Questions: Plot the numbers -2 1/2 and 1 1/4 on the number line below.

Plot the numbers -2 1/2 and 1 1/4 on the number line below.
Transcript text: Plot the numbers $-2 \frac{1}{2}$ and $1 \frac{1}{4}$ on the number line below.
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Solution

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Solution Steps

Step 1: Identify the numbers to be plotted

The numbers to be plotted are \(-2 \frac{1}{2}\) and \(1 \frac{1}{4}\).

Step 2: Convert mixed numbers to improper fractions (optional)

For clarity, convert the mixed numbers to improper fractions:

  • \(-2 \frac{1}{2} = -\left(2 + \frac{1}{2}\right) = -\frac{5}{2}\)
  • \(1 \frac{1}{4} = 1 + \frac{1}{4} = \frac{5}{4}\)
Step 3: Locate the positions on the number line
  • \(-2 \frac{1}{2}\) is halfway between \(-2\) and \(-3\).
  • \(1 \frac{1}{4}\) is one-fourth past \(1\).

Final Answer

  • Plot \(-2 \frac{1}{2}\) halfway between \(-2\) and \(-3\).
  • Plot \(1 \frac{1}{4}\) one-fourth past \(1\).

Here is the number line with the points plotted:

-3   -2.5  -2   -1   0   1   1.25  2
 |----|----|----|----|----|----|----|
  • \(-2 \frac{1}{2}\) is at \(-2.5\).
  • \(1 \frac{1}{4}\) is at \(1.25\).
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