Because if you oversimplify your answer, you may not be able to differentiate between two different values. i.e. say your ruler only reads to 1 millimetre but all your samples are approx 5 millimetres and you cannot tell the difference. you need an instrument that will allow you to tell the difference. this is the same as if you have the instrument that allows you to get more accurate readings, then you report all of them as 5mm, when one of them is 5.4mm and the other is 4.6mm. There is large difference between them and because you simplify them you can't see that.
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for the perfect measurements,ie engineers and buildings incase of swaying etc.,....
Placing a question mark at the end of a list of expressions or numbers does not make it a sensible question. Try to use a whole sentence to describe what it is that you want answered.
It is appropriate to use scientific notation when dealing with very large or very small numbers, particularly when the numbers have many zeroes. Scientific notation is a more compact and efficient way to express these numbers, making calculations and comparisons easier. Additionally, scientific notation is commonly used in scientific fields to express measurements and mathematical equations.
Because sometimes numbers get very big or very small.
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.