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3.00 x 10^8 / 6.50 x 10^-7

4.61 x 10^14

my question is how 10^8 / 10^-7 = 10^14?

thank u

Guest Nov 21, 2014

Best Answer 

 #1
avatar+93289 
+5

3.00 x 10^8 / 6.50 x 10^-7

4.61 x 10^14

my question is how 10^8 / 10^-7 = 10^14?      IT DOES NOT!

 

$$\\(3\times 10^8)/(6.5\times 10^{-7})\\\\
=(3/6.5)\times 10^8/10^{-7}\\\\
=0.4615\times 10^{8--7}\\\\
=0.4615\times 10^{15}\\\\$$

 

BUT this answer is to be in scientific notation so there mus be just one non-zero number in front of the point

 

$$\\=4.4615\times 10^{-1} \times 10^{15}\\\\
=4.4615\times 10^{14}\qquad \mbox{Correct to 4 significant figures}\\\\$$

 

So does that all make sense now?

Melody  Nov 21, 2014
 #1
avatar+93289 
+5
Best Answer

3.00 x 10^8 / 6.50 x 10^-7

4.61 x 10^14

my question is how 10^8 / 10^-7 = 10^14?      IT DOES NOT!

 

$$\\(3\times 10^8)/(6.5\times 10^{-7})\\\\
=(3/6.5)\times 10^8/10^{-7}\\\\
=0.4615\times 10^{8--7}\\\\
=0.4615\times 10^{15}\\\\$$

 

BUT this answer is to be in scientific notation so there mus be just one non-zero number in front of the point

 

$$\\=4.4615\times 10^{-1} \times 10^{15}\\\\
=4.4615\times 10^{14}\qquad \mbox{Correct to 4 significant figures}\\\\$$

 

So does that all make sense now?

Melody  Nov 21, 2014
 #2
avatar+93289 
0

That was a good question anon 

Melody  Nov 21, 2014

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