Question

Every irrational number is ______.

Options

• a natural number

• an integer

• a rational number

• a real number

Answer 1

Every irrational number is a real number.

Explanation:

Every irrational number is not rational, natural or integer, but it is always a real number.

Real numbers include both rational and irrational numbers. 

Therefore, every irrational number is a real number.

• It is not necessarily a natural number because natural numbers are positive integers starting from 1.
• It is not an integer because integers include whole numbers and their negatives, but irrational numbers cannot be represented as integers.
• It is not a rational number by definition because irrational numbers cannot be expressed as a ratio of two integers.
• Irrational numbers are a subset of real numbers; they fill the gaps between rational numbers on the number line.