Partial products
We want to find the partial products of 43 x 17
Since 43 = 40 + 3
and 17 = 10 + 7
then
43 x 17 = (40 + 3) x (10 + 7)
We find all the partial products by multiplying one term of the first addition with one term of the second:
43 x 17 = (40 + 3) x (10 + 7)
= (40 x 10) + (40 x 7) + (3 x 10) + (3 x 7)
= 400 + 280 + 30 + 21
Answer: the partial products of 43 x 17 are: 400, 280, 30, 21