Questions and Answers
What are the rules for rounding off?
If the first digit to be dropped is less than 5, it and all the following digits are dropped. If the first digit to be dropped is greater than 5, all the following digits are dropped and the value of the last retained digit is increased by 1.
How do you determine the number of significant figures for an answer obtained by multiplication or division?
The answer will only obtain the least amount of significant figures within the numbers that have been calculated.
How do you determine the number of decimal places for an answer obtained by addition or subtraction?
The final answer is written so that it has the same number of decimal places as the measurement having the fewest decimal places.
What is the standard unit of length?
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What is the standard unit of mass?
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What is the standard unit of volume?
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What is the standard unit of temperature?
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Why is the metric (SI) system called a decimal system of measurement?
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What is the purpose of using prefixes in the metric system?
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Is 5 books a measurement or an exact number?
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Is 0.0035 kg a measurement or an exact number?
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Is 12 beakers a measurement or an exact number?
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Is 1000 ml = 1 L a measurement or an exact number?
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Is 9.25 L a measurement or an exact number?
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Is 100 cm in 1 m a measurement or an exact number?
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Is 59.067 g a measurement or an exact number?
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Is 8.03 ml a measurement or an exact number?
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How many significant figures are in 4.5?
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How many significant figures are in 0.0004 L?
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How many significant figures are in 805 lb?
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How many significant figures are in 204.52 g?
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How many significant figures are in 625.000 mm?
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How many significant figures are in 34.80 km?
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Study Notes
Rounding Off Rules
- When dropping a digit, if the first digit dropped is less than 5, all digits beyond it are discarded.
- If the first digit dropped is greater than 5, the last retained digit is increased by 1 and all following digits are discarded.
Significant Figures in Multiplication/Division
- The result obtained from multiplication or division will have the same number of significant figures as the number with the least significant figures in the calculation.
Decimal Places in Addition/Subtraction
- The result should have the same number of decimal places as the measurement with the fewest decimal places involved in the addition or subtraction.
Standard Units of Measurement
- Length: Meters (m)
- Mass: Kilograms (kg)
- Volume: Cubic meters (m³)
- Temperature: Kelvin (K)
Metric (SI) System
- Known as a decimal system of measurement due to its basis on multiples of ten.
- Provides a standardized way to express and compare measurements.
Role of Prefixes in Metric System
- Prefixes indicate scaling factors, allowing for easier representation of smaller or larger quantities (e.g., milli-, centi-, kilo-).
Exact vs. Measured Numbers
- Exact Numbers: Counted or defined quantities (e.g., 5 books, 12 beakers, 1000 mL = 1 L, 100 cm in 1 m).
- Measured Numbers: Values obtained from measuring instruments that may include uncertainty (e.g., 0.0035 kg, 9.25 L, 59.067 g, 8.03 mL).
Significant Figures Examples
- 4.5 has 2 significant figures.
- 0.0004 L has 1 significant figure.
- 805 lb has 3 significant figures.
- 204.52 g has 5 significant figures.
- 625.000 mm has 6 significant figures.
- 34.80 km has 4 significant figures.
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Description
This quiz focuses on key concepts related to rounding off numbers and significant figures. Perfect for students preparing for laboratory experiments and wanting to solidify their understanding of mathematics in science. Test your knowledge and ensure you're ready for practical applications!
