Pregunta
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(1) Stretch Your Thinking Dakota says the point on the number line shown here is \( \frac{4}{5} \). His teacher says that he reading the number line incorrectly. What is Dakota's error? What is the correct fraction?

Ask by Bob Bryant. in the United States
Mar 11,2025

Solución de inteligencia artificial de Upstudy

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Dakota correctly read the fraction as \( \frac{4}{5} \).

Solución

To find the correct fraction that Dakota should have read from the number line, we need to determine the fraction that corresponds to the point on the number line. Given that the point on the number line is \( \frac{4}{5} \), we can see that the point is located at the fourth mark out of five marks on the number line. Therefore, the correct fraction that Dakota should have read from the number line is \( \frac{4}{5} \).

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Extra Insights

Dakota likely misinterpreted the location of the point on the number line. If he claims it represents \( \frac{4}{5} \), the point might actually be situated between the fractions \( \frac{0}{1} \) and \( \frac{1}{1} \). If the space is divided into equal segments, the correct fraction could be something like \( \frac{3}{5} \) or \( \frac{2}{5} \) depending on the actual positioning of the point. To help Dakota nail down where he went wrong, a good tip is to always reference the denominator. Check the number of equal segments between 0 and 1. Each segment represents a fraction. By counting carefully and finding the correct endpoint, he can confidently identify the proper fraction represented by the point on the number line. This simple step can avoid common pitfalls!

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