Final answer:
The product of 1.58 and 0.03, applying the rule for significant figures, is 0.047.
Step-by-step explanation:
When multiplying or dividing numbers with significant figures, the result should be rounded to the same number of significant figures as the number with the fewest significant figures.
In this case, the number 0.03 has two significant figures, while 1.58 has three significant figures. To find the product, multiply 1.58 by 0.03, which equals 0.0474. Since 0.03 has the fewest significant figures (two), the final answer should also have two significant figures. Therefore, the correct answer is 0.047 (c).