An integer is a whole number that can be positive, negative, or zero, but it does not include fractions or decimals.
From the options given:
- −38 (an integer)
- negative 3 eighths (not an integer, it's a fraction)
- 6 (an integer)
- 312 (an integer)
- 3 and 1 half (not an integer, it's a fraction)
- 14 (an integer)
The integers among the responses are −38, 6, 312, and 14.