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a whole number is a(n) ________ number. circle: rational or irrational

Question

a whole number is a(n) ________ number.
circle: rational or irrational

Explanation:

To determine if a whole number is rational or irrational, we recall the definitions:

  • A rational number is any number that can be expressed as \(\frac{p}{q}\) where \(p\) and \(q\) are integers and \(q

eq0\).

  • A whole number (e.g., \(0, 1, 2, 3, \dots\)) can be written as \(\frac{\text{whole number}}{1}\), which fits the form of a rational number.
  • Irrational numbers cannot be expressed as a fraction of two integers (e.g., \(\sqrt{2}\), \(\pi\)). Whole numbers do not fit this category.

Answer:

Circle: rational