The significant figures calculator converts any number into a new number with the desired amount of sig figs AND solves expressions with sig figs (try doing
3.14/7.58-3.15). What are significant figures rules? Those concepts will be explained throughout this page as well as how to use a sig fig calculator.
Significant figures are all numbers that add to the meaning of the overall value of the number. To prevent repeating figures that aren't significant, numbers are often rounded. One must be careful not to lose precision when rounding. Many times rounding numbers are for the purpose of simplicity only. Use the rounding calculator to assist in such problems.
To determine what numbers are significant and which aren't, use the following rules:
1is not significant.
433,000unless changing the number into scientific notation.
Our significant figures calculator works in two modes - it performs arithmetic operations on multiple numbers (for example
4.18 / 2.33) or simply rounds a number to a desired number or sig figs.
Following the rules noted above, we can calculate sig figs by hand or by using the significant figures counter. Suppose we have the number
0.004562 and want
2 significant figures. The trailing zeros are placeholders, so we do not count them. Next we round
2 digits, leaving us with
Now we'll consider an example that is not a decimal. Suppose we want
4 significant figures. We simply round the entire number to the nearest thousand, giving us
What if a number is in scientific notation? In such cases the same rules apply. Note that the significant figures calculator does not convert numbers into scientific notation. The scientific notation calculator is an excellent tool to accomplish this.
When dealing with estimation, the number of significant digits should not be more taking the log base
10 of the sample size and rounding to the nearest integer. For example, if the sample size is
150, log of
150 is approximately
2.18, so we use
2 significant figures.
There are additional rules regarding the operations - addition, subtraction, multiplication and division.
12.13 + 1.72 + 0.45, the value with the least number of sig figs (2) is 0.45. Hence, the result must have two significant figures as well:
12.13 + 1.72 + 0.45 = 14.30 = 14.
12.13 + 1.72 * 3.4, after first step you will obtain the following result:
12.13 + 5.848. Then, you have to round the result of multiplication to 2 significant figures, obtaining
12.13 + 5.8. Now, simply add the numbers and leave two significant figures, obtaining the result of
12.13 + 5.8 = 17.93 = 18.
15.23 * 3.6 = 54.83.