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b) 0.055 has 2 sig figs. 5. Numbers that aren’t measurements, such as constant values, have an infinite number of sig figs. We ignore the sig figs in a constant number.Explanation: 0.020 has two significant figures. The 2 is significant because all non-zero numbers are signficant. The second 0 is significant because all zeros at the end of a decimal are significant.For example 0.025 has two significant figures. Rule 3: Trailing zeros are significant if a decimal point is shown in the number, but may or may not be significant if no decimal point is shown. By convention, it is assumed that trailing zeros without a decimal point are not significant.
| Number | Scientific Notation | Significant Figures |
|---|---|---|
| 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 |
…
Significant Figures Examples.
| Number | Number of Significant digits/figures |
|---|---|
| 5002 | Four |
| 3800 | Two |
Contents
How many significant figures does 0.003 have?
| Number | Scientific Notation | Significant Figures |
|---|---|---|
| 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 |
How many significant figures does 0.020 have?
Explanation: 0.020 has two significant figures. The 2 is significant because all non-zero numbers are signficant. The second 0 is significant because all zeros at the end of a decimal are significant.
How many significant figures are in this number?
…
Significant Figures Examples.
| Number | Number of Significant digits/figures |
|---|---|
| 5002 | Four |
| 3800 | Two |
How many significant figures does .025 have?
For example 0.025 has two significant figures. Rule 3: Trailing zeros are significant if a decimal point is shown in the number, but may or may not be significant if no decimal point is shown. By convention, it is assumed that trailing zeros without a decimal point are not significant.
How many significant figures does 0.009 have?
Zeros appearing before a non-zero digit are not significant. Example: 0.009 only has 1 significant figure.
How many significant figures does 1.0000 have?
If a decimal point is present, all zeros to the right of the decimal point are significant (1.000 and 23.20 have four significant figures).
How many significant figures does 0.0006 have?
Zeros in front of all other digits (leading zeros) are never significant. Example: 0.0006 has one sig fig.
How many significant figures does 250.0 have?
250.0 has 4 significant figures. 4. If there is not a decimal point zeroes following the last non-zero number are not significant. 2500 has 2 significant figures.
How many significant figures does 0.200 have?
(4) Zeroes to the right of a decimal point in a number are significant: 0.023 mL has 2 significant figures, 0.200 g has 3 significant figures.
How many significant figures does 0.0005 have?
There is 1 significant figure.
How many significant figures does 65.0 have?
Using these rules 65.00 has four significant figures but each of the numbers 65, 6500, and 0.0065 has only two significant figures.
How many significant figures does 50.0 have?
For 50: trailing zeros without implied accuracy cannot be used, so there is 1 significant figure. For 50.0: trailing zeros with implied accuracy are significant, so this value possesses 3 significant figures.
How many significant figures are there in 0.0025 and 2500?
There are 4 significant figures.
How many significant figures does 0.02 have?
Now, based on all these rules the number which is given that is 0.02 has only one significant figure because the preceding zeros are not considered. Thus, the correct answer is that there is one significant figure in 0.02.
How many significant figures does 0.05 have?
Examples: 0.05 – one significant figure (5); the leading zeroes are ignored.
How many significant figures does 0.6 have?
0.6 has 1 significant figures. Ignore leading zeros in 0.6 to get 6. 0.6 has no insignificant trailing zeroes.
How many significant figures does 1500.00 have?
Thus, in 1,500, the two trailing zeros are not significant because the number is written without a decimal point; the number has two significant figures. However, in 1,500.00, all six digits are significant because the number has a decimal point.
