# Scientific Notation Converter

## Calculator Use

Convert a number to and from scientific notation, e notation, engineering notation, standard form, and real numbers. Enter a number or a decimal number or scientific notation and the calculator converts to scientific notation, e notation, engineering notation, standard form and word form formats.

To enter a number in scientific notation use a carat ^ to indicate the powers of 10. You can also enter numbers in e notation. Examples: 3.45 x 10^5 or 3.45e5.

Order of magnitude will also be identified for the calculated standard form. The order of magnitude when written in standard form, is the nth power of 10. For example, 3.4 x 10^5 has an order of magnitude of 5 since 10 is raised to the 5th power.

## How to Convert a Number to Scientific Notation

The proper format for scientific notation is *a x 10^b* where
*a* is a number or decimal number such that the absolute value of
*a* is greater than or equal to one and less than ten or, 1 ≤ |*a*| < 10. b is the power of 10 required so that the scientific notation is mathematically equivalent to the original number.

- Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is
*a*. - Count how many places you moved the decimal point. This number is
*b*. - If you moved the decimal to the left
*b*is positive.

If you moved the decimal to the right*b*is negative.

If you did not need to move the decimal*b = 0*. - Write your scientific notation number as
*a x 10^b*and read it as "*a times 10 to the power of b*." - Remove trailing 0's only if they were originally to the left of the decimal point.

### Example: Convert 357,096 to Scientific Notation

- Move the decimal 5 places to the left to get 3.57096
- a = 3.57096
- We moved the decimal to the left so
*b*is positive - b = 5
- The number 357,096 converted to scientific notation is 3.57096 x 10^5

### Example: Convert 0.005600 to Scientific Notation

- Move the decimal 3 places to the right and remove leading zeros to get 5.600
- a = 5.600
- We moved the decimal to the right so
*b*is negative - b = -3
- The number 0.005600 converted to scientific notation is 5.600 x 10^-3
- Note that we do not remove the trailing 0's because they were originally to the right of the decimal and are therefore significant figures.

E notation is basically the same as scientific notation except that the letter e is substituted for "x 10^".

### Convert Scientific Notation to a Real Number

Multiply the decimal number by 10 raised to the power indicated.

3.456 x 10^4 = 3.456 x 10,000 = 34560

3.456 x 10^-4 = 3.456 x .0001 = 0.0003456

### Additional Resources

See the Scientific Notation Calculator to add, subtract, multiply and divide numbers in scientific notation or E notation.

To round significant figures use the Significant Figures Calculator.

To see how standard form is similar to scientific notation visit Standard Form Calculator.

If you need a scientific calculator see our resources on scientific calculators.