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# Round to Sig Figs Calculator Online

The Round to Sig Figs Calculator helps you round numbers to a specified number of significant figures. Significant figures are the digits in a number that carry meaning and contribute to its precision. This calculator is useful in fields like science, engineering, and finance where precision is crucial.

## Formula of Round to Sig Figs Calculator

The process of rounding a number to significant figures involves several steps:

Formula Steps:

1. Identify the Significant Figures:
• Let x be the number you want to round.
• Let n be the number of significant figures you want.
2. Scale the Number:
• Determine the order of magnitude of x by finding k, where k is the number of digits before the decimal point.
• Calculate the scale factor: scale_factor = 10^(k-n).
3. Round the Scaled Number:
• Scale the number: scaled_number = x / scale_factor.
• Round the scaled number to the nearest integer: rounded_scaled_number = round(scaled_number).
4. Rescale the Number:
• Multiply the rounded scaled number by the scale factor to get the rounded number: rounded_number = rounded_scaled_number * scale_factor.

## Common Terms and Useful Tables

Here are some common terms and conversions related to significant figures:

Here is a useful table for common numbers rounded to different significant figures:

## Example of Round to Sig Figs Calculator

Let's go through an example to see how the formula works:

• Suppose x = 12345 and we want to round it to 3 significant figures.
• Identify the significant figures: n = 3.
• Scale the number: k = 5 (number of digits before the decimal point).
• Calculate the scale factor: scale_factor = 10^(5-3) = 10^2 = 100.
• Scale the number: scaled_number = 12345 / 100 = 123.45.
• Round the scaled number: rounded_scaled_number = round(123.45) = 123.
• Rescale the number: rounded_number = 123 * 100 = 12300.