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The Total Number of Digits Used in Numbering the Pages of a Book Having 366 Pages?

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Explanation

  • The total number of digits used in numbering the pages of a book having 366 pages.

This question is divided into three steps.

  • In the first step; we will find-out the digits used in the 1-digit page numbers.
  • In the second step; we will determine the digits used in the 2-digit page numbers.
  • In the third step; we will evaluate the digits used in the 3-digit page numbers upto 366.

After calculating the required values in first, second and third step; we will add them up to get our required answer (9 + 180 + 801 = 990)

To Find

Number of digits = ?

Solution

Number of digits in the 1-digit page number = (9 – 0) x 1 = 9 x 1 = 9

Number of digits in the 2-digit page number = (99 – 9) x 2 = 90 x 2 = 180

Number of digits in the 3-digit page number = (366 – 99) x 3 = 267 x 3 = 801

Required number of digits = 9 + 180 + 801 = 990 answer

Conclusion

The total number of digits used in numbering the pages of a book having 366 pages are 990.

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