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what are the practical usages of scientific notation?
Scientific notation is the way that scientists easily handle very large numbers or very small numbers. For example, instead of writing 0.0000000056, we write 5.6 x 10-9. [ [ So, how does this work? We can think of 5.6 x 10-9 as the product of two numbers: 5.6 (the digit term) and 10-9 (the exponential term). Here are some examples of scientific notation. 10000 = 1 x 104 24327 = 2.4327 x
104 1000 = 1 x 103 7354 = 7.354 x 103 100 = 1 x 102 482 = 4.82 x 102 10 = 1 x 101 89 = 8.9 x 101 (not usually done) 1 = 100 1/10 = 0.1 = 1 x 10-1 0.32 = 3.2 x 10-1 (not usually done) 1/100 = 0.01 = 1 x 10-2 0.053 = 5.3 x 10-2 1/1000 = 0.001 = 1 x 10-3 0.0078 = 7.8 x 10-3 1/10000 = 0.0001 = 1 x 10-4 0.00044 = 4.4 x 10-4 ] ]
Expert answered|user1583|Points 771|
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Asked 9/5/2011 8:34:31 PM
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Why is scientific notation so important in our modern day society?
Weegy: 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 than it is to write 123120000000000. For one thing, the scientific notation is easier to read, and makes it much easier to tell at a glance what the order of magnitude is (rather than counting zeros). For another, most of the digits in 123120000000000 are completely meaningless (unless your measurements were very precise). For instance, if the exact river length were really 12.123123 km (we just measured it to the nearest kilometre), then correct number of drops would be 124383242000000, and after the first three digits our result of 123120000000000 is quite inaccurate. So it's better to use a notation (like scientific notation) in which you can suppress the inaccurate digits. ] (More)
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