Significant Figures and Uncertainty – The Science Corner
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Significant figures
Uncertainty
Significant Figures and Uncertainty – The Science Corner
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- Summary of article content: Articles about Significant Figures and Uncertainty – The Science Corner 0.055 contains 2 sigificant figures and 3 decimals. 0.055 rounded and to 1 sig figs is 0.1. To count the number of sig figs in 0.055, strip the leading … …
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Significant figures
Uncertainty
Significant Figures Counter
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Calculator Use
Find How Many Significant Figures
How to Identify Non-Significant Figures
Related Calculators
Sig Fig Calculator & Counter – Calculate Significant Figures
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- Most searched keywords: Whether you are looking for Sig Fig Calculator & Counter – Calculate Significant Figures Updating Simple & Easy Sig fig calculator allows you to perform operations on significant figures. Enter any number or expression and round it to sig fig.
- Table of Contents:
The Evolution of Significant Figures
What Are Significant Figures
About Sig Fig Calculator
What Are The Significant Figures Rules
How to do Significant Figures In Mathematical Operations
How Many Significant Figures
How to Identify Non-Sig Figs
How do you round to 3 significant figures
How do you round to two significant figures
So what is an ‘exact number’ and how many sig figs does this number have
The Importance of Significant Figures Calculator
FAQ’s
Wrapping it up
References
How many significant figures are in the measurement 0.020 km? | Socratic
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Significant Figures – Definition, Rules and Examples
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Definition
Rules for Significant Figures
Chempendix – Significant Figures
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Counting Significant Figures
Rounding
Multiplication and Division of Measurements
Addition and Subtraction of Measurements
Logarithms and Antilogs
Multi-step Calculations
How many significant figures are in 0.055?
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Significant Figures or Digits Calculator
Significant figures definitions
Significant figures rules
Significant figures or digits counting examples
Significant Figures Calculator – Sig Fig
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- Table of Contents:
What are significant figures
What are the significant figures rules
How to use the sig fig calculator
Significant figures in operations
FAQ
Error 403 (Forbidden)
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Significant Figures Calculator and Counter
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What are significant figures
Sig figs calculator operators
How many significant figures are there in
How to count significant figures
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how many sig figs in 0.055
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how many sig figs in 0.055
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Significant Figures Counter
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Number of Significant Figures: 5 The Significant Figures are 3 6 5 7 0
Count how many sig figs in:
Calculator Use
Count how many significant figures are in a number, and find which digits are significant. You can use this calculator for significant figures practice: Test your ability to find how many significant figures are in a number.
Enter whole numbers, real numbers, scientific notation or e notation. Example inputs are, 3500, 35.0056, 3.5 x 10^3 and 3.5e3.
Find How Many Significant Figures
Significant figures are the digits of a number that are meaningful in terms of accuracy or precision. They include:
Any non-zero digit
Zeros between non-zero digits as in 3003 or 45.60009
Trailing zeros only when there is a decimal point as in 6750. or 274.3300
How to Identify Non-Significant Figures
Digits of a number are not significant when they do not add information regarding the precision of that number. They include:
Leading zeros as in 0.009 or 0056
Trailing zeros as in 45000 when no decimal point is present. If an overline is present as in 45 0 00 the overlined zero is significant but the trailing zeros are not significant.
How Many
Sig Figs? Which Figures
are Significant? 81 2 8, 1 26.2 3 2, 6, 2 0.007 1 7 5200.38 6 5, 2, 0, 0, 3, 8 380.0 4 3, 8, 0, 0 78800 3 7, 8, 8 788 0 0 4 7, 8, 8, 0 78800. 5 7, 8, 8, 0, 0
Significant Figures Rules
Non-zero digits are always significant Zeros between non-zero digits are always significant Leading zeros are never significant Trailing zeros are only significant if the number contains a decimal point
Related Calculators
For math with significant figures see our Significant Figures Calculator.
For rounding significant figures see our Rounding Significant Figures Calculator.
References
Sig Fig Calculator
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.
The Evolution 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.
What Are Significant Figures?
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.
About Sig Fig Calculator:
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.
How to Find Significant Figures with the Sig Fig Calculator:
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
What Are The Significant Figures Rules:
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!
How to do Significant Figures In Mathematical Operations:
Rules For Addition And Subtraction:
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.
