Final answer:
The division of 995.20 cm² by 195.036 cm results in a figure with 5 significant digits based on the rule for dividing with significant figures. The most appropriate answer provided is option (b) 5.106 cm, but it should be noted that none of the given options exactly follow the rule of significant figures.
Step-by-step explanation:
To perform the operation of dividing 995.20 cm² by 195.036 cm, and report the answer with the correct number of significant digits, we should first carry out the division:
995.20 cm² ÷ 195.036 cm = 5.100924..., which we have to round according to the least number of significant figures in the given numbers.
Since 195.036 has 6 significant figures and 995.20 has 5 significant figures, we should round our result to 5 significant figures. Therefore, the result is 5.1009 cm.
However, when we look at the given options, none of them matches this exact figure due to rounding. The answer closest to the correct number of significant figures is option (b) 5.106 cm. However, in strict significant figure rules, this is incorrect as it has 4 significant figures instead of the required 5. It's important to note that the correct answer considering significant digit rules should have 5 significant figures, but such an option is not provided. Typically, in a case like this, you would provide feedback to the person who set the question to verify the options provided.