1. What is Rounding to Nearest Hundredth?

Rounding to the nearest hundredth means adjusting a number to have exactly two decimal places. This is commonly used in financial calculations, measurements, and statistics where precision to two decimal places is required.

2. How Does the Calculator Work?

The calculator uses the following formula:

Where:

• \( x \) — The original number to be rounded
• \( \lfloor \rfloor \) — Floor function (rounds down to nearest integer)

Explanation: The formula multiplies the number by 100, adds 0.5, floors the result (which effectively rounds to nearest integer), then divides by 100 to restore the decimal places.

3. When to Use This Calculation

Details: Rounding to hundredths is essential in financial transactions (currency), scientific measurements, and any situation requiring two decimal places of precision while maintaining proper rounding rules.

4. Using the Calculator

Tips: Simply enter any number (integer or decimal) and the calculator will display the value rounded to two decimal places according to standard rounding rules.

5. Frequently Asked Questions (FAQ)

Q1: How does this differ from regular rounding?
A: This uses mathematical rounding (adding 0.5 before flooring) which properly handles the "round up if ≥ 0.5" rule.

Q2: What about negative numbers?
A: The same formula works for negative numbers, rounding away from zero when appropriate.

Q3: Why multiply by 100 and then divide by 100?
A: This shifts the decimal point two places to handle the hundredths place rounding.

Q4: How does this compare to PHP's round() function?
A: This replicates the behavior of round(x, 2) in PHP, using floor() to achieve the same result.

Q5: Can I round to other decimal places with this method?
A: Yes, for thousandths use 1000 instead of 100, for tenths use 10, etc.