Pregunta
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Plot the numbers \( -2 \frac{1}{4} \) and \( \frac{7}{4} \) on the number line below.

Ask by Phillips Conner. in the United States
Mar 11,2025

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Plot \( -2 \frac{1}{4} \) and \( \frac{7}{4} \) on the number line by converting them to decimals (-2.25 and 1.75), marking the points slightly to the left of -2 and 2 respectively, and labeling them accordingly.

Solución

It seems that I cannot plot directly at the moment. However, I can guide you on how to plot the numbers \( -2 \frac{1}{4} \) and \( \frac{7}{4} \) on a number line. 1. **Convert the mixed number to an improper fraction:** - \( -2 \frac{1}{4} = -\left(2 \times 4 + 1\right)/4 = -\frac{9}{4} \) - \( \frac{7}{4} \) is already in improper fraction form. 2. **Convert to decimal for easier plotting:** - \( -2 \frac{1}{4} = -2.25 \) - \( \frac{7}{4} = 1.75 \) 3. **Draw a number line:** - Mark points for integers around the values you want to plot. For example, you can mark -3, -2, -1, 0, 1, 2, etc. 4. **Plot the points:** - For \( -2.25 \), find a point slightly to the left of -2 on the number line. - For \( 1.75 \), find a point slightly to the left of 2 on the number line. 5. **Label the points:** - Label the point at \( -2.25 \) as \( -2 \frac{1}{4} \). - Label the point at \( 1.75 \) as \( \frac{7}{4} \). This will give you a visual representation of the two numbers on the number line. If you have graph paper or a drawing tool, you can create this number line easily!

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Mind Expander

To plot the numbers \( -2 \frac{1}{4} \) and \( \frac{7}{4} \) on a number line, first convert them to improper fractions. For \( -2 \frac{1}{4} \): \[ -2 \frac{1}{4} = -\left(2 \times 4 + 1\right)/4 = -\frac{9}{4} \] For \( \frac{7}{4} \): This fraction is already in improper form. Now, \( -\frac{9}{4} \) is equal to \( -2.25 \) and \( \frac{7}{4} \) is equal to \( 1.75 \). On a number line, locate \( -2.25 \) (which is between -2 and -3) and \( 1.75 \) (which is between 1 and 2), and mark the points accordingly. The number line will have the points clearly indicated at their respective positions.

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