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What is a number that cannot be expressed as a quotient of integers?
A number that cannot be expressed as a quotient of two integers is called an irrational number. Some common irrational numbers are pi (3.14159....) and the square root of two.
What number is both rational and irrational?
None. A rational number is a number that can be written as the quotient of two integers where the divisor is not zero. An irrational number is a real number that cannot be written as the quotient of two integers where the divisor is not zero. Any given real number either can or cannot be written as the quotient of two integers. If it can, it is rational. If it cannot, it is irrational. You can't be both at the same time. The square root of -1 is not a real number and it cannot be written as the quotient of two integers, so it is neither rational nor irrational.
Is 1/5 irrational number?
No. Irrational numbers can not be expressed as a ratio between two integers.
Is 66666 a irrational number?
It is not, for it is equal to 66666/1, which is the ratio of two integers.
Why isn't 3.14 an irrational number?
A rational number is a real number which can be expressed as a division of two integers. A real number which is not rational is called irrational. Since 3.14 = 314/100 and 314 & 100 are integers it is a rational number.
