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A printer numbers the pages of a book starting with 1 and uses 3189 digits in all . How many pages does the book have ?? Answer with explanation.?
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Problem:
A printer numbers the pages of a book starting with 1 and uses 3189 digits in all. How many pages does the book have?
Solution:
Let's assume that the book has 'n' pages.
Step 1: Finding the total number of digits used to number the pages from 1 to n.
We know that:
1. If n is a single-digit number, then the total number of digits used to number the pages is n.
2. If n is a two-digit number, then the total number of digits used to number the pages is 9+90x2=189.
3. If n is a three-digit number, then the total number of digits used to number the pages is 9+90x2+900x3=2889.
Using the above logic, we can find the total number of digits used to number the pages from 1 to n.
Step 2: Finding the number of pages in the book.
We need to find the value of 'n' for which the total number of digits used to number the pages from 1 to n is equal to 3189.
Using the above logic, we can find the value of 'n' for which the total number of digits used to number the pages from 1 to n is equal to 3189.
Step 3: Final Answer.
The book has n pages.
Therefore, the book has ____ pages.
A printer numbers the pages of a book starting with 1 and uses 3189 digits in all. How many pages does the book have?
Solution:
Let's assume that the book has 'n' pages.
Step 1: Finding the total number of digits used to number the pages from 1 to n.
We know that:
1. If n is a single-digit number, then the total number of digits used to number the pages is n.
2. If n is a two-digit number, then the total number of digits used to number the pages is 9+90x2=189.
3. If n is a three-digit number, then the total number of digits used to number the pages is 9+90x2+900x3=2889.
Using the above logic, we can find the total number of digits used to number the pages from 1 to n.
Step 2: Finding the number of pages in the book.
We need to find the value of 'n' for which the total number of digits used to number the pages from 1 to n is equal to 3189.
Using the above logic, we can find the value of 'n' for which the total number of digits used to number the pages from 1 to n is equal to 3189.
Step 3: Final Answer.
The book has n pages.
Therefore, the book has ____ pages.
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A printer numbers the pages of a book starting with 1 and uses 3189 digits in all . How many pages does the book have ?? Answer with explanation.?
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A printer numbers the pages of a book starting with 1 and uses 3189 digits in all . How many pages does the book have ?? Answer with explanation.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A printer numbers the pages of a book starting with 1 and uses 3189 digits in all . How many pages does the book have ?? Answer with explanation.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A printer numbers the pages of a book starting with 1 and uses 3189 digits in all . How many pages does the book have ?? Answer with explanation.?.
A printer numbers the pages of a book starting with 1 and uses 3189 digits in all . How many pages does the book have ?? Answer with explanation.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A printer numbers the pages of a book starting with 1 and uses 3189 digits in all . How many pages does the book have ?? Answer with explanation.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A printer numbers the pages of a book starting with 1 and uses 3189 digits in all . How many pages does the book have ?? Answer with explanation.?.
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