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How many '7' in a range from '1' to '100'

By Michael Henderson
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This question appears on my daughter's Mathematics class in secondary school:

"There are 100 rooms in a hotel. Joe must number the rooms from 1 to 100 with plastic digits. How many times does he need the digit 7?"

My answer is: 07 17 27 37 47 57 67 77 87 97

Number 7 will appear 11 times. However, the book's answer on the back is: 20 times Can you explain why??

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2 Answers

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07,17,27,37,47,57,67,70,71,72,73,74,75,76,77,77,78,79,87,97

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7,17,27,37,47,57,67,70,71,72,73,74,75,76,77,78,79,87,97 So the answer is 20

(previous answer said 19, probably omitting the two 7s that are present in '77')

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