The Formula for Finding Micrometers

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The formula for finding micrometers will vary depending on which information you already have. Find out about the formula for finding micrometers with help from an experienced mathematics educator in this free video clip.

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Video Transcript

Hello, my name is Walter Unglaub, and this is the formula for finding micrometers. So we start with the definition of a micrometer, 1 micrometer or micrometer which is denoted by this letter mu, Greek letter, is equal to 1 times 10 to the minus 6 meters. So if I want to find the relationship between 1 meter in terms of micrometers then I simply take the inverse of both sides and then move the units around so I have 1 meter is going to be equal to 1 times 10 to the 6 micrometers or to use a more concise form of scientific notation, 1E6 micrometers. So as an example, if I have a measurement, say a length of 300 meters, this is equal to 3 times 10 to the 2 meters which is equal to 3E2 meters and let's say I want to convert this distance into micrometers, I would simply use this conversion factor right here and I would multiply by 1 times 10 to the 6 micrometers because that's how many micrometers there are in 1 meter. The units of meters cancel out and I'm left with 3 times 1 which is 3E 2 plus 6 which is 8 micrometers and this is finally simply equal to 3 times 10 to the 8 micrometers. My name is Walter Unglaub and this is the formula for finding micrometers.

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