Test your knowledge: Python Numbers

Review

1. Predict the three: 7 / 2, 7 // 2, and 7 % 2.

   True division always yields a float, so 7 / 2 is 3.5; floor division hands back the equal shares, 3; modulo hands back the leftover, 1. Together the last two describe any split.
2. What is 8 / 4 in Python?

   The / operator is true division, and its result is a float every time, 2.0 included. If a whole number is required, floor division says so explicitly rather than by accident.
3. What does 2 ** 64 produce?

   Python integers grow as large as the computation requires, so 2 ** 64 is exact, every digit of it. The surprise is reserved for programmers arriving from languages where integers quietly wrap around.
4. Why should money be counted in integers?

   Floats approximate decimal fractions in binary, and the rounding drifts, which is how cents vanish from long ledgers. Counting money in integer cents keeps every unit exact, and the decimal module handles the rest when it matters.
5. Floor division and modulo together describe any split as what?

   Floor division gives the equal shares and modulo gives the leftover, so between them any division among any number of takers is fully described. Seven loaves among two baskets: three each, one left over.
6. For z = 3 + 4j, what do z.real and z.imag return?

   For z = 3 + 4j, z.real is 3.0 and z.imag is 4.0. Python exposes both components as floats.