Standard Form Calculator

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.

Working of Standard Form Calculator:

Our calculator provides you with super fast conversion of an integer to standard notations. Let’s find out how it works!
Input:

• Enter the number you want to convert into standard form
• Tap Calculate

Output:

The standard notation calculator will show you the following results:

• Converted standard form for a given number
• Scientific E-Notation
• Engineering Notation
• Real Number

What Is Standard Form In Math?

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.

Mathematically:

\(a = b * 10^{n}\)

Where:

• a is the number to be converter into standard form
• b is any number between 1 and 10 (but not including 10 i.e; <10)
• n is any integer (positive or negative)

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.

For Example:

• Consider the number \(6000000000000\) (Not easily readable)
• Standard Form Math = \(6 * 10^{12}\) (Easily readable)

Standard Form Table:

Let’s go through the following most commonly used standard form of different numbers in maths:

You may enter any of the above-mentioned values in the calculator to re-confirm its exact standard form along with other important notations.

How To Write In Standard Form?

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:

For Positive Numbers:

• Write the number
• If there is no decimal in the number, then consider it to be pasted at the most right of the number
• Now, shift the decimal point after the first digit in the number
• Leaving the first number, count all remaining ones and it will be the power of 10

For Extreme Small Numbers:

• Write the number
• Count the decimal places between the decimal at the left and the first non-zero digit at the right
• Write the digit count as a negative power of 10

Example:

Suppose we have a number as 6023140100124566! What is standard notation for this number?

Solution:

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.

References: 

Recently updated from the source of wikihow – How to Do Standard Form and all you need to know about calculations