(12+6-5x3)x(2x2+1-7+2)

Jasonbradley

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Jun 16, 2024

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Solving the Mathematical Expression: (12 + 6 - 5 x 3) x (2 x 2 + 1 - 7 + 2)

This article will guide you through solving the mathematical expression (12 + 6 - 5 x 3) x (2 x 2 + 1 - 7 + 2). We'll break down the expression step-by-step to understand the order of operations and arrive at the final answer.

Understanding Order of Operations (PEMDAS/BODMAS)

Before we begin, let's recall the order of operations, often remembered by the acronyms PEMDAS or BODMAS:

• Parentheses (or Brackets)
• Exponents (or Orders)
• Multiplication and Division (from left to right)
• Addition and Subtraction (from left to right)

This order ensures that we solve complex expressions consistently and arrive at the correct answer.

Solving the Expression

Let's solve our expression step-by-step:

1. Solve the parentheses first:

   • (12 + 6 - 5 x 3):
     • Multiplication first: 5 x 3 = 15
     • Then, addition and subtraction from left to right: 12 + 6 - 15 = 3
   • (2 x 2 + 1 - 7 + 2):
     • Multiplication first: 2 x 2 = 4
     • Then, addition and subtraction from left to right: 4 + 1 - 7 + 2 = 0

2. Now we have: 3 x 0

3. Multiplication: 3 x 0 = 0

Therefore, the solution to the expression (12 + 6 - 5 x 3) x (2 x 2 + 1 - 7 + 2) is 0.