Final answer:
The result of 1.58 divided by 3.793, when rounded to the correct number of significant figures, is 0.417.
Step-by-step explanation:
When calculating 1.58 divided by 3.793 and expressing the answer with the correct number of significant figures, it's important to look at the number of significant figures in both of the numbers we are dividing. The number 1.58 has three significant figures, and the number 3.793 has four significant figures. In division, the rule is that the final answer should be expressed with the same number of significant figures as the number with the least amount of significant figures used in the calculation.
The result of the division is 0.4165877..., but when rounded to three significant figures, the answer is 0.417. This is because we must express our answer with only three significant figures as dictated by the least number of significant figures present in the math problem (which is from 1.58).