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Every rational number is a real number

Every rational number is a real number

Question : Every rational number is

  1. A natural number
  2. An integer
  3. A real number
  4. A whole number
Solution : 
The correct option is 3. A real number
Real number is a value that represents a quantity along the number line.
Real number includes all rational and irrational numbers.
Rational numbers are numbers that can be represented in the form $\frac{p}{q}$ where,
$\mathrm{q} \neq 0$ and $\mathrm{p}, \mathrm{q}$ are integers.
Therefore, a rational number is a subset of a real number.
We know that rational and irrational numbers taken together are known as real numbers. Therefore, every real number is either a rational number or an irrational number. Hence, every rational number is a real number. Therefore, (3) is the correct answer.

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Manoj Kumar
Aug. 25, 2023, 6:35 a.m.