are rational and irrational numbers real numbers?

Answer 1

Well, even imaginary numbers can be irrational or rational.
4i and sqrt(5)*i

And of course, complex numbers can have a rational or irratoinal real or imaginary component.
R + Ri
R + Ii
I + Ri
I + Ii

Keep in mind that even a rational real number is still a complex number.

Answer 2

Hey there!

Yes. Rational numbers and irrational numbers are a subset, or a part of real numbers. So are integers, and whole numbers.

The only group of numbers, which are not in this group is imaginary numbers, i.e. numbers with i ending in them, like 2i, -3i and so on.

Hope it helps!

Answer 3

natural numbers: 1,2,3,... whole numbers: natural numbers including 0 integers: 0, 1, -1 ,2, -2,... (whole numbers and their negatives) rational numbers: if a and b are integers (b is not 0) then a/b is a rational numbers real numbers: the completion of the rational numbers (a bit more sophisticated to explain fully) irrational numbers: real numbers that are not also rational numbers, for example √2

Answer 4

rational and irritional numbers are real number

rational number are ratio numbers or fractions
irritional numbers are numbers which cannot be express as fraction . . . still they can be use in computations

imaginary numbers are not real numbers
that is the difference

Answer 5

Yes, all numbers are real numbers

Answer 6

real numbers are made up of rational & irrational numbers. There are "uncountably infinitely" many irrational numbers and "countably infinitely" many rational numbers. In fact, they prove in set theory that
the continuum, the 1st "uncountably infinity"
= 2^{"countably infinity"} > "countably infinity"

In set theory, you can keep getting higher and higher orders of infinity!

Answer 7

Yes.

Imaginary numbers (or complex numbers) have the number " i ", which is the square root of -1, as a component.

Answer 8

Yes, they are all real numbers.

Answer 9

Yes.

Imaginary numbers make up the only nonreals.