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Scientific notation is useful in today's world in a few ways. It help with studies and help finding issues.
Scientific notation is useful for very large or very small numbers. If you use such numbers in your "real world", then scientific notation will be very useful. This may be the case, for example, when you work in science or engineering. Otherwise, if you don't work in an area that uses such large or small numbers, you probably won't find much use for them.
It helps simplifies large numbers. If your occupation requires you to deal with million, billions, trillions, or larger, then scientific notation saves a lot of time and confusion.
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When working with really large or really small numbers.
Scientific notation is a short hand way of expressing numbers that are very large or very small such as 10,000,000 = 1.0*107 or 0.0000001 = 1.0*10-7