Quick answer: With angles in degrees, 2^10 + sin(30) × √16 = 1,024 + 0.5 × 4 = 1,026: powers and roots come first, then multiplication, then addition.
How it's calculated
The calculator follows the standard order of operations: brackets first, then powers and roots, then multiplication and division from left to right, then addition and subtraction. Powers group from the right, so 2^3^2 = 2^9 = 512, and −2^2 = −4.
Choose degrees or radians for sin, cos and tan and their inverses. sin(30) is 0.5 in degrees but −0.988 in radians. A number next to a bracket or a constant multiplies it: 2π = 6.283… and 3(4 + 1) = 15.
ln is the natural logarithm (base e) and log is base 10. For logs in any base use the log calculator; for exact work with very large whole numbers use the big number calculator.
Worked examples
- Degrees: 2^10 + sin(30) × √16 = 1,026
- Logs and constants: ln(e) + log(1000) = 1 + 3 = 4
- Factorial: 5! ÷ 3! = 120 ÷ 6 = 20
What you can type
| Type | Meaning |
|---|---|
| + − × ÷ (or * /) | Add, subtract, multiply, divide |
| ^ | Power: 2^10 = 1,024 |
| √ or sqrt( ) | Square root: √16 = 4 |
| sin cos tan | Trigonometric functions |
| asin acos atan | Inverse trigonometric functions |
| ln log | Natural log (base e), common log (base 10) |
| π (pi) e | Constants 3.14159… and 2.71828… |
| ! | Factorial: 5! = 120 |
| % | Per cent: 50% = 0.5 |
Frequently asked questions
Why does sin(30) not give 0.5?
The calculator is set to radians. Switch Angles to Degrees, or convert: 30° = π/6 radians.
What is the difference between log and ln?
log is the common logarithm, base 10: log(100) = 2. ln is the natural logarithm, base e ≈ 2.71828: ln(e) = 1.
How do I type a cube root?
Use a fractional power: 27^(1/3) = 3. Odd roots of negative numbers work too: (−8)^(1/3) = −2.
Is −3^2 equal to 9 or −9?
−9. The power is applied before the minus sign, as in standard algebra. Write (−3)^2 to get 9.
What does 2^10 + sin(30) × √16 come to?
1,026 in degree mode. 2^10 is 1,024, and sin 30° × 4 adds 2.
What does an E in the result mean?
It's scientific notation. 1.2E+9 means 1.2 × 10⁹, or 1,200,000,000.