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Why does a real number have to be rational or irrational?
Because irrational numbers are defined as all real numbers which are not rational.
Why should a real number be rational or irrational?
Because irrational numbers are defined as 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 are irrational numbers important?
pi and e are irrational numbers. Without them most of geometry, trigonometry, calculus or probability distributions would not be defined.
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.
Why does a real number have to be rational or irrational?
Because irrational numbers are defined as all real numbers which are not rational.
Why should a real number be rational or irrational?
Because irrational numbers are defined as real numbers which are not rational.
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.
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.
Is every irrational a real number. If Yes Why?
Yes irrational numbers are real numbers that are part of the number line,
Why are irrational numbers important?
pi and e are irrational numbers. Without them most of geometry, trigonometry, calculus or probability distributions would not be defined.
Can irrational numbers be defined as numbers that are not ratios?
Yes - except that you need to specify ratios of INTEGERS. pi/2 is a ratio of pi and 2 but it is irrational.
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.
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.
Are there irrational numbers that are not real numbers?
An imaginary number i is defined as the square root of -1, so if you have something like the square root of -2, the answer would be i root 2, and that would be considered an irrational non-real number.* * * * *Not quite. The fact that irrational coefficients can be used, in conjunction with i to create complex numbers (or parts of complex numbers) does not alter the fact that all irrational numbers are real numbers.
What are the solutions of irrational numbers?
They are irrational numbers!
