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 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:

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

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)

For Example:

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

\(6.023140100124566 = \text{15 decimal places}\)

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:

\(6.02 * 10^{15}\)

References:

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