Answer:
A page from a story book is thicker. It is thicker by
.
Step-by-step explanation:
Given:
Thickness of a page from story book = ![2.5\times 10^{-2}\textrm{ cm}](https://tex.z-dn.net/?f=2.5%5Ctimes%2010%5E%7B-2%7D%5Ctextrm%7B%20cm%7D)
Thickness of a page from a dictionary = ![5\times 10^{-3}\textrm{ cm}](https://tex.z-dn.net/?f=5%5Ctimes%2010%5E%7B-3%7D%5Ctextrm%7B%20cm%7D)
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.
![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}](https://tex.z-dn.net/?f=5%5Ctimes%2010%5E%7B-3%7D%3D5%5Ctimes%2010%5E%7B-2-1%7D%3D5%5Ctimes%2010%5E%7B-2%7D%5Ctimes%2010%5E%7B-1%7D%3D5%5Ctimes%2010%5E%7B-2%7D%5Ctimes%20%5Cfrac%7B1%7D%7B10%7D%3D%5Cfrac%7B5%7D%7B10%7D%5Ctimes%2010%5E%7B-2%7D%3D0.5%5Ctimes%2010%5E%7B-2%7D%5Ctextrm%7B%20cm%7D)
Now, thickness of a page from dictionary is
while thickness from story book's page is
.
Clearly, a page from story book is thicker as 2.5 is greater than 0.5.
Now, difference in thickness is:
![=(2.5\times 10^{-2})-(0.5\times 10^{-2})\\=(2.5-0.5)\times 10^{-2}=2.0\times 10^{-2}\textrm{ cm}](https://tex.z-dn.net/?f=%3D%282.5%5Ctimes%2010%5E%7B-2%7D%29-%280.5%5Ctimes%2010%5E%7B-2%7D%29%5C%5C%3D%282.5-0.5%29%5Ctimes%2010%5E%7B-2%7D%3D2.0%5Ctimes%2010%5E%7B-2%7D%5Ctextrm%7B%20cm%7D)
Therefore, a page from story book is thicker than a page from dictionary by a difference of
.