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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

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Solution

Break Down the Problem

  1. Identify the given value of π in the parallel universe: 3.141493.14149.
  2. Determine how to express this value to four significant figures.

Relevant Concepts

  1. 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

  1. The given value is 3.141493.14149.
  2. To express this number to four significant figures, we identify the first four digits:
    • The first four digits are 3.1413.141.
  3. The fifth digit is 44, which means we need to round the fourth digit:
    • Since the fifth digit is greater than 4, we round up.

Verify and Summarize

  1. Rounding 3.14143.1414 considers the fourth digit 44 and rounds up due to the fifth digit 44, resulting in 3.14153.1415.

Final Answer

The value of π in that universe to four significant figures is 3.14153.1415.

This problem has been solved

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