Math Calculators ▶ Sig Fig Calculator
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Table of Content
This sig fig calculator allows you to turns any number or expression into a new number with the desired amount of significant figures.
Also works as sig fig counter that will count how many significant figures are in a number, and even find which numbers are significant.
Significant figs are the number of digits that are used to express a measured or calculated quantity. In simple words, with the ease of sig figs, you can show how precise a number is. According to experts, the significant figures of a number is the digits that are express with some degree of confidence.
You have to stick to the following rules, if you want to find what a significant figure of a number is and which aren’t, our significant figures calculator also uses the same rule to provides you the precise measurements for significant figures.
1. Remember that every digit that is not zero is significant
For Example:
• 2.547 includes four sig figs
• 427 includes three sig figs
2. When zeros are between digits that are not zeros are said to be significant
For Example:
• 800091 includes six sig figs
• 2091 includes four sig figs
3. If a zero is to the left of the first digit that is not zero, then it is not said to be as significant
For Example:
• 0.005555 includes four sig figs
• 0.00076 includes two sig figs
Optimistic studies reveal that sig figs are the digits of a number which are meaningful in terms of accuracy or precision. They include:
• Any non-zero digit
• Zeros between non-zero digits as in 4004 or 54.70008
• Trailing zeros only when there is a decimal point as in 7650. or 742.4400
Let’s take a look at the given chart to know about the significant figures and scientific notation for most common numbers:
Number | Scientific Notation | Significant Figures |
1000 | 1.0×103 | 1 |
10000 | 1.0×104 | 1 |
0.0010 | 1.0×10-3 | 3 |
15.0 | 1.5×101 | 3 |
15.0 | 1.5×101 | 3 |
576000 | 5.760×105 | 3 |
1.050 | 1.050×100 | 4 |
10.0 | 1.0×101 | 3 |
100.000 | 1.0×102 | 6 |
100.00 | 1.0×102 | 5 |
10 | 1.0×101 | 1 |
1261.63 | 1.26163×103 | 6 |
1.12500 x 10^4 | 1.12500×104 | 4 |
100.3 | 1.003×102 | 4 |
1.0200 x 10^5 | 1.0200×105 | 3 |
2000 | 2.0×103 | 1 |
250 | 2.5×102 | 2 |
2.0 | 2.0×100 | 2 |
246.32 | 2.463×102 | 5 |
2090 | 2.090×103 | 3 |
214 | 2.14×102 | 3 |
200 | 2.0×102 | 1 |
22/7 | 3.143×100 | 14 |
210 | 2.1×102 | 2 |
20.60 | 2.0601 | 4 |
3000 | 3.000×103 | 1 |
30 | 3.0×101 | 1 |
3.00 | 3.0×100 | 3 |
3.4 x 10^4 | 3.400×104 | 2 |
34.6209 | 3.46209×101 | 6 |
3500 | 3.5×103 | 2 |
300.00 | 3.0002 | 5 |
3.400 | 3.4×100 | 4 |
310 | 3.1×102 | 2 |
4.20 | 4.2×100 | 3 |
400 | 4.0×102 | 1 |
4.40 | 4.4×100 | 3 |
463.090 | 4.641×102 | 6 |
46.20 | 4.62×101 | 4 |
5.00 | 5.0×100 | 3 |
5000 | 5.0×103 | 1 |
50 | 5.0×101 | 1 |
5.40 | 5.4×100 | 3 |
5400 | 5.4×103 | 2 |
500.00 | 5.0×103 | 5 |
0.005 | 5.0×10-3 | 1 |
5.40 | 5.4×100 | 3 |
50.0 | 5.0×101 | 3 |
501.0 | 5.012 | 4 |
5300 | 5.3×103 | 2 |
60 | 6.0×101 | 1 |
6000 | 6.0×103 | 1 |
600 | 6.0×102 | 1 |
64.00 | 6.4×101 | 4 |
650 | 6.5×102 | 2 |
6.07×10^-15 | 6.07×10-15 | 3 |
6.0 | 6.0×100 | 2 |
6.2 | 6.2×100 | 2 |
6.002 | 6.002×100 | 4 |
6.02×10^23 | 6.02×1023 | 3 |
750 | 7.5×102 | 2 |
70 | 7.0×101 | 1 |
780 | 7.8×102 | 2 |
760 | 7.6×102 | 2 |
78.9+-.02 | 7.888×101 | 4 |
75.00 | 7.5×101 | 4 |
765.000 | 7.65×102 | 6 |
73.0000 | 7.3×101 | 6 |
70000 | 7.0×104 | 1 |
800 | 8.0×102 | 1 |
80 | 8.0×101 | 1 |
81.60 | 8.15×101 | 4 |
8000 | 8.0×104 | 1 |
811.40 | 8.114×102 | 5 |
8700 | 8.7×103 | 2 |
83.400 | 8.34×101 | 5 |
801.5 | 8.014×102 | 4 |
90 | 9.0×101 | 1 |
900 | 9.0×103 | 1 |
9000 | 9.0×103 | 1 |
91010 | 9.101×104 | 4 |
956 | 9.56×102 | 3 |
9010.0 | 9.01×103 | 5 |
918.010 | 9.1801×102 | 6 |
9.03 | 9.03×100 | 3 |
967 | 9.67×102 | 3 |
0.003 | 3.0×10-3 | 1 |
0.900 | 9.0×10-1 | 3 |
0.50 | 5.0×10-1 | 2 |
0.00120 | 1.2×10-3 | 3 |
0.008 | 8.0×10-3 | 1 |
0.01 | 1.0×10-1 | 1 |
0.105 | 1.05×10-1 | 3 |
0.0025 | 2.5×10-3 | 2 |
0.0560 | 5.6×10-2 | 3 |
Our sig figs calculator works on multiple numbers (for instance, 7.76 / 7.88) as mentioned-above or just simply rounds a number to your desired number of sig figures. Just consider the following steps to get precise measurements for sig figs.
Inputs:
Output:
The significant figure calculator will show:
Mathematically, 3.0, 3.00, and 3.000 are all the same value, but 3.000 show that it has been measured with the more precise instrument. By sig-figs rules, the zeroes in all three numbers are represented ‘significant figures.’ Thus, 30.0 have three sig -figs.
100 have 1 significant figures, you can check your answer by adding 100 into the sig fig calculator. But also, according to mathematical number, 100 (or any other number) is an exact quantity on which the concept of significant figs doesn’t apply. If you want to measure 100 with 3 sig figures (implying uncertainty of), then you could write it as ‘100.’
In the expression of 0.001, 1 is said to be as significant fig, hence 0.001 has only 1 sig. fig. By sig rules, any trailing zero before the decimal point does not count. For example, 1000, 100, 10 all have only 1 sig fig. E:g – 101 have 3 and 1001 have 4 significant figs respectively.
60 have an unlimited number of sig figs as rule depicted that all exact numbers have an unlimited number of significant figures.
0.50 have two significant figures.
0.1 have “1” significant figures.