Math Problem Statement

Consider the expression \(\frac{|6-9|}{3} + 6\). What is the result of the first simplification that would need to take place, according to the order of operations?

Solution

The expression shown in the image is:

693+6\frac{|6 - 9|}{3} + 6

To simplify this expression, we follow the order of operations (PEMDAS/BODMAS):

  1. Parentheses: First, simplify the expression inside the absolute value.
    • 69=36 - 9 = -3
    • 3=3| -3 | = 3 (Absolute value makes it positive).

So, the expression becomes:

33+6\frac{3}{3} + 6

The first step of simplification is: 69=3|6 - 9| = 3.

Would you like to proceed with further steps or have any questions?

Here are some related questions:

  1. What is the next operation after simplifying the absolute value?
  2. How does the absolute value function work in expressions?
  3. What role does division play in this expression?
  4. What happens when

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Math Problem Analysis

Mathematical Concepts

Absolute Value
Order of Operations
Basic Arithmetic

Formulas

|x| for absolute value
Division
Addition

Theorems

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Suitable Grade Level

Grade 6-8