The thickness of a book is 3.2cm, measured between the insides of it cover. The highest page in the book is 1,096. What order of magnitude estimate does that give the thickness of a page of the book?
there are two pages per sheet of paper (front and back)
so
548 sheets of paper = 3.2 cm
so
3.2/548
about 6/1000 = .006
or .01 cm
To find the order of magnitude estimate for the thickness of a page in the book, we need to compare the thickness of the entire book to the number of pages it contains.
Given that the thickness of the book is 3.2 cm, we can assume that the pages contribute most of the overall thickness, and the covers and binding are relatively thin. Therefore, we can approximate the thickness of a single page as the total book thickness divided by the number of pages.
To find the number of pages, we are told that the highest page in the book is 1,096. However, we need to account for both sides of the page (front and back) since both contribute to the total thickness. Therefore, the number of pages in the book is 1,096 multiplied by 2.
Let's calculate the thickness of a single page:
Number of pages = 2 * 1,096 = 2,192 pages
Thickness of a single page = Book thickness / Number of pages
= 3.2 cm / 2,192 pages
Calculating this division will give us the thickness of a single page.