Solving the Expression (-10) x 2 - (-7)^2
This article will guide you through solving the expression (-10) x 2 - (-7)^2. We'll break down each step and explain the order of operations.
Order of Operations: PEMDAS/BODMAS
To correctly solve mathematical expressions, we need to follow the order of operations. This is 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)
Step-by-Step Solution
- Exponents: First, we calculate (-7)^2 which is (-7) * (-7) = 49.
- Multiplication: Next, we perform the multiplication (-10) x 2 = -20.
- Subtraction: Finally, we subtract 49 from -20: -20 - 49 = -69.
Conclusion
Therefore, the solution to the expression (-10) x 2 - (-7)^2 is -69.