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Question 157: Hi
ok i have no idea how to do scientific notations and i was wondering if there was a site i could go to anyways
if u have to rewrite in decimal form
96.3 it would be 9.63 x 10 to the 1 power
and if it is .oooo987 it would be 9.87 x 10 to the 5th power
am i right??
Found 3 solutions by KMST, timofer, ikleyn:
Answer by KMST(5484)   (Show Source):
You can put this solution on YOUR website! I am a scientist, so I know about scientific notation.
You are almost right. I would say half right:
 , but
 .
I would say it is 9.87 times 10 to the minus 5.
There are many different ways to write a number, and some the ways to write 96.3 are shown below.
 .
However, only one of those forms to write 96.3 is in scientific notation.
The idea of scientific notation is writing values as a number times a power of ten,
with the number multiplied by the power of ten being at least 1, but less than ten.
Scientists use that way of expressing numbers to show the decimal places they know to be sure they are exact.
If scientists say a measurement is  ,
they are sure the 9 and 8 are correct, and they are pretty sure about the 7,
but they do not want to invent zeroes after the 7.
If a year ago you saw a fossil in a museum, and they told you it was 2 million years old,
you know it was  years old.
You cannot say it is now 2 million and one years old.
It is still years old today, and next year, and 10 years from now.
If they had told you it was  exactly 2 million, then you could say it is 2,000,001 years old now.
To convert a number to scientific notation,
you need to move the decimal point as many places to the right or to the left as needed
to get just one non-zero digit to the left of the decimal point.
Then you write times 10 to the number of places the decimal point to the left,
or 10 to minus the number of places you moved it to the right.
Each time you move the decimal point one place to the right you are multiplying times 10.
To get from 0.0000987 to 9.87, (a much larger number) you had to move the decimal point one place to the right 5 times.
If  , to get back to meaning the original small number,
you need to write  after  .
Each time you move the decimal point one place to the left you are dividing by 10,
and getting a smaller number, to get back to the original larger number you need to multiply times 10 the same number of times
Answer by timofer(161)  (Show Source):
You can put this solution on YOUR website! Part of ones basic education. Your high school and junior high textbooks for mathematics and sciences have this covered well enough. Small digital numbers or large digital numbers are adjusted to be some main number between 1 and 10, not including the 10, and the power of 10 is adjusted to keep the same meaning as the original number. A matter of multiplying or dividing by powers of 10.
examples
0.00094 = 9.4 x 10^-4
because smaller than 9.4
94000000 = 9.4 x 10^7
because bigger than 9.4
Answer by ikleyn(54061)  (Show Source):
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