# Significant figures

Significant figures are the digits in a number that are used to express its precision. The number of significant figures in a number can be determined by counting the number of digits that are not zeros. Leading and trailing zeros are not counted as significant figures.

### What are the 5 Rules for significant figures?

1. All non-zero digits are significant.
2. Zeros between non-zero digits are significant.
3. Zeros to the left of the first non-zero digit in a number are not significant.
4. Zeros to the right of a decimal point in a number are always significant.
5. Zeros to the right of a non-zero digit but not to the right of a decimal point may or may not be significant.

#### How do you find significant figures?

In order to find the number of significant figures in a given number, you must first identify which digits in the number are considered "significant." All non-zero digits are always significant, and any zeros in between two non-zero digits are also significant. Zeros at the beginning of a number (before the first non-zero digit) are not significant, and zeros at the end of a number (after the last non-zero digit) are only significant if the number contains a decimal point.

For example, consider the number 12,000. The first two zeros are not significant, because they come before the first non-zero digit. The last zero is significant, because it comes after the last non-zero digit (2) and there is no decimal point. Therefore, the number 12,000 has three significant figures.

Now consider the number 0.0012. The first zero is not significant, because it comes before the first non-zero digit. The second and third zeros are significant, because they come after the last non-zero digit (2) and there is a decimal point. Therefore, the number 0.0012 has three significant figures.

### What are 3 significant figures examples?

When writing numbers in scientific notation, all zeroes between non-zero digits are significant. For example, the number 0.0030 has 3 significant figures.

When writing out numbers in decimal form, zeroes to the left of the first non-zero digit are not significant. For example, the number 0.0030 has 2 significant figures.

When writing out numbers in fraction form, zeroes to the right of the decimal point are not significant. For example, the number 3/4 has 2 significant figures. How many significant figures is 1234? The number 1234 has four significant figures.

How many significant figures is 1000? The number of significant figures in a number is defined as the number of digits that are known with certainty. In the case of 1000, there are four significant figures. This is because the first digit (1) is certain, and the last three digits (000) are assumed to be certain because they are zeros.