Questions: Determine which of the two numbers in each pair of approximate numbers is (a) more precise and (b) more accurate.
0.8 ; 97.0
Which of the two numbers is more precise?
Which of the two numbers is more accurate?
Transcript text: Determine which of the two numbers in each pair of approximate numbers is (a) more precise and (b) more accurate.
\[
0.8 ; 97.0
\]
Which of the two numbers is more precise?
Which of the two numbers is more accurate?
Solution
Solution Steps
Step 1: Understanding Precision and Accuracy
Precision refers to the level of detail in a measurement, often indicated by the number of significant digits or decimal places. Accuracy refers to how close a measurement is to the true or accepted value.
Step 2: Analyzing Precision
The number \(0.8\) has 1 significant digit.
The number \(97.0\) has 3 significant digits (the trailing zero indicates precision).
Since \(97.0\) has more significant digits, it is more precise than \(0.8\).
Step 3: Analyzing Accuracy
Accuracy depends on the true value, which is not provided in the question. However, since no additional information is given, we assume both numbers are equally accurate unless stated otherwise.
Final Answer
More precise: \(97.0\)
More accurate: The numbers have the same accuracy.
\\(\boxed{\text{More precise: } 97.0, \text{ More accurate: The numbers have the same accuracy.}}\\)