Math Problem Statement

How to find EF on a line segment with number 2.6 and 3.5

Solution

To find the length of the line segment EFEF when you have two points on a number line, such as E=2.6E = 2.6 and F=3.5F = 3.5, you simply find the absolute difference between these two points.

Step-by-Step Solution

  1. Identify the coordinates of points EE and FF:

    • Point EE has a coordinate of 2.62.6.
    • Point FF has a coordinate of 3.53.5.
  2. Apply the formula for the length of a segment on a number line: The length of a segment EFEF on a number line is given by the absolute difference between the coordinates of EE and FF:

    EF=FEEF = | F - E |

  3. Substitute the values:

    EF=3.52.6EF = |3.5 - 2.6|

  4. Calculate the difference:

    EF=0.9=0.9EF = |0.9| = 0.9

Conclusion

The measure of segment EFEF is 0.90.9 units.

Would you like to explore more details or ask any other questions? Here are some related topics you might find useful:

  1. How do you find the distance between two points on a coordinate plane?
  2. What is the absolute value, and how is it used in measuring distance?
  3. How to use number lines to understand segment lengths?
  4. How do you calculate distances in different coordinate systems (e.g., 3D space)?
  5. How does the Pythagorean theorem relate to finding distances in geometry?

Tip: When dealing with measurements on a number line, remember that the absolute value ensures that the distance is always a non-negative number.

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Math Problem Analysis

Mathematical Concepts

Number Line
Absolute Value

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8