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Are irrational numbers always integers?
No. An irrational number is one that is not a rational number. A rational number is once that equals one integer divided by another. So an irrational number cannot be represented by one integer divided by another integer, so it cannot be an integer!
Why can't numbers be both rational and irrational?
By definition, an irrational number is a number that is not rational, or in other words a number that cannot be expressed as an integer divided by another integer. A number cannot be both "rational" and "not rational."
Is the number 3 an integer rational irrational or a real number?
It is an integer. All integers are rational but not irrational. All rational and irrational numbers are real numbers.
Are integars irrational numbers?
No, integers aren't irrational numbers. For a number to be irrational, it must not be able to be expressed as a fraction of two integers. Every integer can be expressed as the integer itself divided by one, and so fails to meet this requirement. For example, 2 can be expressed as 2/1; therefore, it is a rational number as opposed to an irrational number.
Can you add two irrational numbers and get an integer?
No, you can't.
