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Why should a real number be rational or irrational?
Because irrational numbers are defined as real numbers which are not rational.
Why does a real number have to be rational or irrational?
Because irrational numbers are defined as all real numbers which are not rational.
Is every irrational number a real number and how?
The set of real numbers is defined as the union of all rational and irrational numbers. Thus, the irrational numbers are a subset of the real numbers. Therefore, BY DEFINITION, every irrational number is a real number.
Why does any real number must be either a rational number or an irrational number?
It is due to the fact that the set of real numbers is defined as the union of the rational and irrational numbers.
Can have two real numbers if the quotient is not real number?
Yes but only if the denominator is 0 (so the quotient is not defined).
What is s in Laplace transforms?
The Laplace transform of a function f(t), defined for all real numbers t ≥ 0, is the function F(s), defined by: : The parameter s is a complex number: : with real numbers σ and ω. A complex number is defined as a number comprising a real numberpart and an imaginary number part. An imaginary number is a number in the form bi where b is a real number and i is the square root of minus one. (Wiki search)
Is the quotient of two rational numbers always a real number?
A real number is any number so yes it is always a real number * * * * * Except if the second number is 0, in which case the quotient is not defined.
Is every irrational a real number. If Yes Why?
Yes irrational numbers are real numbers that are part of the number line,
Why should a real number be rational or irrational?
Because irrational numbers are defined as real numbers which are not rational.
Why does a real number have to be rational or irrational?
Because irrational numbers are defined as all real numbers which are not rational.
Is every irrational number a real number and how?
The set of real numbers is defined as the union of all rational and irrational numbers. Thus, the irrational numbers are a subset of the real numbers. Therefore, BY DEFINITION, every irrational number is a real number.
Why does any real number must be either a rational number or an irrational number?
It is due to the fact that the set of real numbers is defined as the union of the rational and irrational numbers.
Can have two real numbers if the quotient is not real number?
Yes but only if the denominator is 0 (so the quotient is not defined).
Defined real numbers?
Real numbers encompass any number along the number line, infinitely. Integers, whole numbers, natural numbers, etc. are are real numbers.
How is an imaginary number defined?
An imaginary number is a continuous quantity that is the square root of a negative number and cannot be represented on the real number line.
Why rational number is also a real number?
Real numbers are defined as the set of rational numbers together with irrational numbers. So rationals are a subset of reals, by definition.
Is an irrational number a number that is represented by a nonrepeating decimal?
Yes, However, it is not defined that way. It is defined as a number that cannot be expressed precisely as a ratio of two real numbers (a fraction). But that is equivalent to a non-repeating decimal.
