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Determine if 0.71875 is rational or irrational and give a reason for your answer, Answer The number 0.71875 is \( \quad \) because

Ask by Campbell Chandler. in the United States
Dec 18,2024

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0.71875 is rational because it can be expressed as the fraction 71875/100000.

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The Deep Dive

The number 0.71875 is rational because it can be expressed as a fraction. Specifically, it is equal to \( \frac{71875}{100000} \), which simplifies to \( \frac{115}{184} \) after reducing the fraction. Since it can be represented as the quotient of two integers, it meets the criteria for rational numbers. Additionally, any decimal that terminates or repeats is classified as rational. Since 0.71875 terminates after five decimal places, it falls into this category and is indeed rational.

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