Evaluate an Expression
Supported items include parentheses, powers, percentages, constants, and functions like sqrt(), sin(), and log().
Quick examples
Formula Used
PEMDAS applies operations in a strict sequence. The calculator first resolves grouped values, then exponents, then multiplication and division, and finally addition and subtraction.
| Priority | Rule | Example |
|---|---|---|
| 1 | Parentheses and grouped terms | (6 + 2) |
| 2 | Exponents and powers | 4^3 |
| 3 | Multiplication, division, and percentage conversion | 8/2, 25% |
| 4 | Addition and subtraction | 15 - 7 + 4 |
Core mathematical forms
Exponent: a^b
Percentage: x% = x / 100
Functions: sqrt(x), abs(x), sin(x), cos(x), tan(x), log(x), and ln(x)
How to Use This Calculator
- Type a mathematical expression into the input area.
- Use parentheses whenever you want to force a group first.
- Select your preferred decimal places for the displayed answer.
- Choose degrees or radians before using trigonometric functions.
- Tick the step option to inspect how the order of operations was applied.
- Press Calculate to show the answer above the form.
- Use the export buttons to save the current result as CSV or PDF.
Example Data Table
| Expression | Answer | Why It Works |
|---|---|---|
(7+5)*3 |
36 | Parentheses resolve before multiplication. |
2(3+4)^2 |
98 | Grouping, then exponent, then implicit multiplication. |
sqrt(81)+4*3 |
21 | Square root is resolved before multiplication and addition. |
50%+0.75 |
1.25 | The percent symbol converts 50 to 0.50. |
sin(30)+cos(60) |
1 | In degree mode, both function values equal 0.5. |
FAQs
1. What does PEMDAS mean?
PEMDAS stands for parentheses, exponents, multiplication, division, addition, and subtraction. It helps you evaluate mixed expressions in a consistent order.
2. Does the calculator support negative numbers?
Yes. It handles unary plus and unary minus, so expressions like -3^2 and (-3)^2 are interpreted correctly.
3. Can I use percentages inside expressions?
Yes. A value followed by % is converted to its fractional form. For example, 25% becomes 0.25.
4. What functions are available?
The calculator supports sqrt, abs, log, ln, sin, cos, and tan.
5. Does it allow implicit multiplication?
Yes. It interprets nearby grouped values as multiplication, so entries like 2(3+4) work without typing the multiplication symbol.
6. Why is there an angle mode option?
Trigonometric functions need a unit system. Choose degrees for classroom-style inputs like sin(30), or radians for scientific expressions.
7. What happens when the expression is invalid?
The page shows a clear error message for unsupported characters, bad number formats, mismatched parentheses, domain problems, or division by zero.
8. Can I save the result for reports or assignments?
Yes. Use the built-in export buttons to download the visible result as a CSV file or a PDF snapshot.