Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Scientific observations can be qualitative (describing qualities using the five senses) or quantitative (using numerical values and units, such as ).
Measurements must always include a magnitude and a unit. The SI (International System of Units) includes the meter () for length, kilogram () for mass, and second () for time.
Accuracy refers to how close a measurement is to the true value, while Precision refers to how close a series of measurements are to each other.
Parallax error is a common mistake in measurement caused by viewing a scale at an angle. To avoid this, always read at eye level and perpendicular to the scale.
When measuring liquid in a graduated cylinder, measurements should be taken from the bottom of the meniscus (the curve of the liquid surface).
Independent variables are the factors we change, while Dependent variables are the factors we measure (e.g., measuring the change in temperature over time ).
Derived units are units calculated from SI base units, such as area (), volume (), and density ().
📐Formulae
💡Examples
Problem 1:
A student measures the mass of a rock as and its volume as . Calculate the density of the rock.
Solution:
Explanation:
To find the density, divide the mass () by the volume (). The resulting unit is because the mass was in grams and the volume was in cubic centimeters.
Problem 2:
A beaker contains of water. After placing a marble inside, the water level rises to . What is the volume of the marble?
Solution:
Explanation:
This is the displacement method used to measure the volume of irregular objects. Since , the volume is .
Problem 3:
Convert a length of into .
Solution:
Explanation:
There are in , so we multiply the value in meters by to get the value in centimeters.