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If a number can be written as the ratio of two integers (a fraction with whole

numbers on top and bottom) then the number is rational. If it can't then it isn't.

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Q: What is the proper definition of rational and irrational numbers?
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If a number isn't a integer what is it?

It is a non-integer. It can be a rational fraction (in decimal or rational form); it can be an irrational number (including transcendental numbers); it could be a complex number or a quaternion.


What is the intersection of the rational numbers and the irrational numbers?

Some would say that there is no intersection. However, if the set of irrational numbers is considered as a group then closure requires rationals to be a proper subset of the irrationals.


Is the number 56 a rational number whole number natural number or irrational number?

56 is a rational whole natural number. Or to put it another way: 56 is a Natural number, but as all natural numbers are also whole numbers 56 is also a whole number, but as all whole numbers are also rational numbers 56 is also a rational number. Natural numbers are a [proper] subset of whole numbers; Whole numbers are a [proper] subset of rational numbers. The set of rational numbers along with the set of irrational numbers make up the set of real numbers


Are rational numbers is a whole number?

Some rational numbers are whole numbers, some are not. The set of whole numbers is a proper subset of rational numbers.


Is the square root of 7 over 9 an irrational or rational?

It is an irrational number because it can't be expressed as a proper fraction


Which set is the intersection of real numbers and rational numbers?

The rational numbers, since it is a proper subset of the real numbers.


What is the relationship between counting numbers whole numbers integers and rational numbers?

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


Why the rational number 10 is also a real number?

Rational numbers are a proper subset of real numbers so all rational numbers are real numbers.


How are whole numbersintegers and rational numbers related?

Whole numbers and integers are the same. They are a proper subset of rational numbers.


Is the number 23 an irrational number or a rational number?

Rational.All counting numbers (1, 2, 3 etc.) are rational. In fact many fractions/decimals are rational too. Rational just means that we know when the numbers stop.A good example of an irrational number is Pi, which equals 3.14159265358979.... and it just keeps going. No one knows the exact number of pi because as far as anyone can tell, the numbers keep going forever without any proper repeating pattern.


What is the relationship between real number and rational number?

Rational numbers form a proper subset of real numbers. So all rational numbers are real numbers but all real numbers are not rational.


Are all unreal numbers irrational?

No. Irrational numbers form a proper subset of real numbers. That means that all irrationals are real so non-reals cannot be irrational.