Question

How could the partial strategy be applied to 2 digit by 2 digit multiplication problem?

Answer 1

The partial products method for 2 digit by 2 digit multiplication involves breaking down the multiplication into smaller pieces based on place value and then summing the results, as shown with 23 x 45 yielding a product of 1035.

Step-by-step explanation:

The partial products method is a technique for multiplying two-digit numbers where you break down the multiplication into smaller, more manageable pieces based on place value, and then add the results. To apply this to a 2 digit by 2 digit multiplication problem, let's take the example of 23 x 45:

1. Multiply the ones place of both numbers: 3 x 5 = 15.
2. Multiply the tens place of the first number by the ones place of the second number: 20 x 5 = 100.
3. Multiply the ones place of the first number by the tens place of the second number: 3 x 40 = 120.
4. Multiply the tens place of both numbers: 20 x 40 = 800.
5. Add all of the results together: 15 + 100 + 120 + 800 = 1035.

Thus, the product of 23 x 45 using the partial products method is 1035.

Answer 2

The partial product method involves multiplying each digit of one number in turn with each digit of another where each digit keeps its place. (So ​​the 2 in 23 would actually be 20.) For example, 23 x 42 would become (20 x 40) + (20 x 2) + (3 x 40) + (3 x 2).

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