Respuesta :
Answer:
A page from a story book is thicker. It is thicker by [tex]2\times 10^{-2}\textrm{ cm}[/tex].
Step-by-step explanation:
Given:
Thickness of a page from story book = [tex]2.5\times 10^{-2}\textrm{ cm}[/tex]
Thickness of a page from a dictionary = [tex]5\times 10^{-3}\textrm{ cm}[/tex]
Now, in order to compare the thickness of both the pages, we have to rewrite their measurements in same exponents of 10.
Exponent of 10 for story book is -2 and exponent of 10 for dictionary is -3.
Let us rewrite the measurement of page from dictionary.
[tex]5\times 10^{-3}=5\times 10^{-2-1}=5\times 10^{-2}\times 10^{-1}=5\times 10^{-2}\times \frac{1}{10}=\frac{5}{10}\times 10^{-2}=0.5\times 10^{-2}\textrm{ cm}[/tex]
Now, thickness of a page from dictionary is [tex]0.5\times 10^{-2}\textrm{ cm}[/tex] while thickness from story book's page is [tex]2.5\times 10^{-2}\textrm{ cm}[/tex].
Clearly, a page from story book is thicker as 2.5 is greater than 0.5.
Now, difference in thickness is:
[tex]=(2.5\times 10^{-2})-(0.5\times 10^{-2})\\=(2.5-0.5)\times 10^{-2}=2.0\times 10^{-2}\textrm{ cm}[/tex]
Therefore, a page from story book is thicker than a page from dictionary by a difference of [tex]2\times 10^{-2}\textrm{ cm}[/tex].
