Pregunta
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Plot the numbers \( -\frac{5}{6} \) and \( \frac{13}{6} \) on the number line below.

Ask by Burgess Cervantes. in the United States
Mar 13,2025

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Plot \( -\frac{5}{6} \) and \( \frac{13}{6} \) on the number line as follows: ``` -1 -0.83 0 1 2 2.17 3 -----|--------*-------------|------------|------------|---------*---------|-----> \( -\frac{5}{6} \) \( \frac{13}{6} \) ``` - \( -\frac{5}{6} \) is placed at approximately \(-0.83\). - \( \frac{13}{6} \) is placed at approximately \(2.17\).

Solución

1. First, express each number in decimal form to understand where they are located on the number line: - \( -\frac{5}{6} \approx -0.8333 \) - \( \frac{13}{6} \approx 2.1667 \) 2. Next, choose an appropriate scale for the number line. In this case, a scale that covers at least from \(-1\) to \(3\) will include both numbers comfortably. 3. On the number line: - \( -\frac{5}{6} \) (approximately \(-0.83\)) will be placed between \(-1\) and \(0\) (closer to \(-1\)). - \( \frac{13}{6} \) (approximately \(2.17\)) will be placed between \(2\) and \(3\) (closer to \(2\)). 4. Here is a representation of the number line with the appropriate marks: ``` -1 -0.83 0 1 2 2.17 3 -----|--------*-------------|------------|------------|---------*---------|-----> \( -\frac{5}{6} \) \( \frac{13}{6} \) ``` In this diagram: - The star (*) at \(-0.83\) represents \( -\frac{5}{6} \). - The star (*) at \(2.17\) represents \( \frac{13}{6} \).

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Bonus Knowledge

To plot the numbers \( -\frac{5}{6} \) and \( \frac{13}{6} \) on a number line, first identify their approximate locations relative to whole numbers. \( -\frac{5}{6} \) is just a bit less than \( 0 \) (since it’s negative), and \( \frac{13}{6} \) is a little more than \( 2 \) (because \( 2 = \frac{12}{6} \) and \( \frac{13}{6} \) is one-sixth more). 1. Start by marking the fraction \( -\frac{5}{6} \) slightly to the left of \( 0 \) on the number line. 2. Then, mark \( \frac{13}{6} \) a little beyond \( 2 \), as it is approximately \( 2.167 \). Ensure both points are clearly marked, and you can label them accordingly for clarity.

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