Number of significant figures in 3.700 are

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  1. 1
  2. 4
  3. 2
  4. 3

Answer (Detailed Solution Below)

Option 2 : 4
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The correct answer is 4.

Key Points

  • The number 3.700 has four significant figures.
  • Significant figures include all non-zero digits, any zeros between significant digits, and any trailing zeros in the decimal portion.
  • In 3.700, all the digits (3, 7, 0, 0) are significant.
  • Trailing zeros in the decimal part are considered significant because they indicate the precision of the measurement.

Additional Information

  • Significant Figures
    • Significant figures are the digits in a number that contribute to its precision.
    • The rules for determining significant figures help in accurately representing the precision of a measurement.
    • All non-zero numbers (1-9) are always significant.
    • Any zeros between significant digits are significant.
    • Leading zeros are not significant, while trailing zeros in the decimal portion are significant.
  • Rounding Significant Figures
    • When rounding a number, keep as many significant figures as are required.
    • In rounding, if the digit immediately to the right of the last significant digit is greater than or equal to 5, round up.
    • If it's less than 5, retain the last significant digit and drop the rest.
  • Precision and Accuracy
    • Precision refers to the consistency of repeated measurements, while accuracy refers to how close a measurement is to the true value.
    • Significant figures are a way to communicate the precision of a measurement.
    • Higher precision means more significant figures.
  • Applications
    • Significant figures are essential in scientific calculations to ensure that results are not overrepresented.
    • They help in maintaining the integrity and accuracy of data in fields such as chemistry, physics, and engineering.
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