Podcast
Questions and Answers
What are the two parts that must be present for a measurement to be meaningful?
What are the two parts that must be present for a measurement to be meaningful?
- A scale and a standard
- A number and a unit (correct)
- An estimate and a measurement
- A label and a description
Which system of units is based on the metric system and was established through international agreement in 1960?
Which system of units is based on the metric system and was established through international agreement in 1960?
- Customary Units
- Metric System
- Imperial System
- SI System (correct)
Which of the following is NOT a fundamental quantity?
Which of the following is NOT a fundamental quantity?
- Distance (correct)
- Temperature
- Mass
- Electric current
What is the basic unit of mass in the SI system?
What is the basic unit of mass in the SI system?
What prefix in the SI system indicates a factor of 10^-3?
What prefix in the SI system indicates a factor of 10^-3?
Which of the following is not a base unit in the SI system?
Which of the following is not a base unit in the SI system?
Which of the following represents a measurement of time in the SI system?
Which of the following represents a measurement of time in the SI system?
In the context of the SI system, what does 'Cd' stand for?
In the context of the SI system, what does 'Cd' stand for?
Which unit is a fundamental quantity in the CGS system?
Which unit is a fundamental quantity in the CGS system?
What type of quantity is volume classified as?
What type of quantity is volume classified as?
How is volume commonly expressed in the metric system?
How is volume commonly expressed in the metric system?
In the context of significant figures, what is a non-zero integer considered?
In the context of significant figures, what is a non-zero integer considered?
Which of the following best describes leading zeros in a measurement?
Which of the following best describes leading zeros in a measurement?
What is the maximum volume a liter can be converted to in cubic centimeters?
What is the maximum volume a liter can be converted to in cubic centimeters?
In the measurement 20.1, what part is considered the uncertain digit?
In the measurement 20.1, what part is considered the uncertain digit?
Which combination can be used to express 1 liter using cubic centimeters?
Which combination can be used to express 1 liter using cubic centimeters?
What is the correct scientific notation for the mass of a carbon atom?
What is the correct scientific notation for the mass of a carbon atom?
How many significant figures are present in the result of the calculation 4.56 x 1.4?
How many significant figures are present in the result of the calculation 4.56 x 1.4?
In addition and subtraction, how is the precision of the result determined?
In addition and subtraction, how is the precision of the result determined?
Which of the following best describes accuracy in measurements?
Which of the following best describes accuracy in measurements?
What characterizes a random error in measurements?
What characterizes a random error in measurements?
When calculating $22.13 + 17.0 + 2.024$, what is the correct final answer considering significant figures?
When calculating $22.13 + 17.0 + 2.024$, what is the correct final answer considering significant figures?
What is the primary difference between precision and accuracy?
What is the primary difference between precision and accuracy?
Which statement is true regarding systematic errors?
Which statement is true regarding systematic errors?
How many significant figures are in the number 100?
How many significant figures are in the number 100?
What is the significance of captive zeros in a number?
What is the significance of captive zeros in a number?
Which of the following numbers contains exactly four significant figures?
Which of the following numbers contains exactly four significant figures?
How are trailing zeros treated in significant figures?
How are trailing zeros treated in significant figures?
What can be assumed about exact numbers in terms of significant figures?
What can be assumed about exact numbers in terms of significant figures?
Which number is correctly represented in scientific notation with two significant figures?
Which number is correctly represented in scientific notation with two significant figures?
When converting 2300000 into scientific notation, which of the following is correct?
When converting 2300000 into scientific notation, which of the following is correct?
How can the speed of light, 300,000 km/s, be written in scientific notation?
How can the speed of light, 300,000 km/s, be written in scientific notation?
What is the SI unit for volume?
What is the SI unit for volume?
How many grams are in one pound?
How many grams are in one pound?
What is the relationship between kilometers and miles?
What is the relationship between kilometers and miles?
If a gallon is equivalent to how many liters?
If a gallon is equivalent to how many liters?
What does the conversion 1 cm equal in inches represent?
What does the conversion 1 cm equal in inches represent?
What is the SI unit for mass?
What is the SI unit for mass?
Which of the following conversions is incorrect?
Which of the following conversions is incorrect?
A student has entered a 10.0 km run. How many miles does this run equal approximately?
A student has entered a 10.0 km run. How many miles does this run equal approximately?
Study Notes
Measurement
- Measurements in science are quantitative, consisting of a number and a unit.
- The SI (International System) is the standard system of units used in science.
SI Units
- The base SI units include:
- Mass: kilogram (kg)
- Length: meter (m)
- Time: second (s)
- Temperature: kelvin (K)
- Electric current: ampere (A)
- Amount of substance: mole (mol)
- Luminous intensity: candela (Cd)
- Prefixes are used to multiply units by powers of 10, allowing for easier expression of very small or large quantities.
Basic Types of Quantity
- Fundamental quantities are basic measurements, with direct units.
- Examples include length, mass, and time.
- Derived quantities are combinations of fundamental quantities.
- Examples include area, volume, and density.
- Volume:
- 1 L = 1 (dm)3 = (10 cm)3 = 1000 cm3
- 1 cm3 = 1 mL
- 1 L = 1000 cm3 = 1000 mL
Significant Figures
- Significant figures represent the certainty of a measurement.
- Rules for counting significant figures:
- Non-zero integers are always significant.
- Leading zeros (zeros before non-zero digits) are not significant.
- Captive zeros (zeros between non-zero digits) are significant.
- Trailing zeros (zeros at the end of a number) are significant only if the number contains a decimal point.
- Exact numbers (from counting or definitions) have an infinite number of significant figures.
Scientific Notation
- Used to express very large or small numbers conveniently.
- Uses a power-of-10 notation.
Rules for Significant Figures in Mathematical Operations
- Multiplication or division: The result has the same number of significant figures as the least precise measurement.
- Addition or subtraction: The result has the same number of decimal places as the least precise measurement.
Precision and Accuracy
- Accuracy refers to the closeness of a measurement to the true value.
- Precision refers to the reproducibility of a measurement.
- Random errors have equal probability of being high or low.
- Systematic errors occur in the same direction each time.
Dimensional Analysis
- A method used to convert between different units.
- Uses conversion factors to ensure that the units cancel out correctly.
- Example: To convert kilometers to miles, use the conversion factor 1 mile = 1.6093 km.
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Description
Test your knowledge on the fundamentals of measurement in science, including the International System of Units (SI) and its base units. This quiz covers key concepts such as fundamental and derived quantities and the significance of significant figures in measurements.