Check whether 6ncan end with the digit 0 for any natural numbern.
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Please find below the solution to the asked query:
To check whether ' 6 n ' gives end ( units ) digit is ' 0 ' at n = Any natural numbers ,
we know natural numbers : 1 , 2 , 3 , 4 , . . .
So,
n = 1 , 2 , 3 , 4 . . .
And we know 6 = 2 3
And we know 2 5 = 10
So when ' n ' is multiple of ' 5 ' . We get ' 6 n ' end digit is ' 0 ' .
At n = 5 , 1 0, 15 , 20 , . . .
As at n = 5
6 n = 6 5 = 30 , Here end digit is ' 0 ' .
Or at n = 10
6 n = 6 10 = 60 , Here end digit is ' 0 ' .
Therefore,
Yes , ' 6 n ' can give end digit ' 0 ' at n = 5 , 1 0, 15 , 20 , . . . . ( Ans )
Hope this information will clear your doubts about topic.
If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.
Regards
Please find below the solution to the asked query:
To check whether ' 6 n ' gives end ( units ) digit is ' 0 ' at n = Any natural numbers ,
we know natural numbers : 1 , 2 , 3 , 4 , . . .
So,
n = 1 , 2 , 3 , 4 . . .
And we know 6 = 2 3
And we know 2 5 = 10
So when ' n ' is multiple of ' 5 ' . We get ' 6 n ' end digit is ' 0 ' .
At n = 5 , 1 0, 15 , 20 , . . .
As at n = 5
6 n = 6 5 = 30 , Here end digit is ' 0 ' .
Or at n = 10
6 n = 6 10 = 60 , Here end digit is ' 0 ' .
Therefore,
Yes , ' 6 n ' can give end digit ' 0 ' at n = 5 , 1 0, 15 , 20 , . . . . ( Ans )
Hope this information will clear your doubts about topic.
If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.
Regards