### Problem 1.7 conversion of meters to nanometers

Posted:

**Wed Oct 17, 2018 9:35 pm**So on problem 1.7, I'm confused on how they converted the final answer of 4.2x10^-7 to 420 nm. because nm is 10-9 . can someone please help. thank you

Created by Dr. Laurence Lavelle

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https://lavelle.chem.ucla.edu/forum/viewtopic.php?f=14&t=34074

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Posted: **Wed Oct 17, 2018 9:35 pm**

So on problem 1.7, I'm confused on how they converted the final answer of 4.2x10^-7 to 420 nm. because nm is 10-9 . can someone please help. thank you

Posted: **Wed Oct 17, 2018 9:46 pm**

1 m = 1 x 10^9 nm and conversely 1 nm = 1 x 10^-9 m.

So, 4.2 x 10^-7 m converted to nm will be 4.2 x 10^-7 x 10^9 nm which is just 420 nm after the powers cancel out.

Hope this helps!

So, 4.2 x 10^-7 m converted to nm will be 4.2 x 10^-7 x 10^9 nm which is just 420 nm after the powers cancel out.

Hope this helps!

Posted: **Wed Oct 17, 2018 9:54 pm**

If you want to convert meters to nanometers all you have to do is take the given meter and multiply it by 1nm/10^-9 m, so that way you can cancel out the meters and are left over with nanometers.

Example:

(7.10 x 10^-7 m) x (1nm/10^-9m)

Example:

(7.10 x 10^-7 m) x (1nm/10^-9m)