Solving (3 − 8 ⋅ 73) − 2
This expression involves multiple operations, so we need to follow the order of operations (often remembered by the acronym PEMDAS or BODMAS) to solve it correctly.
PEMDAS/BODMAS stands for:
- Parentheses (or Brackets)
- Exponents (or Orders)
- Multiplication and Division (done from left to right)
- Addition and Subtraction (done from left to right)
Let's break down the solution step-by-step:
- Multiplication: First, we perform the multiplication inside the parentheses: 8 ⋅ 73 = 584
- Subtraction (inside parentheses): Next, we subtract within the parentheses: 3 - 584 = -581
- Subtraction: Finally, we subtract 2 from the result: -581 - 2 = -583
Therefore, (3 − 8 ⋅ 73) − 2 = -583.