Math Problem Statement

Find the distance between points A and C on the number line.

Solution

In the image, the task is to find the distance between points AA and CC on the number line.

From the number line:

  • AA is located at 8-8
  • CC is located at 44

To find the distance between two points on a number line, we use the formula: Distance=CA\text{Distance} = |C - A|

Substituting the values: Distance=4(8)=4+8=12=12\text{Distance} = |4 - (-8)| = |4 + 8| = |12| = 12

Therefore, the distance ACAC is 12 units.

Would you like more details or have any other questions?

Here are five related questions:

  1. How would you calculate the distance between points BB and DD?
  2. Can you explain why the absolute value is used when finding distances?
  3. What is the distance from AA to BB?
  4. How would you represent the distance between any two points XX and YY algebraically?
  5. What are some real-life applications of finding distances on a number line?

Tip: Always double-check whether both points are positive or negative, as that affects the distance calculation.

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Math Problem Analysis

Mathematical Concepts

Geometry
Number Line

Formulas

Distance = |C - A|

Theorems

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Suitable Grade Level

Grades 6-8