Question

Which of the following are partial products for 43x17 choose all that applyA. 3B.21C.28D.40E.40.

Answer 1

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