(-4)(-2)-6(2-5)

Jasonbradley

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Jun 16, 2024

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Solving the Expression (-4)(-2) - 6(2-5)

This article will guide you through solving the mathematical expression (-4)(-2) - 6(2-5). We'll break down the process step-by-step, using the order of operations (PEMDAS/BODMAS) to ensure accuracy.

Understanding the Order of Operations

Before we dive into the problem, let's quickly recap the order of operations:

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

BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction)

Both acronyms essentially mean the same thing:

1. Parentheses/Brackets: Solve operations within parentheses or brackets first.
2. Exponents/Orders: Calculate exponents or orders next.
3. Multiplication and Division: Perform multiplication and division from left to right.
4. Addition and Subtraction: Lastly, perform addition and subtraction from left to right.

Solving the Expression

Now, let's apply PEMDAS to our expression:

1. Parentheses/Brackets: We have (2-5) inside the brackets.

   • 2 - 5 = -3

2. Multiplication: Next, we perform the multiplications.

   • (-4)(-2) = 8
   • 6(-3) = -18

3. Subtraction: Finally, we subtract the results.

   • 8 - (-18) = 8 + 18 = 26

Conclusion

Therefore, the solution to the expression (-4)(-2) - 6(2-5) is 26.

By following the order of operations, we can accurately solve mathematical expressions and avoid errors.