Question

Convert 8.41 μm to inches.

Answer 1

μ means micro, which is a factor of 10^(-6) or one millionth.

Answer 2

I'm guessing converting the centimeters into inches would be easier, so let's conver that ti centimeters first.

Answer 3

I mean micrometers

Answer 4

1 inch =2.54 but where do i take it from there

Answer 5

*to centimeters first.
So 1inch = 2.54cm
1cm is 100th of a meter, so to find what 1μm is in cm, we just need to divide it by 10,000

Answer 6

(We know that 1μm is 1 millionth, or 1,000,000th of a meter, and that 1cm is 1 hundredth, or 100th of a meter. We need to divide by 1,000,000/100 = 10,000)

Answer 7

8.41μm = 8.41/10,000 cm = 0.000841cm

Answer 8

0.000331102362205 Inches

Answer 9

Thank you for explaining it.

Answer 10

And since 1 inch is 2.54cm:
\[0.000841cm =0.000841cm*\frac{1in}{2.54cm}=\]

Answer 11

Notice that the units cancel out, and all you end up with are inches. And we can multiply by
\[\frac{1in}{2.54cm}\]as that is equivalent to 1, since 1in = 2.54cm

Answer 12

And you end up with 3.311023*10^(-4) inches

Answer 13

A quick shortcut to check your work is this:
https://www.google.com/search?q=μ+micro&oq=μ+micro&aqs=chrome..69i57j0l5.2225j0j7&sourceid=chrome&espv=210&es_sm=93&ie=UTF-8#q=8.41+micrometers+in+inches