1.3 Measures and Accuracy

    Cards (50)

    • **Decimal places** refer to the number of digits that appear after the decimal point in a number.

      True
    • Significant figures indicate the precision of a measurement, while decimal places indicate the position of the decimal
    • Steps to round a measurement to significant figures:
      1️⃣ Identify the required number of significant figures
      2️⃣ Count from the first non-zero digit
      3️⃣ Examine the digit to the right
      4️⃣ Round up if 5 or greater
    • Why is it important to use the correct number of significant figures?
      Avoid over-precision
    • When rounding to significant figures, round down if the next digit is 4 or less.

      True
    • Rounding to decimal places reduces the number of digits after the decimal point.

      True
    • What is involved in rounding measurements to decimal places?
      Reducing digits after decimal
    • What is 3.14159 rounded to 2 decimal places?
      3.14
    • What does an error interval represent in measurements?
      True value range
    • What is the absolute error in a measurement if the measured value is 12.5 cm and the true value is 12.0 cm?
      0.5 cm
    • Leading zeros are not counted as significant figures but are included in counting the number of decimal places
    • Steps for rounding measurements to significant figures
      1️⃣ Identify the required number of significant figures
      2️⃣ Count from the first non-zero digit
      3️⃣ Examine the digit to the right of the last significant figure
      4️⃣ Round up if the digit is 5 or greater
      5️⃣ Drop any remaining digits
    • Leading zeros are counted as significant figures.
      False
    • 0.002567 rounded to 2 significant figures is 0.0026
    • Match the concept with its definition:
      Tolerance ↔️ Acceptable range of values
      Error Interval ↔️ Range containing true value
    • A percentage error of 4.17% indicates the measurement has good accuracy.

      True
    • Percentage error measures how accurate a measurement is compared to the true value.

      True
    • What do significant figures indicate about a measurement?
      Precision
    • A number with 0.0045 has 2 significant figures.

      True
    • When rounding 12345 to 3 significant figures, the rounded result is 12300
    • What does the number of decimal places in a measurement indicate?
      Position of decimal point
    • When rounding 4.567 to 3 significant figures, the rounded result is 4.57
    • Steps to round a measurement to decimal places:
      1️⃣ Identify the decimal place to round to
      2️⃣ Examine the digit immediately to the right
      3️⃣ Round up if 5 or greater
      4️⃣ Keep as is if less than 5
    • The first step in rounding measurements to decimal places is to identify the decimal place to round to
    • A tolerance in measurements refers to the acceptable range of values
    • The formula for calculating percentage error is: Percentage error=Percentage\ error =Absolute errorTrue value×100 \frac{Absolute\ error}{True\ value} \times 100, where the true value is the denominator and 100 is used to express the result as a percentage
    • A percentage error of 4.17% indicates that the measured value is approximately 4% different from the true value.

      True
    • What is the first step in rounding a measurement to significant figures?
      Identify significant figures
    • What is 12345 rounded to 3 significant figures?
      12300
    • 0.002567 rounded to 2 significant figures is 0.0026
    • When rounding to decimal places, if the next digit is 5 or greater, you round up the last decimal place digit.
      True
    • A tolerance of 10 cm ± 0.5 cm means acceptable measurements range from 9.5 cm to 10.5
    • Match the term with its meaning:
      Significant Figures ↔️ Precision of measurement
      Decimal Places ↔️ Position of decimal point
    • Significant figures refer to the meaningful digits in a number, including the first non-zero digit
    • Which digits are included when counting significant figures?
      All non-zero digits
    • A number with 0.0045 has 4 decimal places.

      True
    • When rounding 0.002567 to 2 significant figures, the rounded result is 0.0026
    • Significant figures include leading zeros in a number.
      False
    • When rounding 0.00456 to 2 significant figures, the rounded result is 0.0046
    • When rounding 3.14159 to 2 decimal places, the rounded result is 3.14
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