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How would I write "4600x10^-22" in actual scientific notation? Would it be x10^-25 or x10^-19?
 Jan 13, 2014
 #1
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Well, a scientific notation to be correct can only have one digit to the right of the decimal place. (Ex.: 1.0*10^1, 2.598468*10^19)
As a result, you have to modify the 4600*10^-22 to become 4.600*10^x.
If you break down 4600 into scientific notation, it is 4.6*10^3. So -3, from the scientific notation of 4600, + -22, from the scientific notation of the original number, = -19. So the answer would be 4600*10^-22 = 4.600*10^19.
 Jan 13, 2014
 #2
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sp3ctr3:

Well, a scientific notation to be correct can only have one digit to the right of the decimal place. (Ex.: 1.0*10^1, 2.598468*10^19)
As a result, you have to modify the 4600*10^-22 to become 4.600*10^x.
If you break down 4600 into scientific notation, it is 4.6*10^3. So -3, from the scientific notation of 4600, + -22, from the scientific notation of the original number, = -19. So the answer would be 4600*10^-22 = 4.600*10^19.



Hi Sp3ctr3,
Thanks, that was a great answer, I am sorry to be posting over you but you made a little error at the end of your post. You forgot a minus sign
also, 4.600 is the same as 4.6
so
4.6 x 10 -19 is a slightly better answer unless you know for sure that the 2 zeros are significant. (which you don't know)

If you want I will delete this post when you fix up your post.
 Jan 13, 2014

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