Math

Partial Products Calculator

Multiply two numbers and see the product (partial-products method).

Calculated Output

Product 1,081

Formula: Break each number by place value, multiply, then add

Step-by-Step Breakdown

1. Values used:

2. First number = 23

3. Second number = 47

5. Product = First number x Second number = 23 x 47 = 1,081

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The math behind it

23 × 47 = (20 + 3)(40 + 7) = 20·40 + 20·7 + 3·40 + 3·7 = 800 + 140 + 120 + 21 = 1081.

23 × 47 = 1081.

Why teach it this way?

It builds understanding of place value before moving to the standard algorithm.