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Questions and Answers
Correctly rounded, the result (23.1000 g - 22.0000 g) / (25.10 mL - 25.00 mL) is
Correctly rounded, the result (23.1000 g - 22.0000 g) / (25.10 mL - 25.00 mL) is
Report the following number to five significant figures: 107.0863.
Report the following number to five significant figures: 107.0863.
107.09
How many significant figures are in the number 210,000?
How many significant figures are in the number 210,000?
27.5234 mL of water is transferred to a graduated cylinder with scale marks 0.01 mL apart. Which of the following will be the correct reading taken from the graduated cylinder?
27.5234 mL of water is transferred to a graduated cylinder with scale marks 0.01 mL apart. Which of the following will be the correct reading taken from the graduated cylinder?
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Correctly rounded, the sum of 3.2 x 10^-3 cm and 2.7 x 10^-4 cm is
Correctly rounded, the sum of 3.2 x 10^-3 cm and 2.7 x 10^-4 cm is
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Correctly rounded, 23.0032 + 0.491 g =
Correctly rounded, 23.0032 + 0.491 g =
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Rounded correctly, 2.000 cm x 10.0 cm =
Rounded correctly, 2.000 cm x 10.0 cm =
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The number of significant figures in 0.00230300 is
The number of significant figures in 0.00230300 is
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A ton is equivalent to 907.185 kg. How many significant figures does this number have?
A ton is equivalent to 907.185 kg. How many significant figures does this number have?
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How many significant figures are in the number 10.55? Give a numerical answer.
How many significant figures are in the number 10.55? Give a numerical answer.
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Study Notes
Significant Figures in Calculations
- The difference between 23.1000 g and 22.0000 g divided by the difference between 25.10 mL and 25.00 mL rounds to 11 g/mL.
- Precision is crucial when rounding; the resultant unit should reflect the appropriate significant figures.
Rounding Numbers
- The number 107.0863 rounded to five significant figures is 107.09, demonstrating the process of maintaining precision.
Identifying Significant Figures
- The number 210,000 has at least 2 significant figures; context determines whether zeros are significant.
- Significant figures are essential for conveying the precision of measurements.
Correct Measurement Reporting
- For a volume of 27.5234 mL, when measuring in a graduated cylinder with a scale of 0.01 mL, the reported value should be 27.523 mL to reflect significant figures accurately.
Addition with Significant Figures
- When adding 3.2 x 10^-3 cm and 2.7 x 10^-4 cm, the correctly rounded sum is 0.0035 cm, showcasing rules for handling scientific notation.
Rounding Sums
- The addition of 23.0032 g and 0.491 g results in 23.494 g, emphasizing adherence to significant figures during calculations.
Multiplying with Significant Figures
- The product of 2.000 cm and 10.0 cm equals 20.0 cm², highlighting the importance of precise rounding in multiplication.
Counting Significant Figures
- The number 0.00230300 contains 6 significant figures; leading zeros do not count, but trailing zeros after a decimal do.
Exact Numbers and Significant Figures
- The metric ton equivalent of 907.185 kg is an exact number, thus possessing infinite significant figures.
Overview of Significant Figures in Measurements
- The number 10.55 contains 4 significant figures, indicating the precision necessary in scientific communication.
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Description
Test your understanding of significant figures with our CHEM 117 quiz. You'll tackle questions that require rounding and reporting numbers accurately. This quiz includes various scenarios to master significant figures in measurements.
