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What are the definitions of continuous quantity and discrete quantity in mathematics? Then give some examples to answer several questions about continuous quantity. I hope to get an answer.
In fact, a continuous quantity is a quantity that can be divided infinitely. In layman's terms, it is the amount of water, area, volume and space that can be crushed. This quantity usually has no minimum unit.

And discrete quantities, such as "people", as living individuals, people are discrete quantities, because people are divided into dead people, but as corpses, they are continuous quantities, because they are pools of flesh and blood and can be divided indefinitely. For example, "apple" is a discrete quantity in the sense of apple, but it is a continuous quantity in the sense of "pulp"

Quantities measured by real numbers are called continuous quantities.

Quantities measured by integers are called discrete quantities.