Question

exercises
complete the diagrams. count by ones to label the number lines.

1. plot your point on both number lines.
2. show and explain how to find the opposite of your number on both number lines.

Explanation:

Step1: Label the horizontal number line

Let's assume we choose the number 3. First, find the middle (or a reference point, often 0). Counting by ones, mark 0, then 1, 2, 3 to the right, and -1, -2, -3 to the left. Plot 3 on the horizontal line (3 units to the right of 0).

Step2: Label the vertical number line

Similarly, for the vertical line (up is positive, down is negative), mark 0 at the middle. Count up: 1, 2, 3 and down: -1, -2, -3. Plot 3 (3 units up from 0).

Step3: Find the opposite on horizontal line

The opposite of 3 is -3. On the horizontal line, -3 is 3 units to the left of 0 (same distance from 0 as 3, opposite direction).

Step4: Find the opposite on vertical line

The opposite of 3 (up) is -3 (down). On the vertical line, -3 is 3 units down from 0 (same distance from 0 as 3, opposite direction).

Answer:

(Example with number 3: Plotted 3 on both number lines (3 right on horizontal, 3 up on vertical). Opposite (-3) is 3 left on horizontal, 3 down on vertical, as opposites are equidistant from 0 in opposite directions.)