Evaluate Following Expressions Calculator

This calculator evaluates mathematical expressions following standard arithmetic rules. It handles basic operations, parentheses, and operator precedence to provide accurate results. The calculator is useful for students, engineers, and anyone needing to verify calculations quickly.

How to Use This Calculator

Using the expression evaluator is simple:

Enter your mathematical expression in the input field. The calculator supports numbers, basic arithmetic operators (+, -, *, /), and parentheses.
Click the "Calculate" button to evaluate the expression.
View the result and step-by-step solution in the result panel.
Use the "Reset" button to clear the input and results.

The calculator follows standard mathematical conventions for operator precedence: multiplication and division are performed before addition and subtraction, and parentheses can be used to override this order.

Supported Operators

The calculator supports the following operators:

Addition (+)
Subtraction (-)
Multiplication (*)
Division (/)
Parentheses for grouping (( ))

Note: The calculator does not support advanced mathematical functions like exponents, square roots, or trigonometric functions. For these, consider using a scientific calculator or programming language.

Examples

Example 1: Basic Arithmetic

Expression: 3 + 5 * 2

Result: 13 (multiplication is performed before addition)

Example 2: Parentheses

Expression: (3 + 5) * 2

Result: 16 (parentheses change the order of operations)

Example 3: Complex Expression

Expression: 10 - (4 + 2) * 3 / 2

Result: 2 (operations are performed according to standard precedence rules)

Formula Used

The calculator evaluates expressions using standard arithmetic rules. The evaluation follows these steps:

1. Parentheses are evaluated first, from left to right.
2. Multiplication and division are performed next, from left to right.
3. Addition and subtraction are performed last, from left to right.

For example, the expression 2 + 3 * 4 is evaluated as 2 + (3 * 4), resulting in 14.

Frequently Asked Questions

What types of expressions can this calculator evaluate?

This calculator evaluates basic arithmetic expressions with numbers, the operators +, -, *, /, and parentheses. It does not support advanced mathematical functions.

How does the calculator handle operator precedence?

The calculator follows standard mathematical rules: multiplication and division are performed before addition and subtraction, and parentheses can be used to override this order.

Can I use negative numbers in my expressions?

Yes, you can use negative numbers in your expressions. For example, you can enter -5 + 3 to get -2.

What happens if I enter an invalid expression?

If you enter an invalid expression (e.g., a division by zero or unbalanced parentheses), the calculator will display an error message.