This is true, which means that a language has to be designed from the ground up to deal with these problems or there will always be inscrutable bugs due to misuse of arithmetic results. A simple example in a c-like language would be that the following function would not compile:

    unsigned foo(unsigned a, unsigned b) { return a - b; }

but this would:

    unsigned foo(unsigned a, unsigned b) {
      auto c = a - b;
      return c >= 0 ? c : 0;
    }

Assuming 32 bit unsigned and int, the type of c should be computed as the range [-0xffffffff, 0xffffffff], which is different from int [-0x100000000, 0x7fffffff]. Subtle things like this are why I think it is generally a mistake to type annotate the result of a numerical calculation when the compiler can compute it precisely for you.