How this is calculated
The expression is parsed into a syntax tree and evaluated with standard precedence: parentheses first, then exponentiation, then multiplication and division, then addition and subtraction. Operators of equal precedence evaluate left to right, except exponentiation, which is right-associative — so 2^3^2 is 2^9 = 512, not 8^2 = 64.
Worked example on sin(30) + 2^10 / sqrt(16) in degree mode: sin(30) is 0.5, 2^10 is 1024, sqrt(16) is 4, so the division gives 256, and the total is 256.5.
Implicit multiplication is not assumed. Write 2*(3+4) rather than 2(3+4), and 2*pi rather than 2pi — being explicit removes an entire category of ambiguity that causes calculators to disagree with each other.
Degrees or radians — the setting that changes your answer
Trigonometric functions take an angle, and the same number means different angles in each mode. sin(30) is 0.5 in degrees and about −0.988 in radians, because 30 radians is roughly 1,719 degrees.
Geometry, surveying and most everyday problems use degrees. Calculus, physics and anything involving the unit circle use radians, where the argument of a trig function is an arc length rather than a degree count. If a result looks wildly wrong, the mode is the first thing to check — it accounts for more trigonometry errors than any actual mistake in the expression.
Precedence, and why 6/2(1+2) causes arguments
The famous ambiguous expressions circulating online are ambiguous because of implicit multiplication, not because mathematics is unclear. Some conventions treat a coefficient adjacent to parentheses as binding more tightly than division; others treat it as ordinary multiplication with equal precedence.
The resolution is to write what you mean. 6/(2*(1+2)) and (6/2)*(1+2) are both unambiguous and give 1 and 9 respectively. This calculator requires explicit multiplication for exactly that reason — there is no interpretation to guess at.
How to use the scientific calculator
- Type the full expression. Write it as one line, with explicit * for multiplication. The result updates as you type.
- Set degrees or radians. Only affects trigonometric functions, but it changes their results completely. Degrees for geometry, radians for calculus.
- Use parentheses freely. They cost nothing and remove any doubt about precedence. When in doubt, add a pair.