0.0000000000056 / 70,000
I got: (5.6 x 10 ^-13) / (7 x 10^4) = .8 x 10^-16
I understand that to be incorrect, I just not sure how and why, any ideas would be appreciated.
2006-11-01 12:02:29 · 7 answers · asked by Laura 1 in Science & Mathematics ➔ Mathematics
That is the correct about zero's in the equation, what I think is incorrect is the answer i calculated.
2006-11-01 12:45:39 · update #1
lets look at it this way
5.6 x 10^-1 = .56
5.6 x 10^-2 = .056
5.6 x 10^-3 = .0056
5.6 x 10^-4 = .00056
5.6 x 10^-5 = .000056
5.6 x 10^-6 = .0000056
5.6 x 10^-7 = .00000056
5.6 x 10^-8 = .000000056
5.6 x 10^-9 = .0000000056
5.6 x 10^-10 =.00000000056
5.6 x 10^-11 =.000000000056
5.6 x 10^-12 =.0000000000056
you count how many decimal places you move .
70000 = 7 x 10^4
5.6 x 10^-12 = .0000000000056
5.6 x 10^-12 / 7 x 10^4 = 8 x 10^-17
2006-11-01 12:40:47 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Alan Turing gave the right answer, except for two things:
1. He didn't notice that the number you wrote out is not
5.6 x 10^-13. It is 5.6 x 10^-12. Maybe you left out a zero when you wrote it out at the beginning of your question, but if you got it right, then the exponent should be -12.
In fact, the solution that you put in your question would be right if you changed the -13 to -12. All you would need to do is convert your answer from 0.8 x 10^-16 to 8 x 10^-17, because the multiplier (the "mantissa") has to be greater than or equal to 1 (and less than 10).
2. For some reason, Alan Turing divided 5.6 by 7 and did not get 0.8. Fortunately, his answer rounded to 0.8, so that didn't affect the final result.
Bottom line: Use Alan Turing's solution, but if you wrote the original number correctly, change his negative exponent from -18 to -17.
2006-11-01 20:41:20 · answer #2 · answered by actuator 5 · 0⤊ 0⤋
The correct answer should be 8.0 x 10^-17. So you should have had 5.6 x 10^-12. You move the decimal point twelve spots to the left to get it immediately to the right of 5.
2006-11-01 20:09:01 · answer #3 · answered by salamander 2 · 0⤊ 0⤋
When you divide one number by another and they are in scientific notation, you can separate the mantissa (the number to the left of the ten raised to a power) and the power of ten. You can then bring the power of ten up to the numerator by simply changing the sign of the power.
So the problem becomes
(5.6/7) x 10^-13 x 10^-4
5.6/7 is 0.82857, which you round to 0.8 to keep one significant digit.
10^-13 x 10^-4 becomes 10^-17
So, putting the answer in correct scientific notation, it is:
8 x 10^-18
2006-11-01 20:08:24 · answer #4 · answered by Alan Turing 5 · 0⤊ 0⤋
Yes you're right..the answer should be 8 x 10^-18 or 0.8 x 10^-17.
I also don't know how..i just used the calculator.
2006-11-01 20:12:57 · answer #5 · answered by honeymay 2 · 0⤊ 0⤋
i got.. (5.6 X 10 ^ -12) / (7.0 X 10 ^ 4) = something..
anyways..becasue if you move the decimal over, then you would get 12..you get it? 0.0000000000056..so theres 11 zeros and one five..so then it would be 10 ^ -12
2006-11-01 20:09:08 · answer #6 · answered by sMARtYfreak 2 · 0⤊ 0⤋
(5.6 x 10^ -12) / (7 x 10^ 4) = 39.2 x 10 ^ -8
2006-11-01 20:07:38 · answer #7 · answered by bethbeth09 1 · 0⤊ 0⤋