Final answer:
To convert 33.64 miles to kilometers, multiply by the conversion factor, 1.61 kilometers/mile, resulting in 54.1594 kilometers. After rounding to three significant figures, which are present in both original values, the final answer is 54.2 kilometers.
Step-by-step explanation:
The student has asked how to convert 33.64 miles to kilometers, which is a mathematics problem involving unit conversion. To do this, we'll use the conversion factor where 1 mile is equivalent to 1.61 kilometers.
Multiplying 33.64 miles by 1.61 kilometers/mile gives us the answer in kilometers.
33.64 miles × 1.61 kilometers/mile = 54.1594 kilometers.
Checking the significant figures, since 33.64 miles has four significant figures and 1.61 conversion factor also has three significant figures, the answer should be reported with the least number of significant figures in the given numbers, which is three.
Therefore, we round the answer to three significant figures, resulting in 54.2 kilometers.