Order of Operations: Solving (-4)(-2)-6(2-5)
The order of operations, often remembered by the acronym PEMDAS or BODMAS, helps us solve mathematical expressions in a consistent way. Let's break down how to solve the expression (-4)(-2)-6(2-5).
PEMDAS/BODMAS
- Parentheses (or Brackets)
- Exponents (or Orders)
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
Solving the Expression
-
Parentheses: First, we simplify the expression inside the parentheses:
- (2 - 5) = -3
-
Multiplication: Next, we perform the multiplications:
- (-4)(-2) = 8
- -6(-3) = 18
-
Subtraction: Finally, we subtract:
- 8 - 18 = -10
Conclusion
Therefore, the solution to the expression (-4)(-2)-6(2-5) is -10. By following the order of operations, we ensure that we arrive at the correct answer.