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.zero digits,that occur between non zero digits are significant. 2.zero digits m that occur between non zero digits are sugnificant 3.zeros at the beginning of a number is significant. 4.zeros that occur at the end of a number that include an expressed decimal are significant. 5.zeros that occur at the end of a number w/o an expressed decimal point are ambiguous and not significant. hope it's ok by the way,iu am genard.. thank you..
* Zeros within a number are always significant. Both 4308 and 40.05 contain four significant figures. * Zeros that do nothing but set the decimal point are not significant. Thus, 470,000 has two significant figures. * Trailing zeros that aren't needed to hold the decimal point are significant. For example, 4.00 has three significant figures. * If you are not sure whether a digit is significant, assume that it isn't. For example, if the directions for an experiment read: "Add the sample to 400 mL of water," assume the volume of water is known to one significant figure.
The rules for identifying significant figures when writing or interpreting numbers are as follows:
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).
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.
Leading zeros are not significant. For example, 0.00052 has two significant figures: 5 and 2.
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.
Rules on counting significant figures/digits:
1. The number zero, 0, has 1 significant figure.
2. All nonzero digits are significant. Any 0-digit in-between nonzero digits is counted.
For example, 34.153 has 5 significant figures and 209 has 3 significant figures.
3. Trailing zeros are significant. For example, the number 5.30000 has 6 significant
figures.
4. Any nonzero integer that is divisible by 10 is ambiguous. In other words, any nonzero
integer that ends with the digit zero, 0, is considered as ambiguous. For example, 10,
500, 200, 1,000 and one million=1,000,000 are all considered as ambiguous. However,
we can clarify those numbers that are ambiguous by rewriting them in scientific
notations. For instance, has one significant figure and has 3
significant figures.
5. We don't count leading zeros. For example, 0.0000315 has 3 significant figures
because all the zeros before the first nonzero digit, 3, are not counted. Why do we not
count the leading zeros? The reason is that we can rewrite the number 0.0000315 into
scientific notation. That is, 0.0000315=
. So, only 3 digits are needed in the
first factor.
For example, count the number of significant figures/digits.
1. 400 ambiguous
2. 4.014 4 significant figures
3. 7.1091×103 5 significant figures
4. 90 ambiguous
5. 0.00023404 5 significant figures
4 significant figures.
There are 3 significant figures in 94.2.
4487 has four significant figures.
101330 has 6 significant figures.
If the zeros are significant figures then 900 is correct to 3 significant figures. If rounding off has occurred then the answer could be 1 sf or 2sf. For example : If the original number was 903 and rounding off to the nearest ten was required then 900 is correct to 2 significant figures. If the number was 927 and rounding off to the nearest hundred was required then 900 is correct to 1 significant figure.
The least number of significant figures in any number of the problem determines the number of significant figures in the answer.
There are five significant figures in the given value. It is according to the rule of significant figures which say that zeros right to the decimal point are significant and all non zero digits are significant So , all the digits in the given value are significant figures i.e 5 significant figures.
the decimal place in the quotient or product should be based in the decimal place of the given with the least significant figures
There are 2 because of the leading zeros rule. Zeros at the beginning of a number are never significant.
4 significant figures.
There are 4 significant figures in 0.0032. Seems to be only 2 significant figures in this number.
There are 3 significant figures in 94.2.
The significant figures are the first four non-zero digits - with the last of these adjusted if the following digit is 5 or more. [This is the crude school rule rather than the bias-free, IEEE approved rule.] So the answer is 2231000.
There are four significant figures in 0.1111.
3 significant figures.
4487 has four significant figures.
There are four significant figures in 0.005120.