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If K is an integer and 0.02020303 x 10K is greater than 5000, what is
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24 Mar 2023, 02:28
24 Mar 2023, 02:28
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If K is an integer and \(0.02020303 x 10^K\) is greater than 5000, what is the least possible value of K?
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Re: If K is an integer and 0.02020303 x 10K is greater than 5000, what is
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23 Apr 2023, 03:07
23 Apr 2023, 03:07
Expert Reply
We are given that, 0.02020303ร10^๐> 5000 where ๐ is an integer.
Now, if ๐ = 1, 0.02020303ร10^1= 0.2020303
If ๐ = 2, 0.02020303ร10^2= 2.020303
If ๐ = 3, 0.02020303ร10^3= 20.20303 and so on.
Since we need, 0.02020303ร10^๐> 5000
So, the least value of ๐ has to be 6.
i.e. 0.02020303ร10^6= 20203.03 > 5000
Hence, the answer is 6.
Now, if ๐ = 1, 0.02020303ร10^1= 0.2020303
If ๐ = 2, 0.02020303ร10^2= 2.020303
If ๐ = 3, 0.02020303ร10^3= 20.20303 and so on.
Since we need, 0.02020303ร10^๐> 5000
So, the least value of ๐ has to be 6.
i.e. 0.02020303ร10^6= 20203.03 > 5000
Hence, the answer is 6.
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Re: If K is an integer and 0.02020303 x 10K is greater than 5000, what is
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03 May 2023, 22:33
03 May 2023, 22:33
6
