What is partial product with examples?

Partial product is a multiplication strategy that breaks down a multiplication problem into smaller, easier calculations. This strategy is often used when multiplying multi-digit numbers.

In partial product, each digit in one number is multiplied by each digit in the other number separately, and then these individual products are added together to get the final answer.

For example, let's consider the multiplication problem 23 x 14 using partial product:

1. Multiply the units digits: 3 x 4 = 12
2. Multiply the tens digit in the first number by the units digit in the second number: 2 x 4 = 8
3. Multiply the units digit in the first number by the tens digit in the second number: 3 x 1 = 3
4. Multiply the tens digits: 2 x 1 = 2

Now, add these partial products together: 12 (from step 1) + 8 (from step 2) + 3 (from step 3) + 2 (from step 4) = 25

So, 23 x 14 = 322

Partial product is a helpful technique to break down complex multiplication problems into simpler steps, making it easier to calculate the final product.