because it 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.
The set of real numbers is divided into rational and irrational numbers. The two subsets are disjoint and exhaustive. That is to say, there is no real number which is both rational and irrational. Also, any real number must be rational or irrational.
It is due to the fact that the set of real numbers is defined as the union of the rational and irrational numbers.
Yes, because it can be located on a number line.
Most numbers ARE rational. For instance all the integers and most real numbers are rational numbers. To be an irrational number a real number must be impossible to express as a ratio of integers.
Not necessarily. All rational numbers are real, not all real numbers are rational.
Sometimes. The number '4' is real and rational. The number 'pi' is real but not rational.
A real number dosen't have to be a rational number as a real number can be rational or irrational i.e the root of 2 is irrational and real. So is (pi).
Decimals are real. They can be rational or irrational.
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.
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.
A real number which is not a rational number is an irrational number.