Unit 11 Contents

Nicholas showed how to solve 12 24 using the compact method. He first multiplied 2 24. To do this, he multiplied 2 4 to get 8 and wrote the 8 in the ones column. He then multiplied 2 20 to get 40 and wrote 4 in the tens column.

For the next part of the problem, Nicholas multiplied 10 24. He first multiplied 10 4 to get 40.

Then he multiplied 10 20 to get 200.

Nicholas then added to get 288.

The products that are added together in the compact method are called partial products. The final product is the sum of all the partial products.

11. Solve 12 24 using Frank's “combination” method. How do your partial products compare with Nicholas's partial products?
12. What did you multiply to get each of your partial products using the “combination” method? What did Nicholas multiply to get each of his partial products using his compact method?