# How to use Scientific Notation

Convert a variety of to and from clinical notation, e notation, engineering notation and actual numbers. Enter a variety of or a decimal quantity or clinical notation and the calculator converts to clinical notation, e notation and engineering notation formats.

To input a variety of in clinical notation use a carat ^ to signify the powers of 10. You also can input numbers in e notation. Examples: 3.forty five x 10^five or 3.45e5.

# How to Convert a Number to Scientific Notation

The right layout for clinical notation is a x 10^b where a is a variety of or decimal quantity such that absolutely the fee of a is more than or identical to at least one and much less than ten or, 1 ≤ |a| < 10. b is the strength of 10 required in order that the clinical notation is mathematically equal to the authentic quantity. Use this calculator by clicking the below link.

https://www.allmath.com/scientific-notation-calculator.php

1. Move the decimal factor for your quantity till there’s most effective one non-0 digit to the left of the decimal factor. The ensuing decimal quantity is a.

2. Count what number of locations you moved the decimal factor. This quantity is b.

3. If you moved the decimal to the left b is positive.

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

If you probably did now no longer want to transport the decimal b = 0.

4. Write your clinical notation quantity as a x 10^b and study it as “a instances 10 to the strength of b.”

5. Remove trailing 0’s most effective in the event that they have been in the beginning to the left of the decimal factor.

# Example: Convert 357,096 to Scientific Notation

- Move the decimal five locations to the left to get 3.57096
- a = 3.57096
- We moved the decimal to the left so b is positive
- b = five
- The quantity 357,096 transformed to clinical notation is 3.57096 x 10^five

## Example: Convert 0.005600 to Scientific Notation

- Move the decimal three locations to the proper and put off main zeros to get 5.six hundred
- a = 5.six hundred
- We moved the decimal to the proper so b is negative
- b = -three
- The quantity 0.005600 transformed to medical notation is 5.six hundred x 10^-three
- Note that we do now no longer put off the trailing 0’s due to the fact they had been at first to the proper of the decimal and are therefore widespread figures.

E notation is largely similar to medical notation besides that the letter e is substituted for “x 10^”.