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Yes. A number can be either rational or irrational, but never both; otherwise there would be an inherent contradiction.

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โˆ™ 2010-06-22 11:28:54
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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: Is a number either rational or irrational but not both?
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Related questions

Is three an irrational number rational number both rational and irrational or neither rational or irrational?

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


What is a rational number number which is not a rational number?

There is no such thing as a number that is both rational and irrational. By definition, every number is either rational or irrational.


A number exists that is both a rational and irrational?

No. Irrational means "not rational". A number either is rational, or it is not rational - tercium non datur.


Can rational numbers be irrational numbers?

No, they are two separate groups of numbers. A number is either rational or irrational, never both.


Is 0.555555 both rational and irrational rational neither rational nor irrational irrational?

No number can be both rational and irrational. And, at the level that you must be for you to need to ask that question, a number must be either rational or irrational (ie not neither). 0.555555 is rational.


Some numbers are rational and irrational?

A real number can be either rational or irrational. It can't be both at the same time.


Are there numbers that are both rational and irrational?

No, no number can be both rational and irrational.


When you multiply an irrational number by a rational number will the answer always be irrational rational or both?

It will be irrational.


A number is either a rational or an irrational but not both True or False?

True.


Is 0737373 rational irrational both rational and irrational or neither rational?

It is rational.A number cannot be both rational and irrational.


Is the number below rational irrational both rational and irrational or neither rational nor irrational?

If it can't be expressed as a fraction then it is an irrational number


Is the number 3 rational irrational both rational and irrational or neither rational?

The number 3 is a rational number (as is any integer).


If a number is a real number can it be rational and irrational simultaneously Why?

No. A rational number is a number that either terminates or repeats. An irrational number neither terminates nor repeats. Therefore, it cannot be both.


Can you multiply an irrational number by a rational number and the answer is rational?

The product of an irrational number and a rational number, both nonzero, is always irrational


Is -34 both rational and irrational?

-34 is a rational number


Are some irrational numbers rational?

No.A number can fall into only one of those categories ... it can be either rational or irrational, but not both.If you pick a number that is irrational, then I know immediately that it can't be rational, since no number can be both, and you've already told me which one it is.


Is the number 2 rational or irrational or both or neither?

Integers and fractions that have integers in the numerator and denominator are rational. A number can't be rational and irrational at the same time - irrational means "not rational".


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 a real number always irrational?

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


Why can't a number be both irrational and whole at the same time?

A whole number k can be written in the form k/1 where k and 1 are both integers. It can, thus, be expressed in the form of a ratio and so is rational. Since it is rational it cannot be irrational. Simple!


Is the square root of 36 an irrational or a rational number?

They are both rational.


Can a number be both rational and irrational?

No.The definition of a rational number is a number that can be written as the quotient of two integers (and the divisor is not zero).The definition of an irrational number is a real number that cannot be written as the quotient of two integers (and the divisor is not zero).A number can either be written as the quotient of two integers or it can't. One or the other.A number cannot be both rational and irrational.


Is 0.727272 a rational number irrational number both irrational and rational or neither?

0.727272 is the ratio of 727,272 and 1,000,000. So it's nice and rational.


What is the similarity of a rational number and an irrational no?

they are both numbers


Can you add two irrational numbers to get a rational number?

Yes Yes, the sum of two irrational numbers can be rational. A simple example is adding sqrt{2} and -sqrt{2}, both of which are irrational and sum to give the rational number 0. In fact, any rational number can be written as the sum of two irrational numbers in an infinite number of ways. Another example would be the sum of the following irrational quantities [2 + sqrt(2)] and [2 - sqrt(2)]. Both quantities are positive and irrational and yield a rational sum. (Four in this case.) The statement that there are an infinite number of ways of writing any rational number as the sum of two irrational numbers is true. The reason is as follows: If two numbers sum to a rational number then either both numbers are rational or both numbers are irrational. (The proof of this by contradiction is trivial.) Thus, given a rational number, r, then for ANY irrational number, i, the irrational pair (i, r-i) sum to r. So, the statement can actually be strengthened to say that there are an infinite number of ways of writing a rational number as the sum of two irrational numbers.