Question

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plot the following numbers on the number line: -4, -1/2, 0, 1 1/2, 3

Explanation:

Step1: Order the given numbers

First, arrange the numbers from smallest to largest:
$-4, -\frac{1}{2}, 0, 1\frac{1}{2}, 3$

Step2: Mark number line intervals

Divide the number line into equal intervals. For this set, mark integers $-4, -3, -2, -1, 0, 1, 2, 3$ first, then add midpoints between integers for the fractional values.

Step3: Plot each number

• Place a dot at $-4$ (4 units left of 0)
• Place a dot at $-\frac{1}{2}$ (midway between $-1$ and $0$)
• Place a dot at $0$ (the origin)
• Place a dot at $1\frac{1}{2} = \frac{3}{2}$ (midway between $1$ and $2$)
• Place a dot at $3$ (3 units right of 0)

Answer:

The numbers are plotted on the number line in the order: $-4$ (leftmost), $-\frac{1}{2}$, $0$, $1\frac{1}{2}$, $3$ (rightmost), with each point positioned at its corresponding value on the labeled number line.