 41 as (40+1)

and 32 as (30+2)

Since,

Partial-products multiplication is based on the distributive, or grouping, property of multiplication.

And also Multiply each Digits of one factor by each of the digits in the others

Use the partial product we have,

`41 * 32= (40+1)(30+2) =40(30+2)+1(30+2)`

By using distributive property :
`a(b+c)=a\cdot b+a\cdot c`

`=(40 * 30 +40* 2)+(1 * 30 +1* 2)`

`=(1200+80)+(30+2)`

=1280+32=1312