- Concept Videos
- Solutions 34

Convert:

d. 815 yd to km

Hey guys, in this video we're going to work with converting units of length so what they give us is 815 yards and we're asked to change that into kilometers so we have to establish some conversion factors that will help us connect yards to kilometers so here we're going to say that here that if we want to talk about yards and kilometers we can first talk about meters, we can say that 1 meter is equal to 1.094 yards and remember it's important to realize that if we can get to meters that's a good thing because if we have meters we can change meters into kilometers because remember 1 kilo so 1 kilometer is equal to 10^3 meters so those are our 2 conversion factors we're going to use so the steps here will be convert yards into meters and then meters into kilometers so we'll start out with the yards first, we have 815 yards we need to get rid of yards so yard goes on the bottom meters go on top, 1 meter is equal to 1.094 yards, yards cancel out and now we have meters and then all we have to do now is just change meters into kilometers so meters goes on the bottom kilometers go on top 1 kilo is 10^3 so meters cancel out and now we have kilometers so when we work this out we get 0.744973 kilometers but 815 yards has 3 significant figures in it so our answer at the end has 3 significant figures so here we're looking at this portion here to the right of 4 there's a 9 here which means that this 4 gets rounded up to 5 so our answer again will be 0.745 kilometers so that's how we have to set it up in order to do these unit conversions in terms of length.