Standard Form Calculator

Enter the number and the calculator will convert it its equivalent Standard, Engineering, Scientific, and Real Notations.

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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.

Working of Our Standard Form Calculator:

The standard notation 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:

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 is the number to be converter into standard form
b is any number between 1 and 10 (but not including 10 i.e; )

n is any integer (positive or negative)

For Example:

Consider the number \(6000000000000\) (Not easily readable)

Standard Form Math = \(6 * 10^\) (Easily readable)

How To Write In Standard Form?

This standard form calculator automatically converts your number into an equivalent standard form saving you a lot of time. But if your goal comes up with the manual calculations, follow the steps below:

For Positive Numbers:

Write the number

If there is no decimal in the number, then consider it to be pasted at the top 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

Standard Form Example:

Suppose we have a number as 6023140100124566! What is a 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). \(6.023140100124566 = \text\)

Step 5:

Write the decimal places count as the power of ten (10): \(10^\)

Step 6:

The last step is to write the number in proper standard notation: \(6.02 * 10^\)

References:

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