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LESSON 9 Paper-and-Pencil Multiplication
To solve a problem like 46 3 using expanded form, you break 46 into tens and ones.
46 = 40 + 6
Then you multiply each part by 3.
Multiplying with the All-Partials Method
Here is another way to record your work. It is called the all-partials method because all the products are written down, not just the final answer:
It does not matter whether you multiply the tens or the ones first. You can also record your work like this:
- Find the number 120 in the three problems above. What numbers do you multiply to get 120 in each problem?
- Find the number 18 in the three problems above. What numbers do you multiply to get 18 in each problem?
- How are the expanded-form method and the all-partials method alike?
- How are the two methods different?