+0  
 
0
408
2
avatar

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+92206 
+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
Sort: 

2+0 Answers

 #1
avatar+92206 
+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+92206 
0

That was a good question anon 

Melody  Nov 21, 2014

16 Online Users

avatar
avatar
avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details