# Unit Conversion Review Examples: cm to um, mm to nm, pm to gm,

pm to mm
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in this video we are just going to do an overview of unit conversions now in your chemistry textbook you probably seen these energy for terrorists 10 to the 12 Giga 10 to 970 10 to minus 2 and so forth but lets talk about how to use it so Giga is 10 to 9 foot when youre using it to convert from one unit to another we need to use it like this 1 Giga meter is 1 times 10 to the 9 meters on the right side its always with the base unit on the left side youre always going to have a 1 so for example 1 kilometer is equal to 1 times 10 to the 3 or a thousand meters the base unit is always on the right side so another example one centimeter is equal to one times 10 to the minus 2 meters and one micrometer which is it has this symbol is 1 times 10 to the minus 6 meters so hopefully you get the point all right so now were going to look at a few examples but feel free to you know we want if you have to look at these numbers again Im going to erase the screen so lets say if we want to convert from centimeters to micrometers first convert centimeters to the base unit meters and then to micrometers so lets say if we have a point zero zero one five centimeters now because we have centimeters on the top left we need to put that unit on the bottom right so that these units will cancel and were going to have meters here now according to the chart we recognize that one centimeter is equal to one times 10 to the minus 2 meters so keep in mind the one is a always, 12s with the prefix centi milli micro always put on one next to that a unit next we can convert meters into micrometers so because meters is on the top left were going to put on the bottom right so that those units will cancel and micrometers put it on the top so for every one micrometer thats the has a prefix micro there are 1 times 10 to the minus 6 meters now lets go ahead and find out what this result is equal to the numbers on top you multiply so its point 0 0 1 5 times 1 times 10 to minus 2 and then divide by the number thats on the bottom 1 times 10 to minus 6 you should get 15 micrometers Im for some of you if youre not going to write answer make sure you put this term in parentheses because your calculator might divide by one and then multiply by 10 to the minus 6 lets try another example lets convert millimeters to nanometers lets say if we have 750 millimeters so first were going to convert it to the base unit meters and then to nanometers we have millimeters on the top so we need to put it on the bottom so that those units will cancel and meters are go on top so for every one millimeter there are we know milli represents 10 to the minus 3 so 1 times 10 to the minus 3 meters that does not look like a 3 all right there we go all right next we need to convert meters into nanometers so meat is going limit oh excuse me meters is going to go on the bottom and were going to put nanometers on the top so for every one nanometer there are 10 to the minus 9 meters these units cancel and now we can find out what the answer is so 750 times 1 times 10 to the monastry divided by 1 times 10 to the minus 9 and you should get an a very large number 750 million which is in scientific notation 7.5 times lets see this is three six seven eight seven point five times ten to the eighth nanometers for the sake of practice lets try one more example lets say if we want to convert Pico meters to Giga meters and I wrote Giga grams there we go Giga meters so lets say if we have one times 10 to the 15 Pico meters so were going to put the unit Pico meters here and then meters here remember were going to convert people meters first to meters the base unit and then meters two Giga meters if were going to use the prefixes that we had at the beginning now Pico represents 10 to the minus 12 so for every 1 picometer there are 10 to minus 12 meters see how that works all right so the units equal meters cancel its always good to put the units first now we want to convert meters to Giga meters so were going to put meters on the bottom so that these units across out and for every one Giga meter there are Giga is 10 to the 9 so there are 1 times 10 to the positive 9 meters so were going to multiply the numbers on top and then divide by the number thats on the bottom so 1 times 10 to 15 times 1 times 10 to the minus 12 divided by 1 times 10 to the minus 10 to the positive Im actually so you should get 1 times 10 to the negative 6 now lets say if you didnt have a calculator and you want to find out what this result was equal to is what we could do you see this 10 – month if you move it to the top the exponent will change from positive to negative 9 so you have 10 to the 15 times 10 to the minus 12 times 10 to the minus 9 if you add these exponents 15 plus negative 12 plus negative 9 thats 15 plus negative 21 youre going to get negative 6 or 10 to negative 6 so you can do this without a calculator if you want so thats it hopefully you found this reviews to be helpful and thats how you can use it to convert from one unit to another tags:
centimeters to micrometers, cm to um, millimeters to nanometers, mm to nm, picometers to gigameters, pm to gm, unit conversion review, dimensional analysis p…
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