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Rounding Calculator
Round numbers using various methods

Use negative values to round to tens (-1), hundreds (-2), etc.

Rounding Methods
Half Up (Standard)

Round 0.5 up: 2.5 → 3, 3.5 → 4

Half Down

Round 0.5 down: 2.5 → 2, 3.5 → 3

Half Even (Banker's)

Round 0.5 to even: 2.5 → 2, 3.5 → 4

Ceiling / Floor

Always up (⌈⌉) or always down (⌊⌋)

Truncate

Remove decimals toward zero

Precision Examples

Decimal Places:

123.456 → 2 places = 123.46

123.456 → -1 places = 120

Significant Figures:

123.456 → 3 sig figs = 123

0.00456 → 2 sig figs = 0.0046

What is Rounding?

Rounding is a mathematical process of approximating a number to a nearby value with fewer significant digits or decimal places. It's essential in everyday calculations, scientific measurements, financial transactions, and computer science. Different rounding methods exist to handle the ambiguous case when the digit to be dropped is exactly 5, each with specific use cases and applications.

The choice of rounding method can significantly impact results, especially in iterative calculations or when dealing with large datasets. Banker's rounding (round half to even) is commonly used in financial applications to minimize cumulative bias, while standard rounding (round half up) is more intuitive for general purposes.

How to Use This Calculator

Enter the number you want to round, select a rounding method, choose between decimal places or significant figures for precision, and specify the precision level. The calculator will apply your chosen rounding method and display the result. Enable step-by-step explanation to see exactly how the rounding is performed, which is helpful for learning or verification.

Use negative precision values for decimal places to round to tens (-1), hundreds (-2), or thousands (-3). The method comparison feature allows you to see how different rounding methods would affect the same number, which is useful when choosing the most appropriate method for your application.

Disclaimer

Rounding results depend on the selected method and precision. Different rounding rules may produce different outcomes for the same number. This calculator is for educational and general purposes. For critical financial or scientific applications, verify results and consult relevant standards for the appropriate rounding method.

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