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How many times does the digit 9 appear in the list of all integers from 1 to 500? (The number 99, for example, is counted twice, because 9 appears two times in it.)

 Oct 3, 2018
 #1
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+1

Here are ALL the digits from 0 to 9 in 1 to 500:

 

(0=91, 1=200, 2=200, 3=200, 4=200, 5=101, 6=100, 7=100, 8=100, 9=100)

 Oct 3, 2018
 #2
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+1

1 digite numbers      1 time

2 digits up to 89          8 times

90 to 98                    9 times

99                             2 times

total so far is 20

100 and something   20times

200 and something   20 times

300 and something   20 times

400 and something   20 times

 

Total os   5*20 = 100 times

 Oct 3, 2018
edited by Melody  Oct 3, 2018

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