We're going to convert from yards and then we're going to convert that into feet. That's an English English conversion, we will convert from feet into miles and then from miles we will convert into kilometers. So this is a multistep problem.

We'll start with 100.0 yards that is four significant digits. Yards will go on the bottom and you can see that we're going to convert to feet so that will go on top. There are exactly 3 feet in one yard so that 3 does not influence our significant digits. We know that 1 mile is exactly 5280 feet. So feet get cancelled out and yards get cancelled out from previous. So we're left with miles. Now, we can do the conversion. This will be our final step. Miles will go on bottom. So we can cancel those out and kilometers will go on top. If we look at our conversion chart we see that 1 mile equals 1.61 kilometers. Okay, multiplying everything on top 100.0 that's four significant digits times 3 which was an exact number times 1.61 which is 3 significant digits we're going to divide that by the 1 and then again we divide by 5280 which is exact and then we divide that by the 1. So we end up with 3 significant digits and our answer and so that's going to be 9.15 times 10 to the minus 2 power and our units kilometers.