1. What is Rounding to the Nearest Hundredth?

Rounding to the nearest hundredth means adjusting a number to have exactly two decimal places. This is commonly used for currency calculations, measurements, and other precise calculations where two decimal places are standard.

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 (to implement rounding), floors it to the nearest integer, then divides by 100 to restore the decimal places.

3. Importance of Rounding

Details: Proper rounding is essential in financial calculations, scientific measurements, and statistical reporting to maintain appropriate precision without excessive decimal places.

4. Using the Calculator

Tips: Enter any numerical value (positive or negative) and the calculator will return the value rounded to two decimal places (hundredths place).

5. Frequently Asked Questions (FAQ)

Q1: How is this different from regular rounding?
A: This specifically rounds to exactly two decimal places, while regular rounding can be to any number of decimal places or significant figures.

Q2: What's the difference between hundredth and hundred?
A: Hundredth refers to the second decimal place (0.01), while hundred refers to the hundreds place in whole numbers (100).

Q3: Does this work for negative numbers?
A: Yes, the formula works the same way for negative numbers, rounding them to the nearest hundredth.

Q4: When would I need to round to hundredths?
A: Common uses include financial calculations (currency), grade point averages, and precise measurements in sciences.

Q5: How does this compare to banker's rounding?
A: This uses standard rounding (up at 0.5), while banker's rounding rounds to the nearest even number when exactly at 0.5.