Math Problem Statement

What is the first step to solve the equation 3 + (3 + 8) - 2?

Solution

The question in the image asks, "What is the first step to solve the equation 3+(3+8)23 + (3 + 8) - 2?"

To solve this equation, you should follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

Step-by-Step Breakdown:

  1. Parentheses: You first need to solve the expression inside the parentheses (3+8)(3 + 8).
  2. Evaluate 3+83 + 8: The result is 1111.
  3. Rewrite the equation: After solving inside the parentheses, the equation becomes 3+1123 + 11 - 2.

Based on this, the correct first step is to evaluate the expression inside the parentheses.

The answer corresponding to this step is: 3+1123 + 11 - 2

This matches option B from the provided choices.

Would you like further details or have any other questions? Here are some related questions you might find useful:

  1. What are the next steps to fully solve the equation after simplifying the parentheses?
  2. Why is it important to follow the order of operations?
  3. How would the answer change if the equation included exponents?
  4. Can you give another example of an equation that involves multiple steps?
  5. What would happen if we ignored the order of operations in a complex equation?

Tip: Always tackle the operations within parentheses first before moving on to other operations.

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Basic Arithmetic

Formulas

PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction)

Theorems

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Suitable Grade Level

Grades 4-6