Rounding Calculator

How to Round Numbers

Rounding numbers is a fundamental mathematical operation used to simplify complex numbers or to represent them with a desired level of precision. This process involves adjusting a number to the nearest value of a specified place value.

Formula

The general formula for rounding a number to a specific number of decimal places is:

\[ \text{Rounded Number} = \text{round}(\text{Number} \times 10^n) \div 10^n \]

Where:

• Number is the original number to be rounded
• n is the number of decimal places to round to
• round() is a function that rounds to the nearest integer

Calculation Steps

1. Identify the number of decimal places (n) you want to round to
2. Multiply the original number by 10^n
3. Round this value to the nearest integer
4. Divide the rounded value by 10^n

Example

Let's round 3.14159 to 2 decimal places:

1. n = 2 (we want to round to 2 decimal places)
2. 3.14159 × 10^2 = 314.159
3. round(314.159) = 314
4. 314 ÷ 10^2 = 3.14

Therefore, 3.14159 rounded to 2 decimal places is 3.14.

Visual Representation

This diagram illustrates how 3.14159 is rounded to 3.14, as it's closer to 3.14 than 3.15.