Math and Arithmetic
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Irrational Numbers

# Can a number be a member of the set of rational numbers in the set of irrational numbers?

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No, a number is either rational or irrational

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## Related Questions

No, they are complementary sets. No rational number is irrational and no irrational number is rational.Irrational means not rational.

No. If it was a rational number, then it wouldn't be an irrational number.

yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.

-- There's an infinite number of rational numbers. -- There's an infinite number of irrational numbers. -- There are more irrational numbers than rational numbers. -- The difference between the number of irrational numbers and the number of rational numbers is infinite.

No. Real numbers are divided into two DISJOINT (non-overlapping) sets: rational numbers and irrational numbers. A rational number cannot be irrational, and an irrational number cannot be rational.

Next to any rational number is an irrational number, but next to an irrational number can be either a rational number or an irrational number, but it is infinitely more likely to be an irrational number (as between any two rational numbers are an infinity of irrational numbers).

It will be irrational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

In between any two rational numbers there is an irrational number. In between any two irrational numbers there is a rational number.

Rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

Positive numbers can be either rational or irrational.

5.2 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

Some irrational numbers can be multiplied by another irrational number to yield a rational number - for example the square root of 2 is irrational but if you multiply it by itself, you get 2 - which is rational. Irrational roots of numbers can yield rational numbers if they are raised to the appropriate power

It is an integer. All integers are rational but not irrational. All rational and irrational numbers are real numbers.

When a rational numbers is divided by an irrational number, the answer is irrational for every non-zero rational number.

Rational numbers can also be expressed as fractions whereas irrational numbers can't be expressed as fractions.

Real numbers can be rational or irrational because they both form the number line.

No, rational number are ones that can be written as a/b where a and b are integers. Irrational numbers are those real number that are NOT rational.

No, rational number are ones that can be written as a/b where a and b are integers. Irrational numbers are those real number that are NOT rational.

Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

Integers are rational. In the set of real numbers, every number is either rational or irrational; a number can't be both or neither.

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