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Can every decimal be written in scientific notation?
Yes - you can always convert numbers to scientific notation - whether they're whole numbers, or decimals.
Is there a square root of 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000?
Yes, every positive real number has a real square root. If you would write your number in scientific notation, I could tell you what the root is.
What is the correct way to write 0.00120 in scientific notation?
Scientific notation consists of a number from 1-10, with the multiplication of 10 to the power of (x) for every spot that it takes for the decimal point to make the number 1-10. So to answer your question, 0.00120 in scientific notation would be 1.2 x1000. This is because the decimal point needed to be moved 3 spaces. So 10 times (x), in this 3, creates the formula 10 to the 3rd power. OR just write the number '1' down, and for every spot moved, add a 0. This is much easier (and not to mention FASTER) in my opinion.
How does scientific notation differ from ordinary notation?
Scientific notation uses short-hand for long numbers, writing the numbers in a standard form of a decimal number greater or equal to 1 and less than 10 multiplied by a power of 10, whereas ordinary notation just writes the number as one would every number. It helps to avoid errors when there could be a lot of zeros and makes the writing of numbers more compact.. As an example, 573,000,000,000,000 would be written as 5.73 x 10^14. This also allows numbers to be rounded as necessary without a bunch of 0s. For example, 573,261,578,357,198 to three significant figures would be 573,000,000,000,000 which would be written as 5.73 x 10^14 (as above).
How far does light travel in 20 seconds using scientific notation?
In a vacuum, light travels about 3,725,648 miles every 20 seconds. In scientific notation this distance is expressed as: 3.725648 x 106 miles per 20 seconds.
