Assessing Rational and Irrational Numbers

Medium Number And Operations Rational And Irrational Numbers

In the context of rational and irrational numbers, which of the following statements is true?

Consider the definitions:

A rational number can be expressed as a fraction where both the numerator and denominator are whole numbers.
An irrational number cannot be expressed as a fraction of whole numbers.

Evaluate each of the following statements:

Every integer is a rational number.

The sum of two irrational numbers is always irrational.

The product of a rational number and an irrational number is always rational.

A repeating decimal is always an irrational number.

The square of an irrational number is always irrational.

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