An integer is a whole number: a countng number, zero or a negative counting number. That is, an element of the set {..., -3, -2, -1, 0, 1, 2, 3, ...}. A rational number is one that can be expressed in the form x/y where x and y are integers, and y is not zero.
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The set of integers is a subset of the set of rational numbers. Rational numbers also include fractions.
When you consider how many rational numbers there are, the difference between any two of them is hardly ever an integer. Examples: 5 - 4/5 = 41/5 5/6 - 2/3 = 1/6 3.274 - 1.368 = 1.906 All of the nine numbers in these examples are rational numbers.
No, it is not generally true.
Yes.
There are an infinite number of rational numbers between these two numbers, but the only positive integer between these numbers is 6.
It is an integer. All integers are rational but not irrational. All rational and irrational numbers are real numbers.