Subjects algebra

Recurring Decimal Add8D2

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1. The problem asks us to identify which number is not equal to a recurring decimal. 2. A recurring decimal is a decimal number that has one or more repeating digits or a repeating pattern of digits after the decimal point. 3. For example, $\frac{2}{11} = 0.181818...$ is a recurring decimal because the digits "18" repeat indefinitely. 4. The image suggests a curved arrow from $\frac{2}{11}$ pointing to $\frac{2}{3}$. 5. Let's check $\frac{2}{3}$: dividing 2 by 3 gives $0.6666...$, which is also a recurring decimal. 6. To find which number is not a recurring decimal, we need to consider numbers that have a terminating decimal or a non-repeating decimal expansion. 7. Since both $\frac{2}{11}$ and $\frac{2}{3}$ are recurring decimals, the correct answer must be a number that does not have a repeating decimal expansion. 8. Therefore, the number that is not equal to a recurring decimal is any number with a terminating decimal or irrational decimal expansion. Final answer: The number that is not equal to a recurring decimal is the one that does not have repeating digits after the decimal point, such as a terminating decimal or an irrational number.