A book has 160 pages. How many page numbers contain the digit 'O?
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A book has 160 pages. So, 25 page numbers contain the digit '0' (zero).
Step-by-step explanation:
- Let us see which page numbers have '0' in it. If we see pages one by one, the required page numbers are:
- 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 120, 130, 140, 150 and 160.
- So, there are 25 page numbers with the digit '0'.
Note:
We can check the page numbers as multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 140, 150 and 160.
We must not forget about the numbers: 101, 102, 103, 104, 105, 106, 107, 108 and 109.
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Answer:
There are 25 page numbers with the digit '0'.
Step-by-step explanation:
- In context to the given question, We have to find the number of pages contains zero "0"
- If we take a glance at the pages;
⇒Let us see which page numbers have '0' in it.
⇒ All the 16 number which are divisible by has "0" in it = 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150 and 160.
⇒ And, the 9 number between 100 and 110 = 101, 102, 103, 104, 105, 106, 107, 108, 109,
⇒So, The total number of pages with "0" digit = 16 + 9 = 25
Therefore, there are 25 page numbers with the digit '0'.
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