Yes. There are infinitely many rational numbers between any two real numbers.
Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction. All rational numbers are real.
No. Every real number is not a natural number. Real numbers are a collection of rational and irrational numbers.
No. A real number is only one number whereas the set of rational numbers has infinitely many numbers. However, the set of real numbers does contain the set of rational numbers.
Yes, a rational number is a real number. A rational number is a number that can be written as the quotient of two integers, a/b, where b does not equal 0. Integers are real numbers. The quotient of two real numbers is always a real number. The terms "rational" and "irrational" apply to the real numbers. There is no corresponding concept for any other types of numbers.
247 is both a rational and real number. A rational number is any number that can be expressed as a fraction where the numerator and denominator are integers, and 247 can be written as 247/1. Real numbers include all rational numbers, as well as irrational numbers, and since 247 is a rational number, it falls under the category of real numbers.
Rational numbers form a proper subset of real numbers. So all rational numbers are real numbers but all real numbers are not rational.
Rational numbers are numbers that can be written as a fraction. Real numbers are any number, including irrationals.
Not necessarily. All rational numbers are real, not all real numbers are rational.
Rational numbers are a proper subset of real numbers so all rational numbers are real numbers.
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.
Between any two different real numbers, there are infinitely many rational numbers.
No. All rational numbers are real. Rational numbers are numbers that can be written as a fraction.
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.
Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction. All rational numbers are real.
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.
No. Every real number is not a natural number. Real numbers are a collection of rational and irrational numbers.
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.)