Math Calculators ▶ Standard Form Calculator
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The standard form calculator instantly converts a number into its standard form. Enter a number and the calculator will help you write it as a multiple of decimal and a power of 10.
Our calculator provides you with super fast conversion of an integer to standard notations. Let’s find out how it works!
Input:
Output:
The standard notation calculator will show you the following results:
Any number that you can write as a decimal number, between 1.0 and 10.0, and multiplied by a power of 10 is known as the standard form.
In other words, it is a way of writing down very large/very small numbers so that they become easily readable.
\(a = b * 10^{n}\)
Where:
Whether you have a very large or tiny number, our calculator uses the same mathematical expression to convert to standard form that is quickly understandable by anyone.
Let’s go through the following most commonly used standard form of different numbers in maths:
Number | Standard Form |
---|---|
12345 | 1.2345 x 10^4 |
450 | 4.50 x 10^2 |
5004300 | 5.0043 x 10^6 |
45 | 4.5 x 10^1 |
0.00001 | 0.1 x 10^-4 |
0.0003012 | 0.3012 x 10^-3 |
0.00049 | 0.49 x 10^-3 |
3200000 | 3.2 x 10^6 |
0.00147 | 0.147 x 10^-2 |
23500 | 2.35 x 10^4 |
80000 | 8 x 10^4 |
0.4184 | 0.4184 x 10^0 |
149600000 | 1.496 x 10^8 |
227940000 | 2.2794 x 10^8 |
141600000 | 1.416 x 10^8 |
92900000 | 9.29 x 10^7 |
86030000 | 8.603 x 10^7 |
You may enter any of the above-mentioned values in the calculator to re-confirm its exact standard form along with other important notations.
Here our standard form calculator automatically converts your number into an equivalent standard form that saves you a lot of time. But if your goal comes up with the manual calculations, follow the steps as under:
Suppose we have a number as 6023140100124566! What is standard notation for this number?
Step 1: Write The number
\(6023140100124566\)
Step 2: As we see there is not any decimal point in the number, so we will put it ourselves on the right-most side of the number:
\(6023140100124566.0\)
Step 3: Shift the position of the decimal point after the first digit as follows:
\(6.023140100124566\)
Step 4: Now you have to count the number between the decimal point and the last digit (including the last decimal place).
\(6.023140100124566 = \text{15 decimal places}\)
Step 5: write the decimal places count as the power of ten (10):
\(10^{15}\)
Step 6: The last step is to write the number in proper standard notation:
\(6.02 * 10^{15}\)
This is the required notation of the number that can also be verified by the standard notation calculator. This is the standard form equation that helps you in writing a number in a standard form, even our standard form calculator also uses the same equation.
Recently updated from the source of wikihow – How to Do Standard Form and all you need to know about calculations
Last Updated: September 08, 2023