The standard form of a number is a method of writing the various numbers into their corresponding forms that are easy to read and understand. It is based on the use of powers of ten to indicate the size of a number. In short, we can say that the standard form of any number is the most easy-to-read format used to represent any large or small number. An online standard form calculator by calculator-online.net is specially designed to determine various standard forms corresponding to a number. Is not it a good thing for you yes, it is!

Therefore, in this technical content, we will be discussing the various standard forms of numbers.

So, let’s dive into it!

Various Number Formats of The Standard Forms:

Following are the different styles that you can opt to write a large or small number in a presentable format.

Scientific Notation:

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Scientific notation is a technique of expressing very big and very small numbers in a consistent style that makes them easy to compare and use in calculations. 

General Form:

You can express a number into its corresponding scientific notation with the help of the expression given below:

$$ N * 10^{a} $$

Where:

N = any number between 1 and 10, but not 10 itself

a = any integer that can be either positive or negative

Steps to Writing Scientific Form of A Number:

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Step # 01:

Determine where the decimal point was originally placed.

Step # 02:

Find the final location of the decimal point the same way.

Also, keep in mind that the original decimal point must be direct to the right of the first non-zero value at the end.

Step # 03:

Place the decimal point in its final position. Keep in mind that:

• Here, you will notice that a number N i there that is either equal to 1 or greater than it but smaller than 10
• The count for the exponent of base 10 should be positive when the decimal is moved to the left.
• Similarly, the count for the exponent of base 10 should be negative as the decimal moves to the right.

Step # 04:

At last, write the final number in standard scientific notation as discussed above. You can also make use of the free standard form calculator for better results if it feels difficult to write a number in its scientific form.

Example:

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The scientific form of 250000 is \(2.5*10^{5}\).

Also, the standard notation of 0.002 is \(2*10^{-3}\)

The free online standard form calculator also displays the same results on your screen but immediately to save your precious time.

Engineering Notation:

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Engineering notation uses powers of ten to represent a very large or extremely small number into a value between one and 1,000.

General Form:

In practice, you can simply represent any number into its corresponding engineering notation which is as follows:

$$ a * 10^{n} $$ \hspace{0.25in} 1≤a≤10 $$

Where ‘n’ can be any integer number

Steps To Writing Numbers In Engineering Notation:

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Step # 01:

To get a number between 1 and 1000, shift the decimal point in “groups” of three places.

Step # 02:

Multiply the number of places the decimal point has shifted by a factor of 10.

Step # 03:

If the decimal point is moved to the left, then the power of ten becomes positive. As well as, if the decimal point is moved to the right, the power of ten becomes negative.

Example:

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The standard form of 1632000000 is \(1.632 * 10^{9}\)

Similarly, the standard form of 0.1 is\(100 * 10^{-3}\)

This is a little bit tricky to write numbers in engineering standard form. But do not worry at all as the free standard form calculator will be doing that for you without any hurdle. So, how does it sound?

Real Number Notation:

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In real number notation, you need to write the number in the most simple format that could be easily readable even by a layman.

Steps To Writing Numbers Into Real Number Notation:

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Step # 01:

First of all, remove the decimal point if there is in the number

Step # 02:

After doing so, check the number that is in the power of 10

Step # 03:

Then count tat number and write zeroes equal to that integer

Step # 04:

This is how the generic real number form of any number is obtained 

Example:

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The real number form of \(1.3*10{2}\) is 130

The Standard Form of A Rational Number:

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If the denominator is a positive integer and the numerator and denominator have no common factor other than 1, the rational number is said to be in standard form. The numerators of two rational integers with the same denominator can be added by keeping the denominator the same.

Example:

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The standard form of 39/-91 is 3/7

Using Standard Form Calculator:

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This free standard notation calculator is exclusively programmed so that it becomes easy to write numbers in various standard forms. Well, it seems weird enough, but believe me, it works! Want to learn its usage? Let’s go!

• What you need to do is just to write the number in the input field
• After doing so, simply tap the calculate button
• The standard form equation calculator will swiftly display the various standard forms of the number

How fast it is!

A Real-Life Example of The Standard Form:

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As we know that the distance between the Sun and Mars is approximately 141,700,000 miles.

Now if you need to write this number in standard notation, you will have to follow the format below:

$$ \text{Distance Between Sun And Mars} = 1.41 * 10^{8} $$

Wrapping It Up:

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We write very large and small numbers in standard form to make them easier to read. Standard form refers to any number that may be written as a decimal number between 1.0 and 10.0, multiplied by a power of ten. In this article, we discussed various standard forms of the numbers and emphasized using a free online standard form calculator for getting more precise outcomes.

About the Author of This Article …

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As an accomplished writer, Viktoriya Sten is extremely attentive about writing on the subject of marketing as well as business. She is always ready to include relevant information. As she sums up her publishing success, she wants to help her clients increase their brand awareness and more with stunning marketing strategies!

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