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Scientific notation is needed any time you need to express a number that is very big or very small. Suppose for example you wanted to figure out how many drops of water were in a river 12 km long, 270 m wide, and 38 m deep (assuming one drop is one millilitre). It's much more compact and meaningful to write the answer as roughly 1.23x10 to the 14th power than it is to write 123120000000000.

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Q: Real life examples of scientific notation?
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