1. What is Rounding?

Rounding means reducing the digits in a number while keeping its value similar. The result is less precise but easier to use in calculations or communication.

2. How Does Rounding Work?

The calculator uses standard rounding (round half up):

Where:

• \( x \) — The number to be rounded
• \( \text{digits} \) — Number of decimal places to keep

Explanation: Numbers are rounded to the nearest value with the specified decimal places. If the digit after the rounding position is 5 or greater, the number is rounded up.

3. Common Rounding Methods

Details: This calculator uses the most common rounding method (round half up). Other methods include round half down, round half to even (banker's rounding), and truncation.

4. Using the Calculator

Tips: Enter any number and specify how many decimal places you want to keep. The calculator will return the rounded value.

5. Frequently Asked Questions (FAQ)

Q1: What happens when the digit is exactly 5?
A: In this implementation, it rounds up (e.g., 2.5 rounds to 3 when rounding to whole numbers).

Q2: How many decimal places can I specify?
A: Up to 10 decimal places in this calculator.

Q3: Does rounding affect calculation accuracy?
A: Yes, rounding introduces small errors. For precise calculations, keep more decimal places and only round final results.

Q4: What's the difference between rounding and truncating?
A: Rounding considers the next digit while truncating simply cuts off digits after the specified position.

Q5: How is negative number rounding handled?
A: The same rules apply (e.g., -2.5 rounds to -3 when rounding to whole numbers).