c - Not including stdlib.h does not produce any compiler error!
For historical reasons -- specifically, compatibility with very old C programs (pre-C89) -- using a function without having declared it first only provokes a warning from GCC, not an error. But the return type of such a function is assumed to be int, not double, which is why the program executes incorrectly.
If you use -Wall on the command line, you get a diagnostic:
$ gcc -Wall test.c
test.c: In function ‘main’:
test.c:5: warning: implicit declaration of function ‘atoi’
test.c:6: warning: implicit declaration of function ‘atof’
You should use -Wall basically always. Other very useful warning options for new code are -Wextra, -Wstrict-prototypes, -Wmissing-prototypes, -pedantic, and -Wwrite-strings, but compared to -Wall they have much higher false positive rates.
Tangentially: never use atoi nor atof, they hide input errors. Use strtol and