Math Problem Statement

Solve

Find the distance from A to B. Give an exact answer if possible. Otherwise, give an estimate.

Solution

To solve this problem, we need to find the distance between point AA and point BB on the given number line.

Steps:

  1. Identify the positions of AA and BB on the number line.

    • AA is located at 55.
    • BB is located at 1515.
  2. Use the formula for the distance between two points on a number line: Distance=BA\text{Distance} = |B - A|

  3. Substitute the values of AA and BB: Distance=155=10\text{Distance} = |15 - 5| = 10

Final Answer:

The exact distance between AA and BB is 10 units.

Would you like additional clarification or a further breakdown?


Related Questions:

  1. What is the general formula for calculating distance on a number line?
  2. How would the calculation change if AA were negative?
  3. Can this formula be used for points in two-dimensional space? If not, why?
  4. What is the purpose of absolute value in the distance formula?
  5. How would you estimate the distance if the number line weren't clear?

Tip:

Always ensure you are reading the positions on the number line carefully to avoid errors in identifying AA and BB.

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Math Problem Analysis

Mathematical Concepts

Distance on a number line
Absolute value

Formulas

Distance = |B - A|

Theorems

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Suitable Grade Level

Grade 5-6