No. The set of real numbers contains an infinitely more irrational numbers than rational numbers.
The set of complex numbers is a field which contains the set of real numbers as a proper subfield.
Any set that contains it. For example, the set {1, 2.3, 2.236067977} or {-79000, pi, 2.236067977, sin(47)} or all real numbers, etc
To any set that contains it! It belongs to {sqrt(5)}, or {45, sqrt(2), pi, -3/7, sqrt(5)}, or irrational numbers, or real numbers between -3 and 3 etc.
The set {15}.
No. The set of real numbers contains an infinitely more irrational numbers than rational numbers.
The set of complex numbers is a field which contains the set of real numbers as a proper subfield.
Any set that contains it. For example, the set {1, 2.3, 2.236067977} or {-79000, pi, 2.236067977, sin(47)} or all real numbers, etc
Integers
Rational numbers and Real Numbers. The multiplicative inverses of integers are not integers.
It is uncountable, because it contains infinite amount of numbers
To any set that contains it! It belongs to {sqrt(5)}, or {45, sqrt(2), pi, -3/7, sqrt(5)}, or irrational numbers, or real numbers between -3 and 3 etc.
To any set that contains it!It belongs to {-4.5},or {-4.5, sqrt(2), pi, -3/7},or multiples of -0.5,or negative numbers,or rational numbers,or real numbers,or complex numbers,or square roots of 22.25,etc.To any set that contains it!It belongs to {-4.5},or {-4.5, sqrt(2), pi, -3/7},or multiples of -0.5,or negative numbers,or rational numbers,or real numbers,or complex numbers,or square roots of 22.25,etc.To any set that contains it!It belongs to {-4.5},or {-4.5, sqrt(2), pi, -3/7},or multiples of -0.5,or negative numbers,or rational numbers,or real numbers,or complex numbers,or square roots of 22.25,etc.To any set that contains it!It belongs to {-4.5},or {-4.5, sqrt(2), pi, -3/7},or multiples of -0.5,or negative numbers,or rational numbers,or real numbers,or complex numbers,or square roots of 22.25,etc.
The set {15}.
The set of real numbers contains an additive identity - which is denoted by zero - such that, for all real numbers, x, x + 0 = 0 + x = x.
Yes. Anything that can be put on the number line is real. You will learn about imaginary and complex numbers in advanced math. They are included in complex numbers but again that is very advanced math.
The five axioms, or postulates proposed by Peano are for the set of natural numbers: not real numbers. They are:Zero is a natural number.Every natural number has a successor in the natural numbers.Zero is not the successor of any natural number.If the successor of two natural numbers is the same, then the two original numbers are the same.If a set contains zero and the successor of every number is in the set, then the set contains the natural numbers.