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Consider the following numbers: 1. Every irrational number is a real number. 2. Every real number is a rational number. 3. Every rational number is a real number. 4. Every integer is a real number. Which of the above statements are correct?

Consider the following numbers: 1. Every irrational number is a real number. 2. Every real number is a rational number. 3. Every rational number is a real number. 4. Every integer is a real number. Which of the above statements are correct? Correct Answer 1, 3 and 4

Explanation:

Every rational number is a real number

  • A rational number is a type of rational number. It can represent the p/q form, but q is not equal to zero.
  • The numerator is integer nut denominator is not equal to zero.
  • It is a repeating decimal or terminating decimal.
  • Example – 1/3, 4/5, 12/7 etc

Every integer is a real number

  • We know that an integer is a number that can be positive, negative and zero.
  • It is also in fraction form
  • The whole number are 0, 1, 2, 3, ……….
  • In the integer do not include a decimal numbers.

Real number – It is a number containing both rational and irrational numbers.

An irrational number is a number that can not represent the p/q form. Non-terminating and non-repeating numbers.

Example - π, √11 etc.

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