What are the steps of partial products?

Answer 1

Partial products are a method of multiplying two numbers which are larger than 10.

1. Break up each number into the number of ... , thousands, hundreds, tens, units.
2. Multiply the first part of the first number by the first part of the second number.
3. Then multiply the first part of the first number by the second part of the second number.
4. Continue until you have done the last part of the second number.
5. Now repeat with the second part of the first number.
6. Continue until you have done the last part of the first number.
7. Add together all the multiples.

For example, 234 * 567

234 = 200 + 30 + 4

567 = 500 + 60 + 7

200*500 = 100000

200*60 = 12000

200*7 = 1400

30*500 = 15000

30*60 = 1800

30*7 = 210

4*500 = 2000

4*60 = 240

4*7 = 28

and then,

100000 + 12000 + 1400 + 15000 + 1800 + 210 + 2000 + 240 + 28 = 132678