Arithmetic Operations

Partial Products Calculator

Break multiplication into place-value contributions and inspect how every partial product builds the exact total.

Exact arithmetic

Enter the two factors

Exact partial products

Exact product

Enter valid values to see the result.

Your entries are calculated in this browser and are not submitted to 365CALCS.COM.

Quick guide

How to use this calculator

  1. Enter a non-negative multiplicand.
  2. Enter a non-negative multiplier.
  3. Open the working to inspect per-digit products, carries, and shifted rows.

Calculation method

Each multiplier digit creates one shifted product

The calculator multiplies the first integer coefficient by each digit of the second, records the carries, and shifts each row according to that digit's place.

It sums those rows and restores the decimal point from the combined fractional scales. This page reuses the verified long-multiplication engine.

Worked example

Build 23 × 14 from partial products

The ones digit contributes 92 and the tens digit contributes 230; their sum is 322.

23 × 14 = (23 × 4) + (23 × 10) = 92 + 230 = 322

Supported inputs

Precision and limits

Exact decimals

Each factor may contain up to 200 digits and 100 decimal places.

Non-negative inputs

This written layout accepts zero and positive whole numbers or decimals.

Visible working

Per-digit multiplication, carries, shifts, and the final sum are exposed.

Clear syntax

Grouping separators, fractions, and scientific notation are not accepted.