Quick guide
How to use this calculator
- Enter the non-negative multiplicand.
- Enter the non-negative multiplier.
- Read the exact product and open the partial products.
Calculation method
How long multiplication builds the product
The calculator removes the decimal points temporarily, multiplies the integer digits, and creates one shifted partial product for each multiplier digit.
It then restores the decimal point using the combined number of fractional places in the two inputs. No floating-point conversion or intermediate rounding is used.
Worked example
Multiply 123.45 by 6.7
Multiply 12,345 by 67 using partial products, then place the decimal point three positions from the right.
123.45 × 6.7 = 827.115
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
Partial products show the contribution of every multiplier digit.
Clear syntax
Grouping separators, scientific notation, fractions, and symbols are not accepted.