What are the partial products of 28 times 14?

Answer 1

To find the partial products of 28 times 14, you would multiply each digit in the ones place of the second number (4) by each digit in the ones place of the first number (8), resulting in 32. Next, you would multiply each digit in the tens place of the second number (1) by each digit in the ones place of the first number (8), resulting in 8. Finally, you would add these two products together to get the final answer of 392.

Answer 2

The partial products of 28 x 14 are 112 and 280.

28 = 8 + 20

⇒ 28 x 14 = 8 x 14 + 20 x 14

= 112 + 280

14 = 4 + 10

⇒ 28 x 14 = 28 x 4 + 28 x 10

= 112 + 280

The partial products are the same in the different splits as 28 = 2 x 14.

If the numbers had been, say, 17 x 28 then:

28 = 8 + 20

⇒ 28 x 17 = 8 x 17 + 20 x 17

= 136 + 340

17 = 7 + 10

⇒ 28 x 17 = 28 x 7 + 28 x 10

= 196 + 280