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Reference

Types of Quantities

Concept

Quantity

A quantity is a value that represents the amount of something. It is the answer to the question of "how much?" or "how many?" The quantity of something can be expressed in different units of measure. Consider the following example.

Expressing the quantity in different ways
The quantity of the given rice can be expressed as a bowl of rice. It can be measured and calculated as grams. It can also be counted as grains. Quantities are discrete, such as counting the number of tickets, or continuous, such as measuring the age of a person.
A quantity can be represented not only by a number but also by variables or algebraic expressions.
Concept

Discrete Quantity

A discrete quantity is a quantity that can only take distinct, separate values in an interval. There are no values between these distinct values. The number of students in a class, the number of tickets for a concert, and the number of goals scored in a soccer match are examples of discrete quantities. These values are countable and typically represented by integers or whole numbers.
Note that the value of the quantity can only be specific amounts such as or as a fraction or part of a discrete quantity is not an option. Imagine buying only part of a concert ticket! Now, although discrete quantities are often restricted to whole numbers, there are exceptions. Depending on the context, discrete quantities can take values from a set like

Extra

 Exceptions Explained
Shoe sizes, for example, can include half-sizes such as and
This provides more options for people to find a better fit. Another example can be a grading system where students can receive scores that include half-points.
The scores are still discrete because they are specific and separate values. Each score is distinct from the others and there are no values between them. Therefore, in the context of shoe sizes and grading systems, discrete quantities can indeed be fractions or decimal numbers.
Concept

Continuous Quantity

A quantity that can take any value within a given interval is a continuous quantity. Such quantities are not limited to specific, separate values, and they can be measured very precisely. Length, time, temperature, weight, and age are examples of continuous quantities.
Here, each point on the number line corresponds to a specific age, and the line itself represents the possible ages. A person's age can be any real number, depending on the precision of the measurement. In using whole years, someone's age might be said to be years old. With more precise measurements, age could be expressed as and a years, years and months, or an age like years and days.
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