Math and Arithmetic

Numbers

Irrational Numbers

Top Answer

Rational numbers - can be expressed as a fraction, and can be terminating and repeating decimals. Irrational Numbers - can't be turned into fractions, and are non-repeating and non-terminating. (like pi)

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0Next 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).

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.

Since the sum of two rational numbers is rational, the answer will be the same as for the sum of an irrational and a single rational number. It is always irrational.

Yes it will be. The set of real numbers can be divided into two distinct sets: rational and irrational. So if it is not rational, then it is irrational.

There is no number which can be rational and irrational so there is no point in asking "how".

The sum of two irrational numbers may be rational, or irrational.

It is always rational.

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

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.

Rational numbers and irrational numbers are two completely different groups. A rational number is a number that can be expressed as a fraction of whole integers. An irrational number is a number that cannot be expressed as a fraction of whole integers. So a number is either rational or irrational.

An irrational number is a real number that is not rational. A rational number is one that can be expressed as a ratio of two integers. An irrational number cannot be expressed in this way.

Not necessarily. The sum of two irrational numbers can be rational or irrational.

A rational number is one that can be expressed as a ratio of two integers, the second of which is not zero. An irrational number is any real number that is not rational.

The product of two rational number is always rational.

An irrational number is a number that is not rational. A rational number is a number that can be expressed as the quotient of two integers, the divisor not being zero.

A rational number is one that can be expressed as the ratio of two integers with the denominator not being zero. An irrational number is one that is not rational.

It may be a rational or an irrational number.

A rational number is a number that can be expressed as a ratio of two integers in the form A/B where B>0. An irrational number is a real number that is not rational.

A rational number is a real number that can be expressed as a ratio of two integers; an irrational number cannot be so expressed.

No - the sets of rational and irrational numbers have no intersection. A rational number is any Real number that CAN be represented as a ratio of two integers where the denominator is not zero. An Irrational number is any Real number the CANNOT be represented as a ration of two integers.

That simply isn't true. The sum of two irrational numbers CAN BE rational, but it can also be irrational. As an example, the square root of 2 plus the square root of 2 is irrational.

Yes. The sum of two irrational numbers can be rational, or irrational.

No. An irrational number is a number that neither terminates nor repeats. Since 1 terminates, it is called a rationalnumber.No. An irrational number is a number that is not rational. Rational numbers are those who can be defined as the division of two integer numbers. As 1 is 1/1, it is a rational number, so, it's not irrational.

The question is nonsense because the product of two rational numbers is never irrational.

The set of real numbers is divided into rational and irrational numbers. The two subsets are disjoint and exhaustive. That is to say, there is no real number which is both rational and irrational. Also, any real number must be rational or irrational.

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