Solving the Mathematical Expression: (5x2-9)+2x1/2
This article will guide you through the process of solving the mathematical expression (5x2-9)+2x1/2. We will break down the solution step-by-step, focusing on order of operations and simplifying the expression.
Order of Operations
To solve this expression correctly, we need to follow the order of operations, often remembered by the acronym 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
-
Parentheses/Brackets: First, we solve the expression within the parentheses:
- 5 x 2 = 10
- 10 - 9 = 1
- So, the expression becomes: (1) + 2 x 1/2
-
Multiplication/Division: Next, we perform the multiplication and division from left to right:
- 2 x 1/2 = 1
- The expression now becomes: 1 + 1
-
Addition/Subtraction: Finally, we perform the addition:
- 1 + 1 = 2
Answer
Therefore, the solution to the expression (5x2-9)+2x1/2 is 2.