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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
- 11.00 g/mL
- 11 g/mL (correct)
- 11.000 g/mL
- 11.0 g/mL
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?
- At least 2 (correct)
- At least 6
- Exactly 6
- Exactly 2
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?
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
Correctly rounded, 23.0032 + 0.491 g =
Correctly rounded, 23.0032 + 0.491 g =
Rounded correctly, 2.000 cm x 10.0 cm =
Rounded correctly, 2.000 cm x 10.0 cm =
The number of significant figures in 0.00230300 is
The number of significant figures in 0.00230300 is
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?
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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