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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:

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