I understand Scientific Notation as for example
1.3E2,
which = 130 as the 2 is the exponent of the 10 by which the 1.3 is multiplied.
My calculator & other sources give alternatively, Engineering Notation, in which the same would be
1.3 X 102 Same number, 130.
Yet I've seen the latter also described as "Scientific". The choice is yours. I find E.N. slightly clearer for index-arithmetic but that's a matter of practice.
Cor! All this struggling to write indices in a text message, and I've just spotted that Answers gives super- and sub- script keys in its tool-bar!
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Scientific notation is a way to express very large or very small numbers. For very large exponent is positive; for very small exponent is negative. For example, 1,000,000 is 1 x 10 to the plus 6 exponent; 0.000001 is 1 x 10 to the negative 6 exponent
Scientific notation is a way to write very large or very small numbers using exponents. For example 2000 is 2x103 . We can do the same thing with negative exponents and write very small numbers like 1/2000 which is 2x10-3 . So one real life use of exponents in in scientific notation.
It's probably in base ten because we use base ten for all our OTHER work in numbers as well. We learn to write numbers in base ten when in elementary school, and use base ten throughout our lives even if we aren't scientists or mathematicians or students or professionals who need to use scientific notation. So keeping scientific notation in base ten makes it easier for everyone to learn and read.
Numbers expressed using exponents are called powers. When writing a number expressed as an exponent, the number is called the base.
Scientists have developed a shorter method to express very large numbers. This method is called scientific notation. Scientific Notation is based on powers of the base number 10.The number 123,000,000,000 in scientific notation is written as :