Scientific notation is a way to express numbers that are either very small or very large. In traditional notation the first kind would have a lot of 0s between the decimal point and the first significant figure whereas the second kind would have a large number of trailing 0s. The need for scientific notation arose from advances in various branches of science: atomic particles in physics or chemistry, astronomical or cosmological distances, size of single cell animals. Nowadays, even non-scientific values such as population, national debts (of some countries) could usefully utilize scientific notation.
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Scientific notation is a way of representing numbers, usually very large or very small, in the form a*10^b where 1 <= |a| < 10 is a decimal number and b is an integer (negative or positive). a is called the mantissa and b is called the exponent.
No. Scientific numbers are constants that appear in science. They may or may not require scientific notation.
It is: 9.65*10^14 in scientific notation
The scientific notation of 405.1 is 4.051 x 102.
Sometimes. Scientific notation is used to express very small or very large numbers. If the problem does not involve any such numbers then there is no need for scientific notation.
No, it is not. In many branches of science it is necessary to deal with numbers which are very large or very small and scientific notation is used to represent such numbers more easily.