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Math Calculators ▶ Sig Fig Calculator

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**Table of Content**

An online sig fig calculator allows you to turns any number or expression into a new number with the desired amount of significant figures. Also, this calculator works as sig fig counter that will count how many significant figures are in a number, and even find which numbers are significant. Simply, account this smart calculator for significant figures practice and get precise results corresponding to significant numbers.

In this post, the contributor from calculator-online going to share significant figures examples, sig fig rules, much more about the significant calculator, and everything you need to know about significant numbers. Also, you can try this simple rounding numbers calculator to figure out the rounded number as well as deal with rounding decimals.

So, let’s begin with the evidence-based study related to sig figs and right after explore the basic definition of significant figures.

If we take a look at Mathematical terms and even its progression over the last 300 years, from Sir Isaac Newton to Robert Andrews Millikan, they all throw light on the importance of significant figures.

Only few individuals believe that significant figures story is related to the discovery of sig figs calculator’s. However, the story of significant figure started much earlier that this in the 1700s. Before this time, any digit that was lie between 1 and 9 was considered to be significant. At that time, trailing and leading zeros were not a part of sig figs. Individuals used them only as place holders as that they could spot the decimal. Sir Isaac Newton, a famous mathematician, physicist, astronomer, theologian, and author used the concept of sig figs for very first time to depict some impressive features of multiplication.

Later in the 1800s, mathematics study received a new explanation corresponding to significant figures. Silas Whitcomb Holman (physicists) demonstrated a more precise definition of significant figures in his 1882 essay. Also, Holman mentioned referred to sig figs later in his well-know text book known as the “Discussion of the Precision of Measurements.”

The focus on significant figures (sig figs) continued and several scientists, physicists, authors, and mathematicians have contributed towards the concept of significant figures beyond these two prior key moments in the history of sig figs.

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. After understanding and learning sig fig, you ought to know where to use sig figs properly. Additionally, account simple significant figures calculator to calculate sig figs number.

You can use our simple significant figures counter to know about the sig figs numbers in a mathematical term. Also, read on to know about the simple and best significant figures rules.

The online significant figures calculator helps you to converts any number or expression into a new number with desired amount of significant figures (sig figs). You can use this sig fig counter to know how many significant figures are in a given number, and also calculate which digits are significant in a given number. This significant digits calculator also allows you to use these operations such as plus, minus, division, multiplication, scientific notation, log, and natural log to do significant figures practice.

Calculating significant figures becomes easy with this significant figures calculator as it is loaded with user-friendly interface and 100% free. 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:**

- First of all, you all you need to enter a number or expression into the given field of this sig fig calculator
- Very next, just select the operation if your expression has any one
- Then, simply enter round figure that you want to round off, but this field is (optional), hit the calculate button

**Output:**

The significant figure calculator will show:

- Rounding Significant Figures
- Significant Figures that the given number or expression contains
- Number of Decimals
- Turn significant figures in E-Notation
- This calculator with sig figs Turns significant figures in scientific notation

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 sig fig 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

4. Trailing zeros – means the zeros which right after the final non-zero digit are said to be significant if the number consists of a decimal point

**For Example:**

• 7.000 includes four sig figs

• 900. includes three sig figs

• 0.070 includes two sig figs

5. If the number does not have a decimal point, then trail zeros are not said to be as significant

**For Example:**

• 700 or 7 × 10^2 only includes one significant figure

• 71000 includes two sig figs

6. Remember that the number of sig digits in exact numbers is infinite – this is also true for the numbers that are defined

**For Example:**

• 1 meter = 1.0 meters = 1.000 meters = 1.00000000 meters

Thankfully, you come to know the simple sig figs rules, utilize the above significant figures calculator to know how many sig figs are in the numbers that you mentioned!

The outcome of either addition/subtraction must have the same number of decimal places similar to the least number of decimal places in any number involved.

