How this calculation works
Decimal places set the increment by position after the decimal point. Significant figures derive it from the first nonzero digit. A multiple such as 0.05 defines the increment directly.
Divide by the rounding increment, round to an integer using the chosen tie rule, then multiply by the increment.A worked example
12.345 to two decimal places is halfway between 12.34 and 12.35. The away-from-zero tie rule gives 12.35.
Good to know
Decimal input supports up to 120 coefficient digits and a bounded exponent. Reported significant figures describe rounding, not measurement uncertainty.
How the inputs affect the result
Use the tie rule from your reporting convention. Round at the final stage when possible because repeated rounding can change the last digit.
The exact halfway value rounds to the even hundredth.
Where the calculation applies
Decimal input supports up to 120 coefficient digits and a bounded exponent. Reported significant figures describe rounding, not measurement uncertainty.
For a related calculation, see the Scientific notation calculator.
A few questions, answered
How does the even tie rule handle 12.345?
At two decimal places, it chooses 12.34 because 1234 is the even multiple of 0.01.
What does the “Halfway to even” setting illustrate?
The exact halfway value rounds to the even hundredth.