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What is the definition for rational and irrational?
Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
Are irrational numbers never rational numbers?
Yes, irrational numbers are never rational numbers because irrational numbers can't be expressed, by definition, as a fraction of two integers.
Are all irrational numbers are surds?
Yes. The definition of a surd is "an irrational number"
Why o10110111011110..this irrational?
It is a non-terminating, non-repeating decimal representation. That is a definition of irrational numbers.
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.
Are some irrational numbers not real?
If you can solve the 'Square root of '-1' . Then let the mathemtical world know. Mathemticians have been 'rattling' their brains over this one for centuries.
What is the definition for rational and irrational?
Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
Are irrational numbers never rational numbers?
Yes, irrational numbers are never rational numbers because irrational numbers can't be expressed, by definition, as a fraction of two integers.
Are all irrational numbers are surds?
Yes. The definition of a surd is "an irrational number"
What are the factors and prime factors of pi?
Pi is irrational. Irrational numbers, by definition, have no factors.
Why o10110111011110..this irrational?
It is a non-terminating, non-repeating decimal representation. That is a definition of irrational numbers.
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 you cannot write irrational numbers in fraction?
Because that is the definition of irrational numbers: They are the numbers that cannot be written as a ratio of two integers! A fraction is a ratio of two integers.
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 is the definition for rational numbers?
All rational numbers can also be expressed as fractions whereas irrational numbers can't be expressed as fractions.
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 is the definition of irrational?
A rational number is one that can be expressed as a ratio of two whole numbers (like a fraction). An irrational number is a real number that is not rational.
