How to do Scientific Notation?

Generally Scientific notation of a number is in the form of a * 10b, where a is a real number and exponent b is an integer. Scientific notation practice of numbers is being used by different kinds of people who are experts in maths and even general people. So the way of representation could be different from one to another. But the basic methodology of representation remains the same. So here are some of the ways explaining how to do Scientific Notation.

One such notation is the Normalized Notation in which exponent b needs to be chosen such that absolute value of 'a' remains less than 10. Another notation is an engineering notation in which exponent b should be in the multiples of 3. One more method is of significant figures where after finding the result from normalized notation is expressed with all significant figures. Calculators uses the E notation where they replace the '10' thing by 'e'. Here the 'e' is different from the mathematical constant. It simply represents power of 10 in this case.

Some Important Scientific Notation Rules:

Now let us look at some of the common rules for scientific notation. One rule states that standard notation should be a number from 1 to 9 followed by a decimal and remaining significant digits followed by the exponent thing. Out of all Scientific Notation Rules, one of the most important one is for addition/subtraction in this notation, For that exponents should be made same. For multiplication, numbers should be multiplied while the sum of exponents should be taken. 

For e.g. If we want to multiply 2 * 105 and 3 * 104,using above rule, it should be (2*3) * 10(5+4), i.e. 6 * 109. With such kind of rules, dealing with this notations becomes reliable.

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