When you've finished operating on your numbers to round to 3 sig fig you want to round to the first three digits starting with the first non-zero digit by using the fourth digit (as normal) and then replace all further digits to the right by zeros and removing any digits so changed to zero after a decimal point.
Examples:
12345 to 3 sig fig is 12300 since the 4 does not round up the 3.
124578 to 3 sig fig is 125000 since the 5 rounds up the 4.
0.1234 to 3 sig fig is 0.123 since the 4 does not round up the 3 and the trailing zeros (created) are removed.
0.001234 to 3 sig fig is 0.00123
12984 to 3 sig fig is 13000 since the 8 rounds the 9 up.
0.012984 to 3 sig fig is 0.0130 since the 8 rounds the 9 up.
3333333333.33 to 3 sig fig is 3330000000
The greater the number of significant figures, the greater the precision. Each significant figure increases the precision by a factor of ten. For example pi = 3.14 is accurate to 3 significant figures, while pi = 3.14159 with 6 significant figures is a more accurate representation.
370.0 has four significant figures, because the last zero indicates the precision of the number (to 1 decimal place).
There is one significant figure: 1 The significant figures of a number are those digits that carry meaning contributing to its precision. Leading zeros (the zero before the 1) are not significant.
If the measurement was of such precision that the zero to the right of the 3 could be measured with accuracy, then it has two significant digits {30}.
Three significant figures are in this number.
The greater the number of significant figures, the greater the precision. Each significant figure increases the precision by a factor of ten. For example pi = 3.14 is accurate to 3 significant figures, while pi = 3.14159 with 6 significant figures is a more accurate representation.
There are two significant figures: 2 and 0 The significant figures of a number are those digits that carry meaning contributing to its precision. Leading zeros (the zero before the 2) are not significant.
370.0 has four significant figures, because the last zero indicates the precision of the number (to 1 decimal place).
There are three significant figures: the trailing zeros are significant because they are indicative of the precision of the number.
There a four significant figures in the number 16.82, the last '2' determines the best precision available.
There is one significant figure: 1 The significant figures of a number are those digits that carry meaning contributing to its precision. Leading zeros (the zero before the 1) are not significant.
None of them, you do that! You have given it to the precision of 3 decimal places or 6 significant figures however.
In mathematics, the word precision is used to describe the total number of digits (the number of significant figures) used in a number to approximate another number. For example, given a number 145.37823 the number 145 approximates the previous number with a precision of 3, and 145.3782 approximates it with a precision of 7. In other words, in maths, at least arithmetically speaking, precision is just another word for significant figures. In statistics, precision is usually a measurement of how well a measurement system gives consistent results, and is the reciprocal of variance.
Science requires physical observation through measurement, which is always limited in precision hence significant figures. Mathematics, in contrast, deals with exact quantities represented by specific points on a number line, which implies infinite precision with infinite significant figures.
4, assuming the 0 at the end is to indicate the degree of precision.
If the measurement was of such precision that the zero to the right of the 3 could be measured with accuracy, then it has two significant digits {30}.
No. 3. The trailing 0 (the one at the end) is significant because it is an indication of the precision of the number.