**For Example:**

100 (includes 2 sig figs) + 32.643 (includes 5 sig figs) = 132.643, which should be rounded to 133 (includes 3 sig figs)

Also, you can try significant figures calculator to get precise measurements as this tool also uses the same rules of addition and subtraction.

It doesn’t matter whether you want to perform a calculation for dividing or multiplying significant figures, the outcome of either multiplication or division should have as many sig figs as the number involved that contains the least number of sig figs.

**For Example:**

3.0 (includes 2 sig figs) 14.60 (includes 4 sig figs) = 43.8000 which should be rounded off to 44 (includes 2 sig figs)

• If the digit to be dropped is > (greater than) 5, then the last retained digit in increase by one.

**For Example:**

13.6 is rounded to 14

• If the digit to be dropped is < (less than) 5, then the last remaining digit is left as it is.

**For Example:**

14.4 is round to 14

• If the digit to be dropped is = (equal to) 5, and if any digit that following it is not 0, then the last remaining digit is increased by one.

**For Example:**

13.51 is rounded to 14

• If the digit to be dropped is = (equal to) 5, and followed only by zeros, then the last remaining digit is increased by one if the digit is odd, but left as it is if the digit is even.

**For Example:**

11.5 is rounded to 12, and if there is 12.5, then it is rounded to 12

Furthermore, sig figs calculations become simpler with simple significant figures calculator online.

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

Just plug in the values into the significant figure calculator and know what is a significant figure of a number of your choice.

