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Math Calculators ▶ Standard Form Calculator

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**Table of Content**

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:**

- 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

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:

**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.

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

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:

- 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

- 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

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