The CPU (= Central Processing Unit), also referred to sometimes as the processor or microprocessor, is the brain of the computer that calculates things (e.g., adding numbers,) makes decisions (e.g., executes if-else statements,) and, in general, runs a program's instructions.
A CPU might contain multiple cores, each of which, like an independent brain, can perform computations and execute instructions independently and in parallel to the other cores. A quad-core CPU, for example, contains 4 cores.