Question

Which two numbers plotted on a vertical number. Line could be combined to half of sum of zero. Explain how you know.I’m

Answer 1

To find two numbers on a vertical number line that, when combined, equal half of the sum of zero, we need to analyze the situation mathematically.

1. **Sum of Zero**: The sum of zero is simply \(0\).

2. **Half of Zero**: Half of the sum of zero is also \(0\).

The problem is asking for two numbers whose combination gives us \(0\).

To satisfy this condition, we can select any two numbers that are opposites (negatives of each other). For example:

- Let’s take \(a\) and \(-a\) (where \(a\) is any number). For instance, if \(a = 3\):
- The two numbers are \(3\) and \(-3\).
- When combined (added together), they give us:
\[
3 + (-3) = 0.
\]

Thus, we've shown that combining \(3\) and \(-3\) results in \(0\), which is indeed half of the sum of \(0\).

In summary, any pair of numbers that are equal in magnitude but opposite in sign (like \(a\) and \(-a\)) will satisfy the condition of combining to equal half of the sum of zero, which is \(0\).