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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.
