- Solutions 16

Carry out the following conversion: (a) 0.105 in. to mm

Okay guys, so in this question we want to convert 0.105 inches to millimeters. So the way you go from inches to millimeters is that we know there's a connection between inches and centimeters, and then from centimeters we could convert to millimeters easily. So we have 0.105 inches and we know that for every 1 inch we have 2.54 centimeters. We put inches on the bottom because we want to cancel out the units, to go from centimeters to millimeters we first need to go to the base unit. So we want to go to the base unit of meters, so we want to go from centimeters to meters, centimeters goes on the bottom so we can cancel out centimeters with centimeters.

What is place wherever there's a prefix and we know centi is going to be 10 to the negative 2. Now we can convert from meters to millimeters, meters gets placed on the bottom to cancel it out, 1 is wherever there's a prefix and milli is 10 to the negative 3. Now, all you have to do is multiply everything on the top and divide by everything on the bottom and your answer should be 2.67 millimeters. We know that the units are correct because after canceling everything else out we're left with the units of millimeters. Alright, see you guys soon.