The Significant figures calculator
Here’s to another science tool that makes your life less
complicated with solutions, of course. Today’s new calculator (calc)
is, “The Significant figure calculator”, also known as “Sig Figs”.
This calculator is a tool that can convert any number into a brand
new one. Also, solves the illustrations with the appropriate sig
figs. Let’s explore the article for more information about this
calc.
The sig figs are those digits that are supposed to add meaning to
the entire value of the numbers. The rounding off numbers must get
done when there is a repetition of the non-significant figures. One
must be precise in doing so. Now, let us tell you more about them in
detail.
What are the sig fig calculator rules?
The sig figs calc rules below suggest that whether the digits are
considered as significant or not. They are:
- All the zeroes that are present at the decimal portion before
the significant figures are NOT significant. For example: 0.0008 or
0.00876
- All the non-zero digits are significant. For example 4.18 or
2.43
- Zeroes that are present between any two sig figs are
significant. For example 4.204 or 1.62005
- All the final zeroes and the trailing ones ONLY at the decimal
point are significant. For example, 1.500 or 2.632000
- Zeroes that occurred at the end of a digit are NOT significant.
For example: 433,000
How to use the significant digits calculator?
Keeping the above rules in mind, now we learn how to use the sig
fig calculator. The guidelines will get mentioned below:
- There are two modes in which the calculator works: a) It
executes arithmetic algebraic operations on many digits; b) It
rounds off the number to your desired results.
- We can also calculate the result by hand or by the calculators.
Remembering the above-listed points, let us take an example,
0.004562 to 2 significant digits. Now, as we know trailing zeroes
are placeholders so, we don’t consider them.
- Then, take up the sig fig, 4562 to 2 digits and the answer would
be 0.0046.
- Now, let us take another example, which doesn’t have decimal
values. Like 4, 32,567 to 4 digits and so we round the whole figure
to the nearest thousand. The answer is 4, 33,000
- Another point that comes up, if it is a scientific notation to
deal with. To use these equations in the significant digit
calculator, use E notation, this converts x10 into the lower or the
upper letter case, “e”. For example, 5.063x10^23 is similar to
5.063E23 or 5.063e23. Also, for a small number like 9.16x10^-17
then its E is equivalent to 9.16E-17 or 9.16e-17
- Also, remember when you have to deal with estimating digits, the
significant figure shouldn’t get bigger than log base 10 and then
round it off to the nearest possible integer. For example, if your
sample’s size is 150 and also, the log of 150 is equal to 2.18, so
we use 2 significant digits.
How many sig-figs calc and operations?
The operations of these arithmetic problems have considerable
processes and methods. Also, to top it, we have the primary
methodology to solve them like addition, subtraction,
multiplication, and division. The following would be some of the
major points that you must remember while operating on the problems.
They are:
1. Addition and Subtraction:
- While you perform operations with the help of addition and
subtraction, you must remember that the result you’ll obtain should
not have more decimal places than the number that has the least
precision.
- For example, 128.1+1.72+0.457 and in this problem, you have
128.1 as the number with the least accuracy. So, using the sig fig
addition calculator, the operation would result in
128.1+1.72+0.457=130.277, which rounds off to have 130.3
- Solve the problem with the essential addition and subtraction
methodology then apply the rules of sig figs on the final result.
2. Multiplication and division
Here, we would solve the arithmetic problems by dividing and
multiplying significant figures.
- While you perform multiplication and division on the arithmetic
problem, make sure that the desired result should have no more
critical data than the number that least has them.
- For example, 4.321*3.14 and in this operation, you have 3.14 as
a number who has the least amount of sig figs. So, their result is
4.321*3.14=13.56974, which rounds off to 13.6.
- Again make sure you do the basic multiplication and division at
the beginning of the operation and apply the rules of the
significant figures at the final result. You can apply a similar
method for division by using dividing significant figures calc.
3. Mixed operations:
- Now, if you would mix these operations like addition/subtraction
to multiplication/division, then make sure you count the number of
significant figures with each step and remember the central
equation.
- For example, 12.13+1.72*3.4 and now by basic methodology, we
have 12.13+5.848, which you got after applying the multiplication
first. Then, remember that the central equation’s result should get
2 significant figures with one decimal place. Now, as we know that
sig fig rules should get applied in the result. So, by using adding
significant figures calculator, the operation would result in
12.13+5.848=17.978, which rounds off to have 18.0
- Real numbers or conversion factors cannot disturb the accuracy
of the calculations. Instead, they could get considered as they
have an infinite number of sig figs. For example, let’s consider
speed conversion, where you multiply the m/s value to 3.6 to obtain
the result in km/hr. Like 15.23 m /s and so to convert it in km/hr
you must multiply it by 3.6, but with increasing sig fig
calculator, it can’t happen. The result would still appear in m/s.
To obtain value in the calc then you must enter the values like
15.23*3.600