Questions and Answers
How many significant figures are present in the measurement 0.00456 g?
In the number 100.000 kg, how many significant figures are there?
Which of the following numbers contains the least amount of significant figures when performing addition?
When multiplying the numbers 2.00 and 3.1, what is the appropriate number of significant figures in the result?
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What is the correct number of significant figures in the measurement 0.000530 m?
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In the number 2000, how many significant figures are present if it is written without a decimal point?
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If you add 12.1 m and 0.045 m, what should be the number of decimal places in the result?
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How many significant figures are contained in the measurement 2.0040 L?
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What does precision refer to in measurements?
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In the context of significant figures, which of the following digits is considered significant?
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When adding or subtracting numbers, how should the answer be rounded?
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What is the rule for determining the number of significant figures when multiplying two numbers?
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How is uncertainty in a measurement typically expressed?
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Which of the following correctly represents the scientific notation of the number 0.0004567?
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What would be the result of multiplying 2.3 (2 significant figures) by 5.678 (4 significant figures)?
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Which of the following statements about significant figures is NOT true?
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What does precision refer to in measurements?
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Which type of digit is considered 'certain' in a measurement?
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When multiplying two numbers, 12.1573 m and 1.10 m, what is the correct number of significant figures for the result?
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In measuring a length of 38 ml with a least count of 1 ml, which of the following represents the uncertain digit?
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When adding the lengths 2.4067 m, 3.4 m, and 12.0112 m, which is the proper result considering significant figures?
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How many significant figures should be retained when dividing 12.5678 m by 4.001 s?
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Which statement correctly describes least count in measurements?
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What does accuracy indicate in measurements?
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Study Notes
Significant Figures
- Significant figures indicate the precision of a measurement.
- All nonzero digits (1-9) always count as significant.
- Leading zeros (e.g., 0.045 g) are not significant; only the non-zero digits count.
- Zeros between non-zero digits (e.g., 202 ft) are significant.
- Trailing zeros in a decimal number (e.g., 1.00 km) are significant; without a decimal (e.g., 100 kg), they are not.
- When performing addition or subtraction, the answer must reflect the least number of decimal places from the values involved.
- For multiplication and division, the final answer must have the same number of significant figures as the measurement with the least significant figures.
Scientific Notation
- Scientific notation expresses large or small numbers in a simplified format using a coefficient and an exponent (e.g., 1.57 x 10^5).
- To convert standard notation to scientific notation, move the decimal point until only one non-zero digit remains to the left of it (e.g., 183,000,000 becomes 1.83 x 10^8).
- Converting scientific notation back to standard involves shifting the decimal point the number of places indicated by the exponent (e.g., 2.85 x 10^10 becomes 28,500,000,000).
Uncertainty in Measurement
- Certain digits refer to measurements provided directly by the instrument.
- Uncertain digits are estimates and reflect the precision's limit.
- The least count is the smallest division marked on the measuring instrument (e.g., 0.1 cm or 1 mm).
Precision vs. Accuracy
- Precision indicates how close multiple measurements are to each other.
- Accuracy assesses how close a measurement is to the true value of the quantity measured.
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Description
Test your understanding of significant figures with this quiz. You'll encounter questions that challenge you to determine how many significant figures are present in various measurements. Brush up on the rules and apply them to different examples to solidify your knowledge.
