Partial Products Calculator

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

Product 1,081

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

Step-by-step with your numbers:

1. Values used:

2. First number = 23

3. Second number = 47

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

Did we solve your problem today?

The partial-products method multiplies by splitting numbers into place values and adding the pieces.

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.