Final answer:
The correct steps in dimensional analysis involve multiplying the original measurement by the conversion factors, followed by checking for the reasonableness of the result.
Step-by-step explanation:
The correct steps to complete the list for performing dimensional analysis are to multiply the original measure by the conversion factors and to check for reasonableness. When dealing with unit conversions, we use ratios, or conversion factors, to transform a quantity expressed in one unit to another unit. These conversion factors are constructed based on the relationship between different units—for example, 1 meter = 100 centimeters. To execute a conversion, we would multiply the given quantity by the conversion factor that cancels out the original unit and introduces the desired unit.
In the context of the given question, the correct steps are therefore:
- Multiply the original measure by the conversion factor.
- Check for reasonableness.
After multiplying, it's vital to ensure the result makes sense in the context of the problem—hence the importance of checking for reasonableness. In summary, the correct answer to the question is option c: 'Multiply the original measure by the conversion factors. Check for reasonableness.'