Final answer:
An example of a negative number on a number line with a scale of 5 is -10. To find this on the number line, you would count two units to the left of the origin. This visualization helps differentiate between positive and negative values on the number line.
Step-by-step explanation:
If you create a number line with a scale of 5, an example of a negative number that would be on this number line could be -10. This is because when we create a number line with a specific scale, each mark or unit on the number line represents that scale value. So, if the scale is 5, one unit on the number line represents 5. To find the position of -10 on this number line, you would count two units to the left from the origin (0).
For instance, starting at zero and moving one unit to the left would bring you to -5, and then another unit to the left would be -10. It is essential to remember that on a number line, negative numbers are typically represented to the left of zero, while positive numbers are to the right.
Group Discussion: Reference Points
In a group discussion about choosing reference points on a number line, it would be beneficial to understand that a reference point serves as a starting position for measuring other points. The main advantage of choosing the origin (0) as a reference point is that it clearly distinguishes between positive and negative values on the number line, aiding in visualization of the positions and calculations involving numbers.