Do the following calculation and express the answer using the correct number of significant figures. __ = (342) x (0.0012) ÷ 100.0
The Correct Answer and Explanation is :
The calculation:
[
(342) \times (0.0012) \div 100.0
]
Step 1: Multiply 342 by 0.0012
[
342 \times 0.0012 = 0.4104
]
Step 2: Divide by 100.0
[
0.4104 \div 100.0 = 0.004104
]
Significant Figures:
- 342 has 3 significant figures.
- 0.0012 has 2 significant figures.
- 100.0 has 4 significant figures.
- The final result must be rounded to 2 significant figures, as the least number of significant figures in the given numbers is 2.
Final Answer:
[
0.0041
]
Explanation:
- Significant Figures Importance: Significant figures indicate the precision of a measured value. In multiplication and division, the result should have the same number of significant figures as the least precise number in the operation.
- Rounding the Answer: Since 0.004104 has 4 significant figures, rounding to 2 significant figures gives 0.0041.
- Why 2 Significant Figures?: The least precise number in the calculation is 0.0012, which has 2 significant figures. Therefore, the final result must also have 2 significant figures.
Now, I will generate an image to illustrate this calculation visually.
Here is the generated image illustrating the calculation and the concept of significant figures. Let me know if you need any modifications or further explanations!
