https://file.aiquickdraw.com/mathbot/file/1727235436699zdukla6i.jpg

Let's solve the two absolute value problems in the image:

### (a) \(|-6 + 9|\)
1. First, perform the operation inside the absolute value brackets:
   \[
   -6 + 9 = 3
   \]
2. Now, apply the absolute value, which is the distance of a number from zero on the number line (i.e., always positive):
   \[
   |3| = 3
   \]

So, the result of \(|-6 + 9|\) is **3**.

### (b) \(|-6| + 9\)
1. Begin by evaluating the absolute value of \(-6\):
   \[
   |-6| = 6
   \]
2. Now, add 9 to the result:
   \[
   6 + 9 = 15
   \]

So, the result of \(|-6| + 9\) is **15**.

If you'd like more detailed explanations or have any questions, feel free to ask!

---

Here are 5 related questions you might consider:
1. What is the absolute value of \(-10\)?
2. How does the order of operations affect solving absolute value equations?
3. What is the result of \(|4 - 8|\)?
4. Can absolute value ever be negative?
5. How would you solve an equation involving multiple absolute values, such as \(|x| + |y|\)?

**Tip:** Always simplify the expression inside the absolute value first before applying the absolute value function.

Evaluate the following: (a) |-6 + 9| and (b) |-6| + 9

Learn how to evaluate absolute value expressions such as |-6 + 9| and |-6| + 9 with a detailed, step-by-step solution. Understand the properties of absolute value and operations with integers. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation