Best Answer

The rules for identifying significant figures when writing or interpreting numbers are as follows:

1. All non-zero digits are considered significant. For example, 91 has two significant figures (9 and 1), while 123.45 has five significant figures (1, 2, 3, 4 and 5).

2. Zeros appearing anywhere between two non-zero digits are significant. Example: 101.1203 has seven significant figures: 1, 0, 1, 1, 2, 0 and 3.

3. Leading zeros are not significant. For example, 0.00052 has two significant figures: 5 and 2.

4. 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). In addition, 120.00 has five significant figures since it has three trailing zeros.

More answers

The rules for identifying significant figures when writing or interpreting numbers are as follows:

1. All non-zero digits are considered significant. For example, 91 has two significant figures (9 and 1), while 123.45 has five significant figures (1, 2, 3, 4 and 5).

2. Zeros appearing anywhere between two non-zero digits are significant. Example: 101.1203 has seven significant figures: 1, 0, 1, 1, 2, 0 and 3.

3. Leading zeros are not significant. For example, 0.00052 has two significant figures: 5 and 2.

4. 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). In addition, 120.00 has five significant figures since it has three trailing zeros.

1. Always count nonzero digits

Example: 21 has two significant figures, while 8.926 has four

2. Never count leading zeros

Example: 021 and 0.021 both have two significant figures

3. Always count zeros which fall somewhere between two nonzero digits

Example: 20.8 has three significant figures, while 0.00104009 has six

4. Count trailing zeros if and only if the number contains a decimal point

Example: 210 and 210000 both have two significant figures, while 210. has three and 210.00 has five

5. For numbers expressed in scientific notation, ignore the exponent and apply Rules 1-4 to the mantissa

Example: -4.2010 x 1028 has five significant figures

1. Zeros between number are significant figures.

303 is 3 sig. fig.

3003 is 4 sig. fig.

2. Zeros before a number is not a significant figure.

3. Zeros after a decimal place is a significant figure.

4. Zeros after a number can be a sig. fig. depending on what is required

54000 can be 2 sf, 3sf, 4sf and 5sf

See the link below.

Q: Rules to follow in determining the number of significant figures?

Write your answer...

Submit

Still have questions?

Continue Learning about Natural Sciences

The number 1.84 x 103 has three significant figures, 1.84. The 103 part of the number does not count when determining significant figures.

= significant figures = and got For addition and subtraction, the result should have as many decimal places as the measured number with the smallest number of decimal places.

There are 3 significant figures in this number.

There are 6 significant figures in this number.

4.884 has four significant figures and 2.25 has three significant figures. 4.884 x 2.25 = 10.989 = 11.0 rounded to three significant figures. When multiplying or dividing, the result must have the same number of significant figures as the number in the problem with the fewest significant figures.

Related questions

You count the number of figures from left to right starting with the first number different from 0. Example: 205 has 3 significant figures 0.0000205 has 3 significant figures 0.000020500000 has 8 significant figures

rules to follow in determining the number of sigificant * zero's are not significant at the end of the whole number which does not have a decimal point * EXAMPLE: 3400 ( 2 sf's) 2000 (2sf's)*

see the link below

The number 1.84 x 103 has three significant figures, 1.84. The 103 part of the number does not count when determining significant figures.

= significant figures = and got For addition and subtraction, the result should have as many decimal places as the measured number with the smallest number of decimal places.

addition multiplication division subtraction

If your question was 'what is 216 to one significant figure', the answer would be 2. This is because the two means two hundred. If your number was 0.216 and you had to round it to one significant figure it would also be 2, but if your number is 0.203 and you had to round it to two significant figures you would say 20 this is because you only count the zeros as significant figures after an actual number. For example; 0.31 to two significant figures would be 31 but 0.301 to two significant figures would be 30.

Three significant figures are in this number.

The number 805 has three significant figures.

If the conversion factor is exact, then the number of significant figures in the answer is the same as the number of significant figures in the original number.If the conversion factor is an approximation, then the number of significant figures in the result is the lesser of this number and the number of significant figures in the original number.

The least number of significant figures in any number of the problem determines the number of significant figures in the answer.

There are six significant figures in this number (i.e. all the figures here are significant).