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Determine if 0.68 is rational or irrational and give a reason for your answer.

Sagot :

I believe it is, because the decimal is not endless

0.68 is a rational number because it is a finite decimal number.

0.68 is a rational number because it is a finite decimal number and all finite decimal numbers have undoubtly an equivalent rational number, that is, a real number of the form [tex]\frac{a}{b}[/tex], where [tex]a \in \mathbb{R}[/tex] and [tex]b \in \mathbb{R} - \{0\}[/tex]. In this case, 0.68 is equivalent to the rational number [tex]\frac{68}{10} = \frac{34}{5}[/tex].

In a nutshell, 0.68 is a rational number because it is a finite decimal number.

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