# Expressing Ordinary Numbers In Standard Form Calculator

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The Expressing Ordinary Numbers In Standard Form Calculator will calculate:

1. How to convert an ordinary number into standard form.

Expressing Ordinary Numbers In Standard Form Calculator Parameters: You may enter whole or decimal numbers and the calculator will automatically convert the number to standard form using the number of decimal places selected.

 🖹 Normal View🗖 Full Page View Calculator Precision (Decimal Places)0123456789101112131415 Number (Y)
Ordinary Number to Standard Form Formula and Calculations The Standard Form of is Y = A × 10n = Number (Y)

Please note that the formula for each calculation along with detailed calculations is shown further below this page. As you enter the specific factors of each expressing ordinary numbers in standard form calculation, the Expressing Ordinary Numbers In Standard Form Calculator will automatically calculate the results and update the formula elements with each element of the expressing ordinary numbers in standard form calculation. You can then email or print this expressing ordinary numbers in standard form calculation as required for later use.

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Please provide a rating, it takes seconds and helps us to keep this resource free for all to use ## Theoretical description

A number is expressed in the standard form if it is written as a power of ten. When a number is expressed in the standard form, it usually contains two parts: a decimal part that is a number between 1 and 10 and a part that expresses only powers of ten, as shown in the scheme below.

Y = A × 10n

where 1 ≤ A < 10 and n = integer.

The decimal part must include all non-zero digits of the original ordinary number. For example, we can write

24,307 = 2.4307 × 104

The value of the index n is determined by the number of positions the decimal point has shifted during the conversion from ordinary to standard form. In integers, we take the position of the decimal point at the end of the number. Thus, in our example, the decimal point has been after the 5th digit and after the conversion to standard form, it went after the 1st digit. Hence, the decimal point has moved 4 units due left. That's why the index n is 4.

Indeed,

2.4307 × 104 = 2.4307 × 10,000
= 24,307

On the other hand, when dealing with very small numbers, we express the index n as negative. For example, we write

0.0000376 = 3.76 × 10-5

Again, we count the shift of decimal point from the old position (in the ordinary form) to the new position (in the standard form). This time, the shift is 5 units due right. This is because

3.76 × 10-5 = 3.76 × 1/105
= 3.76/100,000
= 376/10,000,000
= 0.0000376

Even if the original ordinary number is decimal, we still use the same procedure, i.e. we write all digits up to the last non-zero digit in the first part of the standard form. For example,

450.17 = 4.5017 × 102

## Powers and Roots Math Tutorials associated with the Expressing Ordinary Numbers In Standard Form Calculator

The following Math tutorials are provided within the Powers and Roots section of our Free Math Tutorials. Each Powers and Roots tutorial includes detailed Powers and Roots formula and example of how to calculate and resolve specific Powers and Roots questions and problems. At the end of each Powers and Roots tutorial you will find Powers and Roots revision questions with a hidden answer that reveal when clicked. This allows you to learn about Powers and Roots and test your knowledge of Math by answering the revision questions on Powers and Roots.

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