If, in a parallel universe, π has the value 3.14149, express π in that universe to four significant figures.Group of answer choices3.1413.1423.14153.1414
Question
If, in a parallel universe, π has the value 3.14149, express π in that universe to four significant figures.
Group of answer choices
3.1414
3.142
3.1415
3.1413
Solution
Break Down the Problem
- Identify the given value of π in the parallel universe: .
- Determine how to express this value to four significant figures.
Relevant Concepts
- Significant Figures: Significant figures refer to the digits that carry meaning contributing to its precision. The number of significant figures of a number includes all non-zero digits, any zeros between significant digits, and any trailing zeros in the decimal portion.
Analysis and Detail
- The given value is .
- To express this number to four significant figures, we identify the first four digits:
- The first four digits are .
- The fifth digit is , which means we need to round the fourth digit:
- Since the fifth digit is greater than 4, we round up.
Verify and Summarize
- Rounding considers the fourth digit and rounds up due to the fifth digit , resulting in .
Final Answer
The value of π in that universe to four significant figures is .
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