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The Irrational Numbers are real numbers. An irrational number is one that cannot be written as a fraction (ie, they have an infinite, non-repeating sequence of decimal places), such as pi. Most square roots are also irrational, like the square root of 2 for example.
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If a number is a real number then is it also an irrational number?
No. All irrational numbers are real, not all real numbers are irrational.
Are some irrational numbers not real?
No. Irrational numbers by definition fall into the category of Real Numbers.
Are all irrational numbers real number?
All irrational numbers are real, but not all real numbers are irrational.
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 number also real?
Yes, every irrational number is also a real number. Real numbers include all the numbers on the number line, which consists of both rational and irrational numbers. Rational numbers can be expressed as fractions, whereas irrational numbers cannot be expressed as simple fractions. So, while all irrational numbers are real numbers, not all real numbers are irrational—some are rational.
Are real numbers irrational numbers?
No, but the majority of real numbers are irrational. The set of real numbers is made up from the disjoint subsets of rational numbers and irrational numbers.
True or false irrational numbers are not real numbers?
False. Irrational numbers are real numbers.
If a number is a real number then is it also an irrational number?
No. All irrational numbers are real, not all real numbers are irrational.
Is an irrational number cannot be a real number?
Irrational numbers are real numbers.
Are some irrational numbers not real?
No. Irrational numbers by definition fall into the category of Real Numbers.
Are all irrational numbers real number?
All irrational numbers are real, but not all real numbers are irrational.
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.
Can all real numbers be irrational?
Irrational numbers are real numbers because they are part of the number line.
Are imaginary numbers irrational numbers?
No. Irrational numbers are real numbers, therefore it is not imaginary.
Is an irrational number a real number?
An irrational number is any real number that cannot be expressed as a ratio of two integers.So yes, an irrational number IS a real number.There is also a set of numbers called transcendental numbers, which includes both real and complex/imaginary numbers. Of this set, all the real numbers are irrational numbers.
Is every irrational number also real?
Yes, every irrational number is also a real number. Real numbers include all the numbers on the number line, which consists of both rational and irrational numbers. Rational numbers can be expressed as fractions, whereas irrational numbers cannot be expressed as simple fractions. So, while all irrational numbers are real numbers, not all real numbers are irrational—some are rational.
How are rational and irrational numbers alike?
Both irrational and rational are real. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
