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51 Numbers

30-9 is equal to the number of two digit numbers

21*2=42

Then you add the 9 single digit ones

42+9=51

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If you number the pages of a book from 1 to 225 how many digits will you write?

numbersdigitstotal digits1to991910to99902180100to2251263378Total567


How many The number of digits used to write all the page number in the book is 35.how many pages has the book?

To find the total number of pages in the book, we can break down the page numbering. The digits used for pages 1 to 9 (9 pages) total 9 digits. For pages 10 to 99 (90 pages), they use 2 digits each, contributing 180 digits. Since 35 digits are used in total, this means the pages range from 1 to 24. The calculation is as follows: pages 1-9 use 9 digits, and pages 10-24 (15 pages) use 30 digits (15 × 2), totaling 39 digits. Therefore, the book has 24 pages.


If it takes 1140 digits to number the pages of a book how many pages does it have?

1140


How many digits are required to number the pages of a book having 256 pages?

To number the pages of a book with 256 pages, you need 3 different digit counts: 1-digit pages (1 to 9), 2-digit pages (10 to 99), and 3-digit pages (100 to 256). The 1-digit pages (1-9) require 9 digits, the 2-digit pages (10-99) require 90 pages × 2 digits = 180 digits, and the 3-digit pages (100-256) require 157 pages × 3 digits = 471 digits. Adding these together gives a total of 9 + 180 + 471 = 660 digits needed.


When numbering the pages of a book 624 digits were used find the number of pages in the book?

This problem can be solved by applying the counting principle to digits in consecutive page numbers. To begin, we need to separate numbers into their numbers of digits in order to multiply the page numbers to find the number of digits needed to express them. Assuming that your book begins on page 1, there are 9 page numbers having one digit only (counting principle: 9 - 1 + 1 = 9). Since each of these pages is numbered with one digit, the number of digits used is 9 so far. Continue with the pages each numbered with two digits. These are pages 10-99, comprising 90 pages (99 - 10 + 1 = 90). Every page number multiplied by 2 digits each is 180. With the 9 digits coming from single-digit pages, the number of digits used so far is now 189. We can continue in the same manner for pages expressed with three digits, 100-999, but having 435 (624 total - 189 so far = 435) digits left, we probably won't be able to get through all the three-digit numbers. Also, a book is likely to have under a thousand pages. To find out how many pages are left, we divide the number of digits left by the number of digits needed for each page: 435/3 = 145 pages left. Since 145 pages only account for the pages numbered with three digits each, we need to add pages numbered with one and two digits each in order to find the total number of pages. Before 145 pages began to be accounted for, we had accounted for the digits of 99 pages (each numbered using one or two digits each), so the total number of pages is 99 + 145 = 244.

Related Questions

If you number the pages of a book from 1 to 225 how many digits will you write?

numbersdigitstotal digits1to991910to99902180100to2251263378Total567


852 digits used to number the pages of a book how many numbered pages does the book have?

There are exactly 320 pages in 852 digits.


A printer uses 837 digits to number the pages of a book how many pages are in the book?

315


If it takes 1140 digits to number the pages of a book how many pages does it have?

1140


When numbering the pages of book 492 digits were used fund the number of pages in the book?

Let x be the number of pages in the book. Each page number has 3 digits, so the total number of digits used is 3x. We know that 3x = 492. Therefore, the number of pages in the book is x = 492 / 3 = 164 pages.


When a book has 250 pages and the pages are numbered starting with one how many digits did the printer use to number the pages of the book?

642


The pages of a book are numbered and it's found that 495 digits are used How many pages were there?

There are 9 pages that use a single digit (pages 1-9), leaving 495 digits - 9 pages × 1 digit/page = 486 digits There are 90 pages that use 2 digits (pages 10-99), leaving 486 digits - 90 pages × 2 digits/page = 306 digits There are 900 pages that use 3 digits (pages 100-999); this would be 2,700 digits, so the number of pages is somewhere in the hundreds. 306 digits ÷ 3 digits/page = 102 pages in the hundreds. → total number of pages = 102 + 90 + 9 = 201 pages.


When numbering the pages of a book 624 digits were used find the number of pages in the book?

This problem can be solved by applying the counting principle to digits in consecutive page numbers. To begin, we need to separate numbers into their numbers of digits in order to multiply the page numbers to find the number of digits needed to express them. Assuming that your book begins on page 1, there are 9 page numbers having one digit only (counting principle: 9 - 1 + 1 = 9). Since each of these pages is numbered with one digit, the number of digits used is 9 so far. Continue with the pages each numbered with two digits. These are pages 10-99, comprising 90 pages (99 - 10 + 1 = 90). Every page number multiplied by 2 digits each is 180. With the 9 digits coming from single-digit pages, the number of digits used so far is now 189. We can continue in the same manner for pages expressed with three digits, 100-999, but having 435 (624 total - 189 so far = 435) digits left, we probably won't be able to get through all the three-digit numbers. Also, a book is likely to have under a thousand pages. To find out how many pages are left, we divide the number of digits left by the number of digits needed for each page: 435/3 = 145 pages left. Since 145 pages only account for the pages numbered with three digits each, we need to add pages numbered with one and two digits each in order to find the total number of pages. Before 145 pages began to be accounted for, we had accounted for the digits of 99 pages (each numbered using one or two digits each), so the total number of pages is 99 + 145 = 244.


408 digits used to number the pages of a book how many numbered pages does the book have?

I'm going to go with 172. pages 1-9 = 9 digits pages 10-99 = 180 digiits leaves 219 digits each page from 100 on = 3 digits 219 /3 = 73 99 pages plus 73 page = 172


When numbering the pages of a book 822 digits were used what is the number of the last page?

To determine the last page number using 822 digits, we can break it down by the number of digits used for each range of page numbers. Pages 1 to 9 use 9 digits (1 digit each), pages 10 to 99 use 180 digits (90 pages × 2 digits), and pages 100 onward use 3 digits each. After using 189 digits for pages 1 to 99, there are 633 digits remaining for pages 100 and beyond, which accounts for 211 pages (633 ÷ 3). Thus, the last page is 99 + 211 = page 310.


How many digits are in a 192 page book?

That's going to depend on the subject matter of the book. Besides the digits used to number the pages, an arithmetic book will have a lot more digits in it than, for example, a novel or a book of poetry has.


How many pages does the book have with 600 digits?

299 pages.