Rounding Calculator: Round to Nearest, Tenths, Hundredths & 9 Methods
Free rounding calculator: round decimals to tenths, hundredths, or thousands. Compare Round Half Up, Half Down, Ceiling, Floor, Banker's rounding. Nine methods, real-time. No sign-up.
What This Rounding Calculator Does
This rounding calculator rounds numbers to any specified precision: round to tenths, round to hundredths, round to thousandths, or whole-number places (ones through millions). It compares nine rounding methods in real time: Round to the nearest (default), Round Half Up, Round Half Down, Round Up (Ceiling), Round Down (Floor), Round Half to Even (banker's rounding), Round Half to Odd, Round Half Away from Zero, and Round Half Towards Zero. Enter a number and see every result instantly. All processing runs locallyโno data sent.
When Exactly 0.5: Half Up, Half Down, Half to Even
The hardest case is when the digit to round is exactly 5. Round Half Up (default) rounds away from zero: 2.5 โ 3, -2.5 โ -3. Round Half Down rounds toward zero: 2.5 โ 2, -2.5 โ -2. Round Half to Even (banker's rounding) rounds to the nearest even: 2.5 โ 2, 3.5 โ 4. This reduces cumulative bias when rounding many numbers and is used in IEEE 754 and financial systems. Round Half to Odd is the counterpart: 2.5 โ 3, 3.5 โ 3.
Ceiling and Floor: Always Up or Down
Round Up (Ceiling) always rounds toward +โ: 2.1 โ 3, -2.1 โ -2. Round Down (Floor) always rounds toward โโ: 2.9 โ 2, -2.9 โ -3. For negative numbers: Ceiling moves toward less negative, Floor toward more negative. These differ from "round away from zero" and "round toward zero" only at non-5 digits.
Precision: Round to Tenths, Hundredths, Fractions
Use round decimals for tenths (1 dp), hundredths (2 dp), thousandths (3 dp), up to millionths (6 dp). Whole-number precision rounds to ones, tens, hundreds, thousands, ten thousands, hundred thousands, or millions. Fraction precision rounds to the nearest 1/2, 1/4, 1/8, 1/16, 1/32, or 1/64โuseful for measurements and recipes.
Rounding Calculator FAQ
? What is Round to the nearest (default)?
Round to the nearest (default) uses Half Up: digits 5 or greater round away from zero. 2.5 โ 3, 2.4 โ 2. It's the standard "round to nearest" method taught in schools and used in everyday math.
? What is Round Half Up vs Round Half Down?
Round Half Up rounds 0.5 away from zero (2.5 โ 3, -2.5 โ -3). Round Half Down rounds 0.5 toward zero (2.5 โ 2, -2.5 โ -2). Half Away from Zero and Half Towards Zero are equivalent to Half Up and Half Down respectively.
? What is Round Half to Even (Banker's rounding)?
Round Half to Even (banker's rounding) rounds ties to the nearest even number: 2.5 โ 2, 3.5 โ 4. Reduces bias when rounding many numbers. Used in finance and IEEE 754 floating-point. Round Half to Odd is the counterpart (2.5 โ 3, 3.5 โ 3).
? What does Up (Ceiling) and Down (Floor) mean?
Up (Ceiling) always rounds toward +โ: 2.1 โ 3, -2.1 โ -2. Down (Floor) always rounds toward โโ: 2.9 โ 2, -2.9 โ -3. For negative numbers: Up moves toward less negative, Down toward more negative.
? How do I round decimals to tenths or hundredths?
Select precision: Tenths (1 decimal place) or Hundredths (2 decimal places). The calculator shows all nine rounding modes side-by-side. Copy results for reports or spreadsheets. Supports fractions (1/2, 1/4, โฆ 1/64) and whole-number precision (ones through millions).