Measurement and SI Units Quiz

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Questions and Answers

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?

  • Customary Units
  • Metric System
  • Imperial System
  • SI System (correct)

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?

<p>Kilogram (D)</p> Signup and view all the answers

What prefix in the SI system indicates a factor of 10^-3?

<p>Milli- (C)</p> Signup and view all the answers

Which of the following is not a base unit in the SI system?

<p>Newton (C)</p> Signup and view all the answers

Which of the following represents a measurement of time in the SI system?

<p>s (A)</p> Signup and view all the answers

In the context of the SI system, what does 'Cd' stand for?

<p>Candela (C)</p> Signup and view all the answers

Which unit is a fundamental quantity in the CGS system?

<p>Second (D)</p> Signup and view all the answers

What type of quantity is volume classified as?

<p>Derived quantity (D)</p> Signup and view all the answers

How is volume commonly expressed in the metric system?

<p>In cubic meters or liters (C)</p> Signup and view all the answers

In the context of significant figures, what is a non-zero integer considered?

<p>Always significant (D)</p> Signup and view all the answers

Which of the following best describes leading zeros in a measurement?

<p>Never significant (A)</p> Signup and view all the answers

What is the maximum volume a liter can be converted to in cubic centimeters?

<p>1000 cm³ (C)</p> Signup and view all the answers

In the measurement 20.1, what part is considered the uncertain digit?

<p>1 (B)</p> Signup and view all the answers

Which combination can be used to express 1 liter using cubic centimeters?

<p>1 L = 10³ cm³ (A)</p> Signup and view all the answers

What is the correct scientific notation for the mass of a carbon atom?

<p>2.0 X 10^{-23} grams (A)</p> Signup and view all the answers

How many significant figures are present in the result of the calculation 4.56 x 1.4?

<p>2 (A)</p> Signup and view all the answers

In addition and subtraction, how is the precision of the result determined?

<p>By the least number of decimal places (D)</p> Signup and view all the answers

Which of the following best describes accuracy in measurements?

<p>Agreement with the true value (D)</p> Signup and view all the answers

What characterizes a random error in measurements?

<p>Equal probability of high or low values (B)</p> Signup and view all the answers

When calculating $22.13 + 17.0 + 2.024$, what is the correct final answer considering significant figures?

<p>41.2 (D)</p> Signup and view all the answers

What is the primary difference between precision and accuracy?

<p>Precision refers to consistency; accuracy refers to closeness to true value (A)</p> Signup and view all the answers

Which statement is true regarding systematic errors?

<p>They are predictable and occur consistently (D)</p> Signup and view all the answers

How many significant figures are in the number 100?

<p>One (A)</p> Signup and view all the answers

What is the significance of captive zeros in a number?

<p>They are always counted as significant figures. (D)</p> Signup and view all the answers

Which of the following numbers contains exactly four significant figures?

<p>1.008 (D)</p> Signup and view all the answers

How are trailing zeros treated in significant figures?

<p>They count only if the number contains a decimal point. (B)</p> Signup and view all the answers

What can be assumed about exact numbers in terms of significant figures?

<p>They are considered to have infinite significant figures. (A)</p> Signup and view all the answers

Which number is correctly represented in scientific notation with two significant figures?

<p>2.0 x 10^-4 (C)</p> Signup and view all the answers

When converting 2300000 into scientific notation, which of the following is correct?

<p>2.3 x 10^6 (B)</p> Signup and view all the answers

How can the speed of light, 300,000 km/s, be written in scientific notation?

<p>3.00 x 10^5 km/s (A)</p> Signup and view all the answers

What is the SI unit for volume?

<p>Cubic meter (m³) (C)</p> Signup and view all the answers

How many grams are in one pound?

<p>453.59 grams (C)</p> Signup and view all the answers

What is the relationship between kilometers and miles?

<p>1 km = 0.62137 miles (C)</p> Signup and view all the answers

If a gallon is equivalent to how many liters?

<p>3.7854 liters (B)</p> Signup and view all the answers

What does the conversion 1 cm equal in inches represent?

<p>0.39370 inches (C)</p> Signup and view all the answers

What is the SI unit for mass?

<p>Kilogram (kg) (C)</p> Signup and view all the answers

Which of the following conversions is incorrect?

<p>1 liter = 10 dm3 (D)</p> Signup and view all the answers

A student has entered a 10.0 km run. How many miles does this run equal approximately?

<p>6.2137 miles (A)</p> Signup and view all the answers

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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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