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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 normal distribution defined for all real numbers?
Yes.
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.
What are different names for Numbers?
The different names for Numbers are defined as Natural numbers, whole numbers , real numbers, decimal numbers, integers, rational numbers and irrational numbers.
Why do principal roots of negative numbers have to be different in real numbers or complex numbers?
Because in real numbers they are not defined.
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 a real number. If Yes Why?
Yes irrational numbers are real numbers that are part of the number line,
Is every normal distribution defined for all real numbers?
Yes.
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 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.
Can some numbers be rational and irrational?
No. The intersection of the two sets is null. Irrational numbers are defined as real numbers that are NOT rational.
Why is every rational number a real number?
There are rational numbers and irrational numbers. Real numbers are DEFINED as the union of the set of all rational numbers and the set of all irrational numbers. Consequently, all rationals, by definition, must be real numbers.
What are different names for Numbers?
The different names for Numbers are defined as Natural numbers, whole numbers , real numbers, decimal numbers, integers, rational numbers and irrational numbers.
How do you turn imaginary numbers into real numbers?
The imaginary number (i) is defined as the square root of -1. If you multiply i by i you get -1
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).