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 | 1.0×10^{3} |
1 |

10000 | 1.0×10^{4} |
1 |

0.0010 | 1.0×10^{-3} |
3 |

15.0 | 1.5×10^{1} |
3 |

15.0 | 1.5×10^{1} |
3 |

576000 | 5.760×10^{5} |
3 |

1.050 | 1.050×10^{0} |
4 |

10.0 | 1.0×10^{1} |
3 |

100.000 | 1.0×10^{2} |
6 |

100.00 | 1.0×10^{2} |
5 |

10 | 1.0×10^{1} |
1 |

1261.63 | 1.26163×10^{3} |
6 |

1.12500 x 10^4 | 1.12500×10^{4} |
4 |

100.3 | 1.003×10^{2} |
4 |

1.0200 x 10^5 | 1.0200×10^{5} |
3 |

2000 | 2.0×10^{3} |
1 |

250 | 2.5×10^{2} |
2 |

2.0 | 2.0×10^{0} |
2 |

246.32 | 2.463×10^{2} |
5 |

2090 | 2.090×10^{3} |
3 |

214 | 2.14×10^{2} |
3 |

200 | 2.0×10^{2} |
1 |

22/7 | 3.143×10^{0} |
14 |

210 | 2.1×10^{2} |
2 |

20.60 | 2.060^{1} |
4 |

3000 | 3.000×10^{3} |
1 |

30 | 3.0×10^{1} |
1 |

3.00 | 3.0×10^{0} |
3 |

3.4 x 10^4 | 3.400×10^{4} |
2 |

34.6209 | 3.46209×10^{1} |
6 |

3500 | 3.5×10^{3} |
2 |

300.00 | 3.000^{2} |
5 |

3.400 | 3.4×10^{0} |
4 |

310 | 3.1×10^{2} |
2 |

4.20 | 4.2×10^{0} |
3 |

400 | 4.0×10^{2} |
1 |

4.40 | 4.4×10^{0} |
3 |

463.090 | 4.641×10^{2} |
6 |

46.20 | 4.62×10^{1} |
4 |

5.00 | 5.0×10^{0} |
3 |

5000 | 5.0×10^{3} |
1 |

50 | 5.0×10^{1} |
1 |

5.40 | 5.4×10^{0} |
3 |

5400 | 5.4×10^{3} |
2 |

500.00 | 5.0×10^{3} |
5 |

0.005 | 5.0×10^{-3} |
1 |

5.40 | 5.4×10^{0} |
3 |

50.0 | 5.0×10^{1} |
3 |

501.0 | 5.01^{2} |
4 |

5300 | 5.3×10^{3} |
2 |

60 | 6.0×10^{1} |
1 |

6000 | 6.0×10^{3} |
1 |

600 | 6.0×10^{2} |
1 |

64.00 | 6.4×10^{1} |
4 |

650 | 6.5×10^{2} |
2 |

6.07×10^-15 | 6.07×10^{-15} |
3 |

6.0 | 6.0×10^{0} |
2 |

6.2 | 6.2×10^{0} |
2 |

6.002 | 6.002×10^{0} |
4 |

6.02×10^23 | 6.02×10^{23} |
3 |

750 | 7.5×10^{2} |
2 |

70 | 7.0×10^{1} |
1 |

780 | 7.8×10^{2} |
2 |

760 | 7.6×10^{2} |
2 |

78.9+-.02 | 7.888×10^{1} |
4 |

75.00 | 7.5×10^{1} |
4 |

765.000 | 7.65×10^{2} |
6 |

73.0000 | 7.3×10^{1} |
6 |

70000 | 7.0×10^{4} |
1 |

800 | 8.0×10^{2} |
1 |

80 | 8.0×10^{1} |
1 |

81.60 | 8.15×10^{1} |
4 |

8000 | 8.0×10^{4} |
1 |

811.40 | 8.114×10^{2} |
5 |

8700 | 8.7×10^{3} |
2 |

83.400 | 8.34×10^{1} |
5 |

801.5 | 8.014×10^{2} |
4 |

90 | 9.0×10^{1} |
1 |

900 | 9.0×10^{3} |
1 |

9000 | 9.0×10^{3} |
1 |

91010 | 9.101×10^{4} |
4 |

956 | 9.56×10^{2} |
3 |

9010.0 | 9.01×10^{3} |
5 |

918.010 | 9.1801×10^{2} |
6 |

9.03 | 9.03×10^{0} |
3 |

967 | 9.67×10^{2} |
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 |

Remember that digits of a number are not said to be as significant if they do not add information regarding the precision of that number. They include:

• Leading zeros as in 0.007 or 0065

• Trailing zeros as in 65000 when no decimal point is present. If an over-line is present as in 65000, the over-lined zero is said to be as significant, but the trailing zeros are not as significant

Well, here are some significant figures rules that you must know before you go!

Well, it is immensely important to understand the concept of rounding significant figures, before rounding any number. When it comes rounding any number, typically just you have to drop a specific number of digits from the end of the actual number.

For instance: If there is a need to round a 5 digit number to 3 significant figures (sig figs), then all you need to drop the last 2 digits and simply round off the last digit of the remaining number.

To get a proper idea, let’s look at the given example of how you can round off a 4 digit number to 3 significant figures (sig figs).

Example:

Round off 745.8 to 3 significant figures?

- So, in this problem, you need to round the number up to 3 sig figs, so, simply drop the remaining digits. In this example problem, we just have one digit left after the first three digits, which is 8
- Now, according to the sig fig rules, if the digit to be dropped is greater than 5, then simply increase the last remaining digit 1. As 8 is greater than 5, simply drop it and increase the last remaining digit that is 5 (in 745.8) by 1
- Thankfully, the number is rounded off to 3 significant figures (sig figs), and the result obtained is 746

Also, you can try rounding significant numbers calculator to round off any number or expression.

Simply use the sig fig rounder to round the number up to 2 significant figures. For better understanding, look at the example of how to round off a 2 digit number to 2 significant figures (sig figs).

Example:

Round off 24.6 to 2 significant figures?

- First of all, drop the remaining digits, in this problem, we have only one digit left after the first two digits, which is 6
- As 6 is greater than 5, you just have to drop it and increase the last remaining figure that is 4 (in 24.6) by 1
- So, the number is rounded off to 2 significant figures, you got the 25

Experts depicted that numbers that have “complete certainty” are indicated as “exact numbers.” Remember that there’s no possibility of uncertainty in exact numbers.

