Because otherwise you will have a number that is really, really long like 29,000,000,000 when you could just have a simpler thing like 2.9 x 10^10.
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when you work with scientific notation you get to use the powers of ten
Notation is simply the process of writing something down in some kind of format; for example, scientists have a particular technique for writing numbers which is called scientific notation, which makes use of powers of ten. So instead of writing 13,000,000 a scientist would write 1.3 x 10^7.
To add or subtract two numbers in scientific notation:Step 1: Adjust the powers of 10 in the 2 numbers so that they have the same index. (Tip: It is easier to adjust the smaller index to equal the larger index).Step 2 : Add or subtract the numbers.Step 3 : Give the answer in scientific notation.To divide numbers in scientific notation:Step 1 : Group the numbers together.Step 2 : Divide the numbers.Step 3 : Use the law of indices to simplify the powers of 10.Step 4 : Give the answer in scientific notation.To multiply numbers in scientific notation:1. Multiply the coefficients2. Add the exponentswww.onlinemathlearning.com/adding-scientific-notation.htmlhttp://www.onlinemathlearning.com/dividing-scientific-notation.htmlhttp://www.onlinemathlearning.com/scientific-notation.html
In scientific notation it is 3.5*10-8 metres whereas otherwise it is 0.000000035 metres. It is much easier to make a mistake in writing or reading the second form.
In those countries that use the long scale (based on powers of a million) eg Europe:1 trillion = million3 = 1018 ⇒ 211/2 trillion = 2.15 x 1019, ie exponent is 19.In those countries that use the short scale (based on powers of a thousand), eg USA:1 trillion = thousand x thousand3 = 1012 ⇒ 211/2 trillion =2.15 x 1013, ie exponent is 13.