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Q: Is it possible to count the number of rational numbers there are between any two integers?

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The set of integers is a proper subset of the set of rational numbers.

Since all integers are rational numbers (but not all rational numbers are integers), the certainly some of the rational numbers are integers. For example, 1, 2, and 3 are rational numbers. They are also integers.

Counting numbers are a proper subset of whole numbers which are the same as integers which are a proper subset of rational numbers.

No, integers are a subset of rational numbers.

Yes, but there are countably infinite such numbers.

Not all rational numbers are integers, but all integers are rational.

because not all rational numbers are integers, recurring numbers, numbers to 1 decimal place and fractions are rational as well but all integers are rational

All integers are rational numbers.

No, not always, although integers are rational numbers.

All integers are rational numbers.

Rational numbers are integers and fractions

All integers are rational numbers. There are integers with an i behind them that are imaginary numbers. They are not real numbers but they are rational. The square root of 2 is irrational. It is real but irrational.

No, not all rational numbers are integers. All integers are whole numbers, but a non-whole number can be rational if the numbers after the decimal point either 1. end or 2. repeat. So, sometimes rational numbers are integers, sometimes they're not. But all integers are rational numbers.

Integers are aproper subset of rational numbers.

Fractions are not integers. They may or may not be rational numbers.

They can be integers, rational numbers or even approximations for irrational numbers.

Natural numbers = Whole numbers are a subset of integers (not intrgers!) which are a subset of rational numbers. Rational numbers and irrational number, together, comprise real numbers.

Rational numbers are numbers that can be expressed as the quotient of two integers (3/2, 15/16). All integers, then, are rational numbers (12 = 12/1).

All integers are rational numbers. There are integers with an i behind them that are imaginary numbers. They are not real numbers but they are rational. The square root of 2 is irrational. It is real but irrational.

If I understand your question, the answer is 'no', because all integers are rational numbers.

Any 2 digit integers are rational numbers because all integers or whole numbers are rational numbers.

Yes - any integers, including negative integers, are rational numbers.

Natural and whole numbers are, and integers are rational.

All integers are rational numbers, not all rational numbers are integers. Rational numbers can be expressed as fractions, p/q, where q is not equal to zero. For integers the denominator is 1. 5 is an integer, 2/3 is a fraction, both are rational.

They're not different. The integers are a part of the rational numbers.