**For example:**

The number of employees in an office will always be 15, or 56, or 70. But, the number of employees cannot be said to be as 14.78 or 70.76 as you simply cannot have parts of this unit, it’s always 1. However, this example can be considered for a different number of situations, there will always be 12 inches in 1 foot, there always 12 eggs in one dozen and so on; these types of numbers that are absolute are referred to as “exact numbers.”

**Important:**

When it comes to how many significant figures are there in an exact number, simply the answer will always be “infinites.” Yes, remember that an exact number has infinite significant figures. You can write 7 as 7.0 or 7.00 or even 7.0000. Remember that whenever you add a zero after the decimal, the number of sig figs in 7 increases. From this, it’s clear that 7 (seven), being an exact number, but has infinite significant figures.

In the mathematical terms, these rounded number and square-shaped are the whole numbers that are also said to be as the perfect square as well. There is a no need to learn the basic command of sig figs, and even no need to remember the formula’s to get the solutions. We are providing an advanced sig fig calculator to get the sig figs solution either for studies or for businesses needs. Yes, our significant figures calculator is certainly one of the best out there.

Rules for Numbers WITHOUT a Decimal Point:

- You have to start counting for sig-figs ‘On the First non-zero digit.’
- Then, start counting for sig-figs ‘On the Last non-zero digit.’
- Remember that the non-zero digits are always said to be as significant
- And, zeroes in between two non-zero digits are said to be as a significant and all other zeroes are in-significant

Rules for Numbers WITH a Decimal Point:

- There is a need to start counting for the sig. figs ‘On the First non-zero digit.’
- Then, Stop Counting for the sig. figs ‘On the very Last digit, regardless it doesn’t matter whether the last digit is a zero or non-zero number.’
- The non-zero digits always indicate significant
- And, any zero after the first non-zero digit is still said to be as significant. Any zero before the first non-zero digit are said to be as in-significant

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.

Keep in mind, all non-zeroes digit is said to be as significant. (2.3, 22, and even 120 all have 2 significant figs) and any zero between non-zero digits are significant (203 and 1.02 have 3 sig-figures).

60 have an unlimited number of sig figs as rule depicted that all exact numbers have an unlimited number of significant figures.

If you counted the number of individuals in the office to be exactly 35, then it’s clear that 35 would have an unlimited number of significant figures.

Trailing zeros in a number containing a decimal point are said to be as significant. Remember that the number 0 has one significant figure. Thus, any zeros after the decimal point are also said to be as significant. Also, any numbers in a scientific notation are considered as significant.

0.50 have two significant figures.

According to mathematical terms, 110 have 2 significant figures, and “0” in 110 is required to correctly specify the order of the number, but it is assumed that not to have any significance.

0.1 have “1” significant figures.

Remember that your answer cannot be MORE precise than the least precise measurement.

If a number resulting from a measurement that involves multiplication or division in a calculation, then all sig figs should be carried through the calculation and the result should be rounded at the end of the calculation to indicate the term that used in the calculation with the fewest sig figs.

The sig figs rules depicted that zeros appearing between two non-zero digits (trapped zeros) are said to be as significant.

1000.0 have 5 significant figures.

Mathematically terms depicted that technically the correct number of sig figs is not dependent upon downstream use or the even the differences between percentage values. When doing division in calculation, your result should have as many sig figs and the fewest number of significant figures in your starting numbers.

Remember that the number of significant figures in expression refers to the precision with the assistance of which a scientist computes a quantity. Sig figs are measurements that determined by rounding off a digit or an expression when a calculation is finalized. Feel free to utilize our simple significant figure calculator as it contains some significant impact upon calculation in math’s language. Try this handy tool to figure out the value of sig figs!

- From Wikipedia, the free encyclopedia – significant figures or significant digits – Identifying significant figures – Concise rules – Significant figures rules explained – Scientific notation – Rounding and decimal places
- Kids Math – Get Significant Digits or Figures
- Purplemath By Elizabeth Stapel – Rounding and Significant Digits
- Annotation category: Chapter 5 – RULES FOR SIGNIFICANT FIGURES