Final answer:
Correct application of the rules of significant figures and units is crucial for calculations. Results are rounded to match the number of significant figures of the least precise number used in the calculations. It is also important to use the correct equation and ensure all units are consistent.
Step-by-step explanation:
The student's question pertains to rounding numbers to the correct number of significant figures and performing arithmetic operations with proper units and significant figures. When performing calculations, it is essential to adhere to the rules of significant figures and maintain units consistent throughout the calculation.
Check Your Learning
To round the following to the indicated number of significant figures:
- (a) 0.424 rounded to two significant figures would be 0.42.
- (b) 0.0038661 rounded to three significant figures would be 0.00387.
- (c) 421.25 rounded to four significant figures would be 421.3.
- (d) 28,683.5 rounded to five significant figures would be 28,684.
Step 2: Calculate.
When multiplying and adding, follow the rule of least significant figures:
- A. 0.048 m × 32.97 m = 1.58176 m² rounded to two significant figures becomes 1.6 m².
- B. 14,570 kg + 5.81 L = The sum is inappropriate because these are not like units and cannot be directly added.
Additionally, for solving problems with equations:
- Identify the correct equation to use in your calculation.
- Make sure that all values are in the correct units before substituting them into the equation.
- Calculate the answer and double-check that your final answer has the proper units and significant figures.