q-deformed rationals and reals

An ordinary number is fixed. A q-deformed number has a dial on it, called q, that turns the number into something new, and setting that dial back to 1 always returns the original number. Researchers turn that dial to study familiar numbers in a richer setting. This calculator computes q-deformed values exactly, with the same engine behind every result on the research site, so you can check the arithmetic yourself.

Pick an operation below, fill in its inputs, and read the answer in typeset math. Keep any result and it stays saved in your browser, nowhere else.