50. What is the result of the following calculation with the correct number of significant figures: 2.85 × 0.0145? - Sindh Board (stb)

                                

EXPLANATION

Question: What is the result of the following calculation with the correct number of significant figures: 2.85 × 0.0145?

• a) 0.0413
• b) 0.07944
• c) 0.04135
• d) 0.041

ANSWER: a)  0.0413

EXPLANATION:

To determine the result of the calculation with the correct number of significant figures, we need to consider the significant figures in both numbers and apply the rules for multiplication. The first number, 2.85, has three significant figures. The second number, 0.0145, has three significant figures. When multiplying, the rule for significant figures states that the result should have the same number of significant figures as the factor with the fewest significant figures. In this case, both numbers have three significant figures, so the result should also have three significant figures. Performing the multiplication: 2.85 × 0.0145 = 0.041325. Rounding the result to three significant figures gives us: 0.0413. Therefore, the correct answer is option a) 0.0413.