- Concept Videos
- Solutions 34

Complete the table:

a. 1245 kg 1.245 X .10 ^{6} g 1.245 X 10 ^{9} mg

Hey guys, in this new video we're going to take a look at how do we change one metric prefix to either base unit or to new metric prefix so here we're given 1245 kilograms and we're asked to basically change kilograms into grams but we're also asked to change kilograms into milligrams. Now they've already given us the answer here but we're going to walk through it and see how exactly did they do this so let's first do kilograms to grams, now remember here that kilograms represents our metric prefix and grams is just a base, now you go from the metric prefix to the base in one step so we're going to say we have 1245 kilograms we want to get rid of kilograms so kilograms go on the bottom, we need grams so it goes on the top remember 1 is associated with the metric prefix so 1 kilo is 10^3 when we plug this into our calculator it gives us 1.245x10^6 grams.

Now for the next one we have to go from kilograms and find milligrams but what we need to realize here is that this is a metric prefix kilo and this is also a new metric prefix milli, here we're not going to go straight from one metric prefix to the new one we first have to go through the base so we're going to go kilograms to grams and then from grams to milligrams so we're going to have 1245 kilograms got to get rid of kilograms so it goes on the bottom and grams go on the top, 1 is associated with the metric prefix so 1 kilo is 10^3 kilograms cancel out so now what we have is grams, next step we have to change grams to milligrams, grams go on the bottom milligrams go on the top remember 1 is associated with the metric prefix so one milli is 10^-3 so when we plug this into your calculator you should get 1.245x10^9 milligrams. So, this is the approach you need to take, remember we go straight from the metric prefix to the new base in one step but going from one metric prefix to another we first have to pass through a base unit.