(1+5)⋅2−5 ⋅2

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression: (1 + 5) ⋅ 2 - 5 ⋅ 2

This article will explore the simplification of the mathematical expression (1 + 5) ⋅ 2 - 5 ⋅ 2. We will walk through the steps using the order of operations (often remembered by the acronym PEMDAS or BODMAS) to arrive at the solution.

Order of Operations: PEMDAS

PEMDAS stands for:

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

This order ensures consistent results when evaluating mathematical expressions.

Simplifying the Expression

1. Parentheses: First, we simplify the expression inside the parentheses: (1 + 5) = 6

2. Multiplication: Next, we perform the multiplications from left to right:

   • 6 ⋅ 2 = 12
   • 5 ⋅ 2 = 10

3. Subtraction: Finally, we subtract the results:

   • 12 - 10 = 2

Conclusion

Therefore, the simplified expression (1 + 5) ⋅ 2 - 5 ⋅ 2 equals 2. By following the order of operations, we arrived at the correct solution. Remember that understanding and applying PEMDAS is crucial for accurately solving complex mathematical expressions.