Math Problem Statement

8/2(2+2)

Solution

The expression you're asking about is:

82(2+2)\frac{8}{2}(2 + 2)

To solve this, follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Step-by-step solution:

  1. Parentheses first:
    2+2=42 + 2 = 4

    So, the expression becomes:

    82×4\frac{8}{2} \times 4

  2. Division and multiplication from left to right:
    First, divide:

    82=4\frac{8}{2} = 4

  3. Then multiply:

    4×4=164 \times 4 = 16

So, the final answer is:

16\boxed{16}


Would you like more details on this? Here are some related questions for further exploration:

  1. How do parentheses affect the order of operations in algebraic expressions?
  2. What is the significance of PEMDAS/BODMAS in solving mathematical expressions?
  3. How can division and multiplication be handled together in expressions?
  4. What happens if the parentheses in the original problem were placed differently (e.g., 8/(2(2+2))8/(2(2+2)))?
  5. Can you provide a similar problem to practice?

Tip: Always follow the correct order of operations to avoid ambiguity when solving mathematical problems!

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Algebra
Arithmetic

Formulas

PEMDAS
BODMAS

Theorems

Order of Operations Theorem

Suitable Grade Level

Grades 6-8