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Imaginary numbers are not a subset of the real numbers; imaginary means not real.

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Q: Which of these sets of numbers is not a subset of the real numbers irrational integer rational and imaginary?
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Continue Learning about Algebra

Is an integer an irrational number?

No because all integers are rational numbers


Is every integer an irrational number?

No integer is an irrational number. An irrational number is a number that cannot be represented as an integer or a fraction.All integers which are whole numbers are rational numbers.


Are imaginary numbers rational or irrational?

Imaginary numbers are not intrinsically rational or irrational.Of course, all real numbers are either rational or irrational numbers.Imaginary numbers are not real numbers.Imaginary numbers have a real part and an imaginary part, sometimes written like z=x+i y.The two parts, i.e. the x and the y, are real numbers. As real numbers, they are either rational or irrational. Its just that the two parts of a complex number may both be either rational or irrational or one may be rational and the other irrational. One could always make up a new name for these cases, but right now there is no such classification.


Is every real number an rational number or irrational number?

Numbers are split into real and imaginary. Rational numbers are under the category: Real. Therefore all rational numbers are real. An irrational number is also real, but can not be expressed as a fraction.


What is a difference between an imaginary and an irrational number?

An irrational number is a subset of the set of real numbers. So a rational number is an number which can be expresses as a ratio (fraction) of a/b where a is any integer, and b is any nonzero integer. Note that integers are real numbers. So irrational numbers are all real numbers which are not rational numbers.Note that all of the numbers so far are real numbers. Now for imaginary numbers. Look at the KhanAcademy video or MathsIsFun.Take a number -1 and try to square root. Note that (-1) times (-1) equals positive 1. So we created a number i, which when squared equals -1. This is the imaginary unit number. Now you can take any real number, and multiply that by i to get any imaginary number.

Related questions

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.


Is 15 an irrational number or rational number or an integer?

15 is both rational, and an integer. is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.


Is the square root of 225 rational or irrational?

Neither, it is an imaginary number and imaginary numbers are neither rational nor irrational.


What number is a rational number but not an integer?

Rational numbers are numbers that can be written as a fraction. Irrational Numbers cannot be expressed as a fraction. Any number that is a fraction is not an integer, but rational.


Is an integer an irrational number?

No because all integers are rational numbers


Is 2.5 rational or irrational?

No, 25 is a rational number; it is an integer, and all integers are rational.


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!


Is every integer an irrational number?

No integer is an irrational number. An irrational number is a number that cannot be represented as an integer or a fraction.All integers which are whole numbers are rational numbers.


If a number isn't a integer what is it?

It is a non-integer. It can be a rational fraction (in decimal or rational form); it can be an irrational number (including transcendental numbers); it could be a complex number or a quaternion.


What two groups of numbers have no overlap?

real and imaginary rational and irrational


Is an integer an irrational?

No because all integers or whole numbers are rational numbers


Is 225 irrational?

No because 225 is an integer and all whole numbers are rational