Question

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?

1. 1, 2 and 3
2. 1, 3 and 4
3. 2 and 3 only
4. 3 and 4 only

Answer 1

Correct Answer - Option 2 : 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.