All rational numbers are examples of numbers which are both rational and real.
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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.
The rational numbers are a subset of the real numbers. You might recall that rational numbers are those that can be expressed as the ratio of two whole numbers (no matter how large they are). Irrational numbers, like pi, cannot. But both sets (the rational and irrational numbers) are subsets of the real numbers. In fact, when we look at all the numbers, we are looking at the complex number system. We break that down into the real and the imaginary numbers. And the real numbers have the rational and irrational numbers as subsets. It's just that simple.
No. For example, pi is a real number, but it is irrational (it cannot be converted into an exact fraction).The reverse is true, however: all rational numbers are also real numbers.
The rational numbers, since it is a proper subset of the 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.