Rules for Multiplication And Division:
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)
Rules for Rounding Off Number:
• 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. How Many Significant Figures? 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 1.0×103 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 How to Identify Non-Sig Figs? 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! How do you round to 3 significant figures? 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. How do you round to two significant figures? 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 So, what is an ‘exact number’ and how many sig figs does this number have? 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. The Importance of Significant Figures Calculator: 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. FAQ’s: How Do You Calculate Sig Figs? 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 How Many Significant Figures Does 3.00 Have? 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. How many sig figs in 100? 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.’ How Many Significant Figures Does 0.001 Have? 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. How Many Significant Figures Does 120 Have? 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). How many sig figs is 60? 60 have an unlimited number of sig figs as rule depicted that all exact numbers have an unlimited number of significant figures. How many sig figs is 35? 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. Are sig figs after decimal? 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. How many significant figures does 0.50 have? 0.50 have two significant figures. How many sig figs is 110? 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. How many significant figures does 0.1 have? 0.1 have “1” significant figures. How many sig figs should I use? Remember that your answer cannot be MORE precise than the least precise measurement. Do you round sig figs at the end? 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. Do leading zeros count? The sig figs rules depicted that zeros appearing between two non-zero digits (trapped zeros) are said to be as significant. How many significant figures does 1000.0 have? 1000.0 have 5 significant figures. Do sig figs apply to percentages? 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. Wrapping it up: 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! References:
Definition, Rules and Examples
Significant Figures
Significant figures are used to establish the number which is presented in the form of digits. These digits carry a meaningful representation of numbers. The term significant digits are also used often instead of figures. We can identify the number of significant digits by counting all the values starting from the 1st non-zero digit located on the left. For example, 12.45 has four significant digits.
Definition
The significant figures of a given number are those significant or important digits, which convey the meaning according to its accuracy. For example, 6.658 has four significant digits. These substantial figures provide precision to the numbers. They are also termed as significant digits.
Rules for Significant Figures
All non-zero digits are significant. 198745 contains six significant digits.
All zeros that occur between any two non zero digits are significant. For example, 108.0097 contains seven significant digits.
All zeros that are on the right of a decimal point and also to the left of a non-zero digit is never significant. For example, 0.00798 contained three significant digits.
All zeros that are on the right of a decimal point are significant, only if, a non-zero digit does not follow them. For example, 20.00 contains four significant digits.
All the zeros that are on the right of the last non-zero digit, after the decimal point, are significant. For example, 0.0079800 contains five significant digits.
All the zeros that are on the right of the last non-zero digit are significant if they come from a measurement. For example, 1090 m contains four significant digits.
Rounding Significant Figures
A number is rounded off to the required number of significant digits by leaving one or more digits from the right. When the first digit in left is less than 5, the last digit held should remain constant. When the first digit is greater than 5, the last digit is rounded up. When the digit left is exactly 5, the number held is rounded up or down to receive an even number. When more than one digit is left, rounding off should be done as a whole instead of one digit at a time.
There are two rules to round off the significant numbers:
First, we have to check, up to which digit the rounding off should be performed. If the number after the rounding off digit is less than 5, then we have to exclude all the numbers present on the right side. But if the digit next to the rounding off digit is greater than 5, then we have to add 1 to the rounding off digit and exclude the other numbers on the right side.
Significant Figures Examples
Q.1: Identify the number of significant digits/figures in the following given numbers.
45, 0.046, 7.4220, 5002, 3800
Solution:
Number Number of Significant digits/figures 45 Two 0.046 Two 7.4220 Five 5002 Four 3800 Two
Q.2: Write 12.378162 correct to 4 significant digits.
Solution:
The number 12.378162, rounded to 4 significant digits is 12.38
Hence, 12.38 is the answer.
Practice Questions
Determine the number of significant digits from the following given numbers.
84, 0.084, 5.8480, 2005, 8400
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