What are examples of partial products in multiplication?

Understand the Problem

The question involves examples of multiplication operations using partial products, specifically mentioning numbers like 124 x 3, 30 x 20, and 3 x 4.

Answer

The products are $372$, $600$, and $12$.

Steps to Solve

Calculate 124 x 3

Break down the multiplication into partial products:

Split 124 into 100, 20, and 4.
Multiply each part by 3:
- $100 \times 3 = 300$
- $20 \times 3 = 60$
- $4 \times 3 = 12$

Now, sum these partial products: $$300 + 60 + 12 = 372$$

Calculate 30 x 20

Again, using partial products:

Split 30 into 30 and 0 (as you are effectively multiplying by 20).
Multiply each part by 20:
- $30 \times 20 = 600$
- $0 \times 20 = 0$

Sum the results: $$600 + 0 = 600$$

Calculate 3 x 4

This is straightforward:

Direct multiplication: $$3 \times 4 = 12$$

The results are:

$124 \times 3 = 372$
$30 \times 20 = 600$
$3 \times 4 = 12$

More Information

These calculations demonstrate how to use the partial products method to break down multiplication into simpler parts, making it easier to understand and compute manually.

Tips

Forgetting to add all partial products together.
Not breaking down numbers correctly into their respective place values.
Confusing the order of operations while summing.

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