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A total of 642 digits was used in numbering the pages of a book how many pages did the both contain?
Wiki User
∙ 14y ago
1..9, 10..99, 100-250 = 9*1 + 90*2 + 151*3 = 642
Wiki User
∙ 14y ago
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A total of 642 digits was used in numbering the pages of a book. How many pages did the book contain?
453 0-9 9 digits 10-99 180 digits 100-250 453 digits
The pages in a book are numbered starting with 1 the book has 250 pages how many digits did the printer use in numbering the pages?
9 digits used for pages 1 to 9 (9 pages * 1 digit)180 digits used for pages 10 to 99 (90 pages * 2 digits)453 digits used for pages 100 to 250 (151 pages * 3 digits)Total = 9 + 180 + 453 = 642 digits used.(Of course a trick answer is 10 as there are only 10 possible different digits in decimal).
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.
How many pages total 555 digits?
221
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.
How many digits are in 30 pages that begin with one and there is one whole number in each page?
There are 9 pages with a single digit (pages 1-9) = 9 digits There are 30 - 9 = 21 pages with two digits = 21 × 2 = 42 digits → There are 9 + 41 = 51 digits in total.
A book uses exactly 264 digits for its page numbers Each page is numbered and the first page is 1 which is obviously 1 digit How many pages does the book have?
Pages 1 - 9 each have one digit, and so in total they use 9. Pages 10 - 99 each have two digits. There are 90 pages there, so we have now used 9 + (90 x 2) = 189 digits. Our book uses 264 - 189 = 75 digits more than this. That equates to 25 pages with three digits: pages 100 to 124 inclusive. So the book has 124 pages. Pages 1 - 9: 9 digits Pages 10 - 99: 180 digits. Pages 100 - 124: 75 digits. Total: 264 digits.
How many strings of 3 decimal digits do not contain the same 3 digits?
How many strings of three digits are there? 000 to 999, or a total of 1000. How many strings of three digits contain the same three digits? That's 000, 111, 222 ... 999! ten in total. The difference is your answer: 1000-10 = 990.
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Visa cards start with digital "4" and have a total of 16 digits Mustard's also contain a total of 16 digits but start with digital "51","52
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What is the meaning of the first 2 digits?
Depends on what they are, and how many total digits.
