Math Problem Statement

Find the distance between 13 and 0 on the real number line

Solution

The distance between two points on the real number line is found by taking the absolute value of the difference between those points. So, for points a=13a = 13 and b=0b = 0, the distance dd is:

d=ab=130=13=13d = |a - b| = |13 - 0| = |13| = 13

Thus, the distance between 13 and 0 on the real number line is 13.

Would you like more details or have any questions?

Here are related questions to explore:

  1. How do you find the distance between any two points on the real number line?
  2. What is the formula for finding the distance between points in a 2D coordinate plane?
  3. How do absolute values impact distance calculations on a number line?
  4. How do you calculate the midpoint between two points on a number line?
  5. What would be the distance between -13 and 0 on the real number line?

Tip: For any two points on a line, taking the absolute difference ensures the distance is always positive.

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Math Problem Analysis

Mathematical Concepts

Absolute Value
Real Number Line
Distance Calculation

Formulas

Distance formula on a real number line: d = |a - b|

Theorems

Absolute Value Properties

Suitable Grade Level

Grades 6-8