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examples: 1, 2, 0, -5, sqrt(2), pi etc.
real numbers means numbers on the real plane.
the opposite of real numbers are imaginary numbers which takes the format of ai, in which the i is the imaginary unit
they do not exist on the real plane, but only on the imaginary plane. they can be found by square-rooting a negative number, e.g. sqrt(-4)=2i
usually imaginary numbers are used with real numbers, with the format a+bi, and this is called complex numbers.
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What number is both real and irrational?
All irrational numbers are Real numbers - it's part of the definition of an irrational number. Imaginary numbers are neither rational nor irrational. An example of a number that is both Real and irrational is the square root of two. Another example is the number pi.
What do you mean that an operation is commutative?
It means that when you exchange the two operands, the result doesn't change. Example 1: For any two real numbers, a + b = b + a. In the real numbes, addition is commutative. Example 2: For any two real numbers, ab = ba. In the real numbers, multiplication is commutative. Example 3: For square matrixes, AB is not the same as BA. Multiplication of matrixes is NOT commutative. Example 4: For vectors, a x b = - b x a. The cross product of vectors is NOT commutative.
Does every undefined value of fx lead to a vertical asymptote?
No. For example, in real numbers, the square root of negative numbers are not defined.
What is the set of numbers including all irrational and rational numbers?
real numbers
What is An equation that is true for NO values of the variable.?
It is an equation which is insoluble in its domain. However, it may be soluble in a bigger domain.For example, x2 = 2 has no solution in the domain of rational numbers but it does in the real numbers, orx2 = -2 has no solution in the domain of real number but it does in imaginary numbers.
