Scientific Notation Converter to Convert To or From Decimal Number

Scientific Notation Converter Sign

If you've ever been confused by a calculated result that includes an "E" in the number, this web app will eliminate that confusion once and for all.

This conversion calculator will convert a scientific notation into a decimal number, or vice versa.

Plus, the converter will accept notations in three different formats:

  • 3.5E4
  • 3.5e4
  • 3.5 x 10^4

If you would like to add, subtract, divide or multiply scientific notations, please visit the Scientific Notation Calculator located in the math section.

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Scientific Notation Converter

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Selected Data Record:

A Data Record is a set of calculator entries that are stored in your web browser's Local Storage. If a Data Record is currently selected in the "Data" tab, this line will list the name you gave to that data record. If no data record is selected, or you have no entries stored for this calculator, the line will display "None".

DataData recordData recordSelected data record: None
Decimal number or SN:Decimal number or SN:Decimal number or scientific notation:Decimal number or scientific notation:

Enter decimal or scientific notation:

Enter either a decimal number to convert to scientific notation, or a scientific notation to convert to a decimal number. Note that you can enter scientific notation in any of these formats:

  • 35e7
  • 35E7
  • 35x10^7
Converted number:Converted number:Converted number:Converted number:

Converted number:

This result is either an exponential notation or a decimal number, depending on which type of number you entered at the top of the converter.

If you would like to save the current entries to the secure online database, tap or click on the Data tab, select "New Data Record", give the data record a name, then tap or click the Save button. To save changes to previously saved entries, simply tap the Save button. Please select and "Clear" any data records you no longer need.

Help and Tools

Learn

Scientific notation and conversion methods.

What is Scientific Notation?

Scientific notation (SN), also referred to as exponential notation, is a system developed to abbreviate numbers having an extreme number of digits and or decimal places.

You can think of SN as a short-hand method for expressing numbers.

To illustrate the usefulness of abbreviating numbers, suppose you need to communicate the following number to one or more interested parties:

123000000000000

Scientific notation allows you to abbreviate the above number to the following (note that the "E" or "e" simply stands for "power-of-10 exponent"):

1.23 x 1014
Which might also be expressed as:
1.23E14
or
1.23e14

Can you see how the chances of the miscounting the number of zeros while the number is being passed around is eliminated with the use of SN?

Or, if you are communicating a very small number, like the following:

0.0000000000123

Then, scientific notation allows you to abbreviate the above decimal number to the following:

1.23 x 10-11
Which might also be expressed as:
1.23E-11
or
1.23e-11

Again, SN eliminates the chance of the exact number getting lost in translation.

How to Convert a Decimal Number to Scientific Notation

Without getting into the underlying math used to convert Decimals to SN, the conversion process is simply to move the decimal point left or right until the number becomes a number between 1 and 10.

The number of places you must move the decimal point to cause the number to fall between 1, and 10 becomes the power-of-10 exponent.

If you need to move the decimal point to the left, the power-of-10 exponent is positive. Otherwise, if you need to move the decimal point to the right, the power-of-10 exponent is negative.

So in the example above, to convert 123000000000000 to a scientific notation you simply move the decimal point to the left until the number to the left of the decimal point (coefficient) is a number from 1 to 9, which in this case is 14 places.


123000000000000
Converts to the scientific notation:
1.23 x 1014

1.23000000000000
               
 1413121110987654321

Or, to convert 0.0000000000123 to a scientific notation you simply move the decimal point to the right until the number to the left of the decimal point (coefficient) is a number from 1 to 9, which in this case is 11 places.


0.0000000000123
Converts to the scientific notation:
1.23 x 10-11

0.00000000001.23
              
 1234567891011  

How to Convert Scientific Notation to a Decimal Number

To convert SN to a decimal number, you simply start with the number left of the multiplication sign (or "E") and move the decimal point right (if positive exponent) or left (if negative exponent) the number of places indicated by the power-of-ten exponent.

As you move the decimal point simply add zeros for placeholders as needed.

So to convert the scientific notation 1.23 x 1014 to regular notation you simply move the decimal point 14 places to the right, as indicated by the exponent 14.


1.23 x 1014
Converts to the decimal number:
123000000000000

123000000000000
               
 1234567891011121314

Or, to convert the scientific notation 1.23 x 10-11 to regular notation you simply move the decimal point 11 places to the left, as indicated by the exponent -11.


1.23 x 10-11
Converts to the decimal number:
0.0000000000123

.0000000000123
              
 1110987654321  

A Related Note About the Converter

You might find it interesting to know that in building this converter I had to write the code so that the entered notations are converted to text strings because the scripting language I use to create calculators automatically returns large and small numbers in ... you guessed it ... scientific notation!

Of course, since I can't test the manipulation of text strings for all possible numbers, be sure to use the feedback form beneath the calculator to let me know the number you entered if it appears the converted result is "NaN" (Not a Number) or otherwise appears incorrect.

Adjust Calculator Width:

Move the slider to left and right to adjust the calculator width. Note that the Help and Tools panel will be hidden when the calculator is too wide to fit both on the screen. Moving the slider to the left will bring the instructions and tools panel back into view.

Also note that some calculators will reformat to accommodate the screen size as you make the calculator wider or narrower. If the calculator is narrow, columns of entry rows will be converted to a vertical entry form, whereas a wider calculator will display columns of entry rows, and the entry fields will be smaller in size ... since they will not need to be "thumb friendly".

Show/Hide Popup Keypads:

Select Show or Hide to show or hide the popup keypad icons located next to numeric entry fields. These are generally only needed for mobile devices that don't have decimal points in their numeric keypads. So if you are on a desktop, you may find the calculator to be more user-friendly and less cluttered without them.

Stick/Unstick Tools:

Select Stick or Unstick to stick or unstick the help and tools panel. Selecting "Stick" will keep the panel in view while scrolling the calculator vertically. If you find that annoying, select "Unstick" to keep the panel in a stationary position.

If the tools panel becomes "Unstuck" on its own, try clicking "Unstick" and then "Stick" to re-stick the panel.