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What is the 1000th  positive integer with an odd number of digits?

SmartMathMan  Dec 28, 2017

Best Answer 

 #2
avatar+93866 
+2

I do not think our guest has interpreted the question as it is written, I think he/she has found the 1000th odd integer, not the 1000th integer with an odd number of digits.

 

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there are 9 one digit numbers.  1-9                                      9-1+1=9

there are  900   three digit numbers  100-999                          999-100+1=900

that is 909 altogether

So the 1000th one will have 5 digits.

1000-909=91

10000 is the 910th one, 

 

10090 is the 1000th one.

Melody  Dec 28, 2017
 #1
avatar
+1

1000th term = First term + [Number of term - 1] x Common difference.

1,000th = 1 + [1,000 - 1] x 2

1,000th = 1 + [999 x 2]

1,000th= 1 + 1,998

1,000th term =1,999

Guest Dec 28, 2017
 #2
avatar+93866 
+2
Best Answer

I do not think our guest has interpreted the question as it is written, I think he/she has found the 1000th odd integer, not the 1000th integer with an odd number of digits.

 

--------------

 

there are 9 one digit numbers.  1-9                                      9-1+1=9

there are  900   three digit numbers  100-999                          999-100+1=900

that is 909 altogether

So the 1000th one will have 5 digits.

1000-909=91

10000 is the 910th one, 

 

10090 is the 1000th one.

Melody  Dec 28, 2017

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