- Rounded value
- 123.46
How it works
Decimal places do not enforce cash increments
Rounding 1.03 to two decimal places leaves 1.03, while rounding to the nearest 0.05 gives 1.05. Choose increment rounding when permitted amounts follow fixed steps rather than simply a fixed number of decimal digits.
Choosing a rounding place and tie rule
Rounding changes a value to a chosen level of precision or to a multiple of an increment. Select the rule explicitly when halfway cases matter, especially for negative values. Rounding to decimal places is different from rounding to a cash increment. Keep full intermediate precision when possible, because rounding each step can produce a different final result from rounding once at the end.
Round a number: formula and assumptions
Decimal rounding selects the closest multiple of 10^(−digits).
Decimal arithmetic avoids binary floating-point surprises at decimal halfway points. Halfway values round away from zero.
Increment & rounding rule: formula and assumptions
Rounded value=increment×round(value/increment), using the selected tie rule.
Half-up terminology can differ between tools. Finflo spells out the direction of each tie rule.
Worked example
Using the Round a number example:
- Number
- 123.4567
- Digits
- 2
- Rounding
- Decimal places
Decimal rounding selects the closest multiple of 10^(−digits).
Example result
Rounded value: 123.46
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
Are decimal places and significant figures the same?
No. Decimal places count positions after the decimal point; significant figures count meaningful digits from the first nonzero digit.
Why might two rounding rules disagree at a halfway value?
Tie rules choose different directions. The increment mode names the selected behavior explicitly so that halfway cases can be interpreted correctly.
Prepared by Finflo. See our methodology and editorial policy.