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A human hair was measured to be 8.0×10−4 inch thick. A cat hair was measured to be 4.0×10−1 inch thick. How much greater is the thickness of the cat hair than the human hair? Write the answer in standard form

 May 18, 2015

Best Answer 

 #1
avatar+23247 
+5

Human hair:  8.0 x 10-4  =  0.00080

Cat hair:        4.0 x 10-1  =  0.40

Subtracting:   0.40  -  0.00080  =  0.3992

Using rules of precision, the answer becomes 0.40

 May 19, 2015
 #1
avatar+23247 
+5
Best Answer

Human hair:  8.0 x 10-4  =  0.00080

Cat hair:        4.0 x 10-1  =  0.40

Subtracting:   0.40  -  0.00080  =  0.3992

Using rules of precision, the answer becomes 0.40

geno3141 May 19, 2015
 #2
avatar+118613 
0

Geno's interpretation is valid but I interpreted it differently.

 

$$\\(4.0*10^{-1}) \div (8.0*10^{-4} )\\\\
=\frac{(4.0*10^{-1}) }{ (8.0*10^{-4} )}\\\\
=\frac{4}{ 8}*\frac{10^{-1} }{ 10^{-4} }\\\\
=\frac{1}{ 2}*10^{-1--4} \\\\
=0.5*10^{3} \\\\
=500 \\\\$$

 

The cat hair is 500 times thicker than the human hair  :)   

That sounds like an awful lot - That cat sure have fat hairs!

 May 19, 2015

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