Question

Using words, explain all steps of dimensional analysis when converting 6.7 hectometers to meters. You must explain the set up of the problem and give your final answer.
A minimum of 4 complete sentences are REQUIRED.

Answer 1

Answer:

• See below

Explanation:

In order to convert 6.7 hectometers to meters using dimensional analysis, you must use the ratio of hectometers to meters.

There are 100 meters in one hectometer, then you start setting the equality: 100 m = 1 hm.

Dividing both sides by 1 hm you get the fraction form of the ratio, with meters (m) in the numerator and hectometers (hm) in the denominator.

              $1m/100hm$

Since hm is in the numerator, when you multiply 6.7 hm by the unit ratio the hm will be canceled and the result will have only m:

            $6.7hm\times 1m/100hm=0.067m$