- Result
- 112345678901234567890
How it works
One final digit can matter
The integer 9007199254740993 leaves remainder 1 when divided by 2. Use the exact integer modulo mode for this check; converting a long integer through ordinary floating-point arithmetic can lose its final digit.
Choosing integer or decimal precision
Very large integers and decimal expressions can require different arithmetic methods. Use exact integer operations when all inputs and the requested operation fit that mode. For decimal work, review the precision setting and the displayed limitations. A long result is not automatically an exact result, particularly when division creates a repeating decimal or the selected expression uses an approximate function.
Calculate an expression: formula and assumptions
Evaluate parentheses and functions, then powers, multiplication/division, and addition/subtraction.
Use explicit multiplication, for example 2 * (3 + 4). ln is the natural logarithm and log is base 10. Angle units apply to trigonometric functions.
Exact integer operations: formula and assumptions
Use integer arithmetic and the Euclidean algorithm; n!=1×2×…×n.
Factorial uses only the first input and supports 0–1,000. Modulo returns a nonnegative remainder relative to |divisor|.
Decimal arithmetic & precision: formula and assumptions
Use higher-precision decimal arithmetic and round the displayed answer to the requested decimal places.
Up to 100 decimal places are supported. Inputs and exponents are bounded to keep calculations responsive.
Worked example
Using the Calculate an expression example:
- Angle unit
- Degrees
- Expression
- 12345678901234567890 + 10^20
Evaluate parentheses and functions, then powers, multiplication/division, and addition/subtraction.
Example result
Result: 112345678901234567890
These are illustrative inputs. Change the values to explore a different scenario.
Formula references
References explain the underlying methods; they do not imply endorsement or individual professional review of Finflo.
Common questions
Which mode should I use for precise decimal arithmetic?
Use Decimal arithmetic & precision for the supported basic operations and choose the displayed decimal places, up to 100.
Are all modes unlimited exact arithmetic?
No. Exact integer operations, higher-precision decimal operations and ordinary expressions have different capabilities and explicit size or precision limits.
Prepared by Finflo. See our methodology and editorial policy.