Juanita constructed a number line to test her brother’s understanding of opposites. She tested him on all points that were labeled with letters. Her brother had trouble representing the opposite of point A.

A number line going from negative 20 to positive 20 in increments of 5. The points are: negative 20, blank, A, B, 0, 5, C, blank, D.

Which represents the opposite of Point A?
Negative (negative 10)
Negative (negative 5)
0
Negative (10)

1 answer

To find the opposite of Point A on the number line, we need to determine what position Point A holds on the line from negative 20 to positive 20.

The provided number line intervals and positioning are as follows:

  • Negative 20
  • Blank
  • A
  • B
  • 0
  • 5
  • C
  • Blank
  • D

Since we do not have specific values for A, B, C, and D, we cannot calculate the opposite directly. However, if we're looking for the opposite of a point (let's say Point A is at a certain position \( x \)), the opposite of that point would be found at \( -x \).

From your options:

  • Negative (negative 10) → This represents 10
  • Negative (negative 5) → This represents 5
  • 0 → Zero, which is its own opposite
  • Negative (10) → This represents -10

Now, generally speaking, if A is a positive number, the opposite will be a negative number of the same absolute value and vice versa.

Given that we don't know the specific value of A, we cannot definitively determine which of the options given represents the opposite of A without knowing where A is on the number line.

However, if A happens to be a point like 10, then its opposite would indeed be Negative (10). If A is at 5, its opposite would be Negative (negative 5).

Since A is not defined, it's important to note: if Point A is, for example, positive, then the opposite must be negative, and if A is negative, the opposite will be positive.

To summarize:

  • If A is a positive position on the number line, the opposite would be a negative value.
  • If A is a negative position, the opposite would be a positive value.

Without knowing the specific position of A, I cannot definitively answer which option represents its opposite.

To find the best answer from the choices, identify where A is positioned on your number line and pick the corresponding opposite.