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.
Scientific notation is a way of representing numbers in the form
a*10b 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.
The advantages of scientific notation are greater with very large and very small numbers, the notation can be used for any number.
Such small numbers aren't usually expressed in scientific notation but it is: 1.84*101
It is: 33,400,000 or as 3.34*107 in scientific notation
Scientific notation doesn't stop at a centillion. 1 centillion in scientific notation is 1 * 10303, but you can also write 1 * 10304 or even 9 * 109999999 in scientific notation. There is no upper limit to the numbers you can write in scientific notation.
It is: 2,600,000,000,000 or as 2.6*1012 in scientific notation
It is: 3,850,000,000 or 3.85*109 in scientific notation
Such numbers usually are not written in scientific notation but just for the exercise it is:- 1.095*102
Such small numbers aren't usually expressed in scientific notation but it is: 1.84*101
they express the numbers using scientific notation
It is: 33,400,000 or as 3.34*107 in scientific notation
Scientific notation doesn't stop at a centillion. 1 centillion in scientific notation is 1 * 10303, but you can also write 1 * 10304 or even 9 * 109999999 in scientific notation. There is no upper limit to the numbers you can write in scientific notation.
It is: 6,550,000 or as 6.55*106 in scientific notation
It is: 4,320,000 or as 4.32*106 in scientific notation
It is: 2,600,000,000,000 or as 2.6*1012 in scientific notation
It is: 3,850,000,000 or 3.85*109 in scientific notation
It is: 17,000,000,000,000 or as 1.7*1013 in scientific notation
It is: 115,000,000,000,000 or as 1.15*1014 in scientific notation
It is: 12,000,000 or as 1.2*107 in scientific notation