Round to the Nearest Integer Calculator
Round decimal numbers to the nearest whole number with various rounding methods
Calculate Rounded Integer
Enter any decimal number to round to the nearest integer
Choose how to handle numbers ending in 0.5
Rounding Examples
Standard Cases
Half-Integer Cases (0.5)
Rounding Methods
Half Up
Standard method: 0.5 rounds away from zero
4.5 → 5, -4.5 → -5
Half Even
Banker's rounding: 0.5 rounds to nearest even
4.5 → 4, 5.5 → 6
Floor/Ceiling
Always round down/up respectively
4.1 → 4/5, 4.9 → 4/5
Rounding Tips
Integer part stays the same if decimal part < 0.5
Integer part increases by 1 if decimal part > 0.5
For 0.5, the rule depends on the rounding method chosen
Negative numbers follow the same distance rules
Understanding Integer Rounding
What is Rounding to the Nearest Integer?
Rounding to the nearest integer means converting a decimal number to the closest whole number. This process removes the fractional (decimal) part and keeps only the integer part, adjusting it based on the value of the decimal part.
General Rounding Rules
- •If decimal part is 0.0, keep the integer part unchanged
- •If decimal part is between 0.0 and 0.5 (exclusive), round down
- •If decimal part is between 0.5 (exclusive) and 1.0, round up
- •If decimal part is exactly 0.5, apply chosen rounding rule
Special Case: Half-Integer Numbers
Numbers ending in exactly 0.5 are equidistant from two integers, creating ambiguity. Different rounding methods handle this case differently:
Half Up (Most Common)
Always rounds 0.5 away from zero
4.5 → 5, -4.5 → -5
Half Even (Banker's)
Rounds 0.5 to the nearest even integer
4.5 → 4, 5.5 → 6
Half Down
Always rounds 0.5 toward zero
4.5 → 4, -4.5 → -4
Why Different Rounding Methods?
Statistical Accuracy
Half Even (Banker's) rounding reduces bias in statistical calculations by ensuring equal probability of rounding up or down over many calculations.
Financial Applications
Consistent rounding methods are crucial in financial calculations where small differences can accumulate to significant amounts.
Educational Standards
Different educational systems and mathematical contexts may prefer different rounding conventions for consistency.