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Convert a distance of 365 cm to inches, given that 2.54 cm = 1 in.

A. 0.00696 in
B. 927 in
C. 144 in
D. 150. in
E. 52,560 in

User Curline
by
8.1k points

1 Answer

4 votes

Answer:

C. 144 inches

Explanation:

This is a unit-conversion question, where you're converting one unit to another, given that you know how the two units relate to each other.

I could tell you exactly what to do (which is divide something by something else), but you might not remember it because you don't understand WHY you do that.

So let's talk for a minute about what's physically going on here.

What you know (because you're given it) is that there are 2.54 cm inside every inch, right? So if you were asked to convert 2.54 cm to inches, what would the answer be? 1 inch, right? But how do you get that? You DIVIDE the number of centimeters you were given by the number of centimeters that make up 1 inch.

What if you were given 5.08 cm? Divide by 2.54 cm per inch to get 2 inches.

Notice how the centimeters cancel out: that's super-important, because that's what you want. You want to divide or multiply the terms so that you end up with the units you want.

Do you know how like-terms cancel out of fractions if they show up in the top AND the bottom? Well, units work the same way. So if I divide centimeters by centimeters per inch, it looks like this:


(cm)/(cm/inch)

The centimeters cancel out, and you're left with inches, which move to the top.

Now apply that to this specific example:


(365 cm)/(2.54 cm/inch) = 365/2.54 inch = 143.7 inch --> round to 144"

User Jaspal Singh
by
7.8k points
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