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Calculator with Parentheses and Negative Sign

Reviewed by Calculator Editorial Team

This calculator helps you evaluate mathematical expressions that include parentheses and negative signs. It follows standard mathematical order of operations (PEMDAS/BODMAS) to ensure accurate results.

How to Use This Calculator

Enter your mathematical expression in the input field. The calculator will evaluate the expression according to standard mathematical rules:

  1. Parentheses (from innermost to outermost)
  2. Exponents
  3. Multiplication and Division (from left to right)
  4. Addition and Subtraction (from left to right)

The calculator handles negative numbers correctly when they appear after operators or within parentheses. For example, "5 * (-3 + 2)" will correctly evaluate to -5.

Tip: Use parentheses to group operations and clarify the order of calculations. Negative signs must be explicitly included in the expression.

Formula Used

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

1. Parse the input string to identify numbers, operators, and parentheses.

2. Apply the order of operations (PEMDAS/BODMAS):

  • Evaluate expressions inside parentheses first
  • Calculate exponents
  • Perform multiplication and division from left to right
  • Perform addition and subtraction from left to right

3. Return the final result as a numerical value.

The calculator uses JavaScript's built-in eval() function for evaluation, which follows these rules. For security, the input is sanitized to prevent code injection.

Worked Examples

Example 1: Simple Expression

Expression: 5 + 3 * 2

Calculation:

  1. Multiplication first: 3 * 2 = 6
  2. Then addition: 5 + 6 = 11

Result: 11

Example 2: Parentheses and Negative Numbers

Expression: (-4 + 2) * 3

Calculation:

  1. Parentheses first: -4 + 2 = -2
  2. Then multiplication: -2 * 3 = -6

Result: -6

Example 3: Complex Expression

Expression: 10 - (5 * (3 - 2) + 1)

Calculation:

  1. Innermost parentheses: 3 - 2 = 1
  2. Next operation: 5 * 1 = 5
  3. Addition inside parentheses: 5 + 1 = 6
  4. Final subtraction: 10 - 6 = 4

Result: 4

Frequently Asked Questions

Can I use decimal numbers in the calculator?
Yes, the calculator accepts decimal numbers in expressions. For example, "3.5 * (2 + 1.2)" will work correctly.
What happens if I enter an invalid expression?
The calculator will display an error message if the expression is not properly formatted or contains invalid characters.
Does the calculator handle exponentiation?
Yes, the calculator follows standard order of operations, including exponentiation. For example, "2^3" will evaluate to 8.
Can I use the calculator for scientific notation?
Yes, you can use scientific notation like "1.2e3" which equals 1200. The calculator will evaluate it correctly.
Is there a limit to how long the expression can be?
The calculator can handle reasonably long expressions, but very complex expressions might not display properly in the result area.