Cal11 calculator
Search calculator...

Find The Value of The Following Expression Calculator

Reviewed by Calculator Editorial Team

This calculator evaluates mathematical expressions following standard operator precedence rules. Enter any valid arithmetic expression to find its value.

How to Use This Calculator

To find the value of a mathematical expression:

  1. Enter your expression in the input field. The calculator supports:
    • Basic arithmetic operations: +, -, *, /
    • Parentheses for grouping: ( )
    • Exponentiation: ^
    • Decimal numbers
  2. Click the "Calculate" button to evaluate the expression.
  3. View the result in the result panel below.
  4. Use the "Reset" button to clear the input and result.

Note: The calculator follows standard mathematical order of operations (PEMDAS/BODMAS rules).

Formula Used

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

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

For example, the expression 3 + 5 * (2 - 1) is evaluated as:

3 + 5 * (1) = 3 + 5 = 8

Worked Examples

Example 1: Simple Arithmetic

Expression: 10 + 5 * 2

Calculation:

  1. Multiplication first: 5 * 2 = 10
  2. Then addition: 10 + 10 = 20

Result: 20

Example 2: Parentheses

Expression: (3 + 4) * 2

Calculation:

  1. Parentheses first: 3 + 4 = 7
  2. Then multiplication: 7 * 2 = 14

Result: 14

Example 3: Complex Expression

Expression: 2^3 + (4 * 5) / 2

Calculation:

  1. Exponentiation first: 2^3 = 8
  2. Parentheses: 4 * 5 = 20
  3. Division: 20 / 2 = 10
  4. Addition: 8 + 10 = 18

Result: 18

Frequently Asked Questions

What operators does this calculator support?
This calculator supports addition (+), subtraction (-), multiplication (*), division (/), exponentiation (^), and parentheses for grouping.
Does the calculator follow standard order of operations?
Yes, the calculator follows standard mathematical order of operations (PEMDAS/BODMAS rules).
Can I use decimal numbers in my expressions?
Yes, you can use decimal numbers in your expressions. For example, 3.5 + 2.1 will be calculated correctly.
What happens if I enter an invalid expression?
The calculator will display an error message if the expression is invalid or cannot be evaluated.
Is there a limit to the length of expressions I can enter?
The calculator can handle expressions up to a reasonable length. Very long expressions may not be supported.