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The set of rational numbers is a subset of the set of real numbers. That means that every rational number is a real number, but not every real number is rational. The square root of 2 is an example of a real number that isn't rational; that is, it can't be expressed as the quotient of two integers.
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What is the relationship between real number and rational number?
Rational numbers form a proper subset of real numbers. So all rational numbers are real numbers but all real numbers are not rational.
If a number is a real number then is it a rational number?
Not necessarily. All rational numbers are real, not all real numbers are rational.
Why the rational number 10 is also a real number?
Rational numbers are a proper subset of real numbers so all rational numbers are real numbers.
Is -3 a rational number and a real number?
Yes. -3 is both rational and real. -3 is an integer. All integers are rational numbers. All rational numbers are real numbers. Thus -3 is a rational number and a real number.
Is 0 an example of a rational number that is not a real number?
No. All rational numbers are real. Rational numbers are numbers that can be written as a fraction.
What is the relationship between real number and rational number?
Rational numbers form a proper subset of real numbers. So all rational numbers are real numbers but all real numbers are not rational.
If a number is a real number then is it a rational number?
Not necessarily. All rational numbers are real, not all real numbers are rational.
Why the rational number 10 is also a real number?
Rational numbers are a proper subset of real numbers so all rational numbers are real numbers.
Is -3 a rational number and a real number?
Yes. -3 is both rational and real. -3 is an integer. All integers are rational numbers. All rational numbers are real numbers. Thus -3 is a rational number and a real number.
Is 0 an example of a rational number that is not a real number?
No. All rational numbers are real. Rational numbers are numbers that can be written as a fraction.
Is a real number a rational number?
Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction. Not all real numbers are rational.
Real number is a rational number?
Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction. Not all real numbers are rational.
Is rational number a real number?
Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction. All rational numbers are real.
Is every real number is rational?
No. Every real number is not a natural number. Real numbers are a collection of rational and irrational numbers.
What is the relationship between irrational numbers and rational numbers?
An irrational number is a number that can't be expressed by a fraction having integers in both its numerator and denominator. A rational number can be.
Is a real number sometimes a rational number?
Infinitely rarely, a real number is also a rational number. (There are an infinite number of rational numbers, but there are a "much bigger infinity" of real numbers.)
A real number must be a rational number?
Not all real numbers are rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
