Question
The last page of the book is marked with the number 710. How many digits did everyone need for this book? to number the pages? Justify your answer.
100
likes500 views
Answer to a math question The last page of the book is marked with the number 710. How many digits did everyone need for this book? to number the pages? Justify your answer.
Birdie
4.5102 Answers
Solution:
1. Determine the number of pages with different digit counts:
- Pages 1 to 9: Single-digit pages.
* Total pages: 9
* Digits used per page: 1
* Total digits:9 \times 1 = 9
- Pages 10 to 99: Double-digit pages.
* Total pages: 99 - 10 + 1 = 90
* Digits used per page: 2
* Total digits:90 \times 2 = 180
- Pages 100 to 710: Triple-digit pages.
* Total pages: 710 - 100 + 1 = 611
* Digits used per page: 3
* Total digits:611 \times 3 = 1833
2. Sum all the digits from each group:
9 + 180 + 1833 = 2022
Conclusion:
The total number of digits required to number all the pages from 1 to 710 is 2022.
1. Determine the number of pages with different digit counts:
- Pages 1 to 9: Single-digit pages.
* Total pages: 9
* Digits used per page: 1
* Total digits:
- Pages 10 to 99: Double-digit pages.
* Total pages: 99 - 10 + 1 = 90
* Digits used per page: 2
* Total digits:
- Pages 100 to 710: Triple-digit pages.
* Total pages: 710 - 100 + 1 = 611
* Digits used per page: 3
* Total digits:
2. Sum all the digits from each group:
Conclusion:
The total number of digits required to number all the pages from 1 to 710 is 2022.
Frequently asked questions (FAQs)
What is the x-coordinate of the vertex for the quadratic function f(x) = x^2?
+
Question: For f(x) = sin x, find the period, amplitude, vertical shift, and range of the function.
+
How many types of triangles are there based on side length and angle measurements?
+
New questions in Mathematics