Question

Difficulty: EasyIntegers, Absolute Value, and Number Lines

What integer represents the midpoint between 9-9 and 77 on a standard number line?

  1. A
    88
  2. B
    11
  3. 1-1Answer
  4. D
    2-2
  5. E
    1616

Answer

The midpoint coordinate is 1-1.
The midpoint of two numbers on a number line is their mathematical average. Adding the coordinates 9-9 and 77 gives a sum of 2-2. Dividing this sum by 22 yields the midpoint coordinate of 1-1.

Step-by-Step Solution

1
Identify the coordinates of the two endpoints on the number line.
The endpoints are 9-9 and 77.
Before calculating the midpoint, we must identify the values of the two points given in the problem.
2
Find the average of the two coordinates using the midpoint formula a+b2\frac{a + b}{2}.
9+72=22=1\frac{-9 + 7}{2} = \frac{-2}{2} = -1.
The midpoint of any two coordinates on a number line is their arithmetic mean.

Key Concept

Finding the midpoint between two integers on a number line
Estimated Time:45s
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