To calculate the expression \(|-4| + |-7|\), we need to find the absolute values of \(-4\) and \(-7\).

1. The absolute value of \(-4\) is 4, because the absolute value of a number is its distance from zero, which is always positive.
   
   \[
   |-4| = 4
   \]

2. Similarly, the absolute value of \(-7\) is 7.

   \[
   |-7| = 7
   \]

Now, we add these absolute values:

\[
|-4| + |-7| = 4 + 7 = 11
\]

So, the result is **11**.

Would you like more details or have any other questions?

### Related Questions:
1. What is the absolute value of a positive number?
2. How do you calculate absolute values for variables like \(|x - 5|\)?
3. What are some real-life applications of absolute values?
4. How do absolute values relate to distance on a number line?
5. How does the absolute value function behave for complex numbers?

**Tip:** The absolute value of any number \(x\) is always non-negative, meaning \(|x| \geq 0\).

Learn how to calculate absolute values and add them together in this step-by-step solution for the problem |-4| + |-7|. Explore the properties of absolute values and addition. This explanation is suitable for students in Grades 5-7.

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