\( 1 \leftarrow \) Convert the following rational number into either a repeating or a terminating decimal. Use a calculator if allowed. Choose the correct answer below. A. \( 0 . \overline{6} \) B. 0.6 C. \( 6 . \overline{6} \) D. \( 2 . \overline{6} \)
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Bonus Knowledge
To convert the rational number into a decimal, you can divide the numerator by the denominator. For example, if your rational number is \( \frac{2}{3} \), dividing gives you \( 0.666...\), which is the same as \( 0.\overline{6} \). This indicates a repeating decimal where the 6 repeats infinitely. In contrast, if your rational number is \( \frac{1}{2} \), it produces a terminating decimal of \( 0.5 \). The options presented suggest a number like \( \frac{2}{3} \), leading us to the conclusion that the answer is \( 0 . \overline{6} \), which corresponds to option A!
