https://file.aiquickdraw.com/mathbot/file/1728081006948h3whz1nw.jpg

The problem asks for the distance \( A \), which is the difference between the two points \( \frac{1}{5} \) and \( -\frac{3}{5} \) on the number line.

To find the distance between two points on a number line, we calculate the absolute value of their difference:

\[
A = \left| \frac{1}{5} - \left( -\frac{3}{5} \right) \right|
\]

Simplifying the expression:

\[
A = \left| \frac{1}{5} + \frac{3}{5} \right|
\]

Since the denominators are the same, we can add the numerators:

\[
A = \left| \frac{1+3}{5} \right| = \left| \frac{4}{5} \right|
\]

Therefore, the distance \( A \) is:

\[
A = \frac{4}{5}
\]

Would you like more details on this process? Here are some related questions to deepen understanding:

1. How do you compute the distance between two points on a number line in general?
2. Why do we use the absolute value to find distances?
3. What happens if the points on the number line have different denominators?
4. Can you provide another example of finding a distance between two points with negative values?
5. How do we interpret fractions on a number line with negative values?

**Tip**: Always remember to use absolute values when finding distances on a number line!

The number line above represents the difference of 1/5 and -3/5. What is the value of the distance A?

Learn how to calculate the distance between two points on a number line with fractions. This problem involves understanding absolute value, adding fractions, and finding distances. The example compares the points 1/5 and -3/5, providing a clear step-by-step solution.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation