Using scientific notation means that very large and very small numbers can be written concisely, and working with them becomes much easier.
Example
12340000000000000000000 x 0.0000000000004545
looks extremely difficult, but using scientific notation this becomes:
(1.234 x 1022) x (4.545 x 10-13) = (1.234 x 4.545) x (1022 x 10-13)
= 5.60853 x 109
= 5608530000
it helps us to simplify a number for example a number as long as 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 can be simplified with the scientific notation method by counting were the decimal goes all the way to the zero.
for instance what is 6,934,000 in scientific notation .... i would bring the decimal from behind the last zero to the six and count 1...2...3...4...5...6 and 6 is the exponent and 6.934 is the decimal and where does the decimal go? it goes like this ...... 6.934 x 106 :)
It is easier than writing billions and millions by using scientific notation. Therefore, there is no mix up of what the numbers represent.
it is important to us to use scientific notation because if we use it we can read the numbers easily. Scientific notation is important because it make writing numbers easier. For example, you are contestant in a quiz bee and the examiner says,134000000000000x500000000000 or something like that you will lost time writing zeroes and you will also confused about it instead we can just write it in a scientific notation.
The scientific notation is 1.2 x 1012 (US name 1.2 trillion).
The scientific notation for 598,000 is 5.98 x 10^5.
It helps simplifies large numbers. If your occupation requires you to deal with million, billions, trillions, or larger, then scientific notation saves a lot of time and confusion.
It is one of the great ironies of Mathematics that "standard" is not standard. In the US, standard notation is a number, like 953, which would be written in scientific notation as 9.53 x 10^2 In Britain, scientific notation is also known as "standard form."
It is: 8.0*10^9
1.4565 x 10^4
5.89917 x 103
Scientific notation is a way to represent very large or very small numbers. Developments in science allow us to investigate the universe as well as the microcosm: both these involve very large and/or small numbers. Furthermore, outside of scientific there are numbers such as population counts, the value of international trade, the US budget deficit, China's currency surplus whose use is considerably simplified by using scientific notation.
it does not
I don't know what you mean "how to write the rules." In the US, "standard" notation means "long form", i.e. 6,000,000, while "scientific" notation means the exponential form, 6x106. I had thought it was the same in the UK, but Mehtamatics says otherwise: "Standard notation and scientific notation are the same in terms of UK usage of these phrases."