The Parentheses Calculator is not just any tool; it is your go-to assistant for handling complex mathematical expressions. By systematically breaking down and solving parts of an expression within parentheses, this calculator ensures that the integrity and accuracy of your calculations are maintained.
Formula of Parentheses Calculator
Evaluating Innermost Parentheses
The heart of the Parentheses Calculator lies in its ability to tackle expressions from the inside out. It starts with the most nested set of parentheses, solving the operations within and then replacing the entire parentheses with the numerical result. This methodical reduction continues until no parentheses remain.
Following the Order of Operations
After dealing with parentheses, the calculator adheres strictly to the order of operations, commonly remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). This sequence ensures that all mathematical operations are executed correctly, leading to a reliable final result.
Table of General Terms
| Expression | Description | Result |
|---|---|---|
| (2+3)*(4+5) | Adding within parentheses, then multiplying | 45 |
| ((1+2)*3)**2 | Nested parentheses, followed by exponent | 81 |
| (15-5)/(2+3) | Subtract in parentheses, divide the result | 2 |
| (7+8)*(3-1) | Multiple operations inside parentheses | 30 |
| 3*(2+(8/4)) | Mix of addition, division inside parentheses | 12 |
| ((3**2)+4)/(2*2) | Exponents, addition, and division | 4.75 |
| 6/((18/3)-3) | Division inside nested parentheses | 1 |
| (12*2)-((3+1)*4) | Combination of multiplication and subtraction | 12 |
| (50/(5*2))*3 | Division followed by multiplication | 15 |
| ((2*4)+(3*5))**2 | Mixed operations with exponentiation | 361 |
Example of Parentheses Calculator
Consider the expression: ((3+5)*2)^(2+1). Using our Parentheses Calculator, the first step is to solve the expression within the innermost parentheses:
- Solve (3+5) to get 8.
- Multiply by 2 to get 16.
- Solve (2+1) to get 3.
- Finally, raise 16 to the power of 3 to achieve 4096. This step-by-step simplification is visually demonstrated to ensure you grasp the concept fully.
Most Common FAQs
Simply type your mathematical expression into the calculator. Use standard mathematical symbols for operations.
The Calculator is capable of handling all basic arithmetical operations, including powers and roots.
Ensure all parentheses are correctly pair, and the order of operations is properly follow.