Number Line Math Example 4

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Example 4

easy
On a number line, point AA is at โˆ’4-4 and point BB is at 66. Find the midpoint of ABAB and the distance ABAB.

Solution

  1. 1
    Distance =โˆฃ6โˆ’(โˆ’4)โˆฃ=โˆฃ10โˆฃ=10= |6 - (-4)| = |10| = 10.
  2. 2
    Midpoint =โˆ’4+62=22=1= \dfrac{-4 + 6}{2} = \dfrac{2}{2} = 1.

Answer

Distance =10= 10; midpoint =1= 1.
The distance between two points on a number line is the absolute value of their difference. The midpoint is the average of the two coordinates, landing exactly halfway between them on the number line.

About Number Line

A straight line where each point represents a number, with equal spacing giving a visual model of all real numbers. The number line extends infinitely in both directions, with negative numbers to the left of zero and positive numbers to the right, providing a geometric representation of order and distance.

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More Number Line Examples