Savage Hanson
06/09/2024 · Senior High School
7. \( \frac{2}{3}, \frac{1}{4} \) and \( \frac{1}{6} \) are three given rational numbers. Answer the following questions, a) List out the terminating and non-terminating recurring decimals of these rational numbers. b) What is the multiplicative identify of \( \frac{2}{3} \) ? c) Use the given rational numbers to verify the associative properties of addition and multiplication of rational numbers.
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- **Terminating decimals**: \( \frac{1}{4} = 0.25 \)
- **Non-terminating recurring decimals**: \( \frac{2}{3} = 0.\overline{6} \), \( \frac{1}{6} = 0.1\overline{6} \)
- **Multiplicative identity of \( \frac{2}{3} \)**: \( 1 \)
- **Associative properties verified**: Addition and multiplication of the given rational numbers satisfy the associative property.
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