Answer: 0.667. We stop at the fourth place of decimals. You’re welcome.

Measurements have a certain number of significant figures or values that tell you about the measuring device. In the case of the measurement above, all of the digits are significant. The estimated value is significant because it helps define the precision of the device being used to measure.

Rounding to significant figures

1. look at the first non-zero digit if rounding to one significant figure.
2. look at the digit after the first non-zero digit if rounding to two significant figures.
3. draw a vertical line after the place value digit that is required.
4. look at the next digit.
5. if it’s 5 or more, increase the previous digit by one.

To round off to three decimal digits, we must look at the digit in the fourth place. The digit in the fourth place is 8 (greater than 5). Therefore, we add 1 to the previous digit 3.

two sig figs

This number has three significant figures. Trailing zeros, which are zeros at the end of a number, are significant only if the number has a decimal point. Thus, in 1,500, the two trailing zeros are not significant because the number is written without a decimal point; the number has two significant figures.

ONE significant figure

To express a number like 1000 to 2 or 3 significant figures, you need to use scientific notation, for example, “1.00e3” would give you 3 significant figures.

How Many Significant Figures?

Review with Significant Figures

two significant figures

There are 6 significant digits. The zeros to the right of the decimal point are significant because they are trailing zeros to the right of a decimal point. The zeros to the right of the 5 are significant because they are between significant digits.

Significant Figures

• All non-zero numbers ARE significant.
• Zeros between two non-zero digits ARE significant.
• Leading zeros are NOT significant.
• Trailing zeros to the right of the decimal ARE significant.
• Trailing zeros in a whole number with the decimal shown ARE significant.

Only $2.99/month. significant figures. include all known digits plus one estimated digit. rules.

Non-zero numbers, zeros between non-zeros, and zeros to the right of non-zero number—if there is a decimal point—are significant. Zeros to the left of non-zero numbers are only place-holders and are never significant. While the two zeros to the left of 2 are not significant, the other digits are.

The number of significant figures a number has is: The total NUMBER of DIGITS that are used to represent it accuratey Eg: 7553 has 4 significant figures(4sf). 15.101 has 5 significant figures(5sf).

To determine the number of significant figures in a number use the following 3 rules: Non-zero digits are always significant. Any zeros between two significant digits are significant. A final zero or trailing zeros in the decimal portion ONLY are significant.

Leading zeros (zeros before non-zero numbers) are not significant. Trailing zeros in a number containing a decimal point are significant. For example, 12.2300 has six significant figures: 1, 2, 2, 3, 0, and 0. The number 0.000122300 still has only six significant figures (the zeros before the 1 are not significant).

Any zeros “sandwiched” between two significant figures become significant figures. If significant figures are numbers we know with confidence, than we must be confident about the numbers in between. The “1” and the “2” are non-zero so they are significant, and they “sandwich” two zeros between them.

A leading zero is any 0 digit that comes before the first nonzero digit in a number string in positional notation. For example, James Bond’s famous identifier, 007, has two leading zeros. When leading zeros occupy the most significant digits of an integer, they could be left blank or omitted for the same numeric value.

Since the zeroes are not trailing or located between two non-zero digits, there are no zeroes in 0.0079.

Trailing zeros in a number containing a decimal point are significant. For example, 12.2300 has six significant figures: 1, 2, 2, 3, 0, and 0. The number 0.000122300 still has only six significant figures (the zeros before the 1 are not significant). Therefore, any zeros after the decimal point are also significant.