Final answer:
Out of the options provided, -32/8, 15/5, and -21 are integers because they simplify to whole numbers, while -48.39 and -12/5 are not integers due to their decimal and fractional forms, respectively.
Step-by-step explanation:
The subject of the question is Mathematics, specifically focusing on the identification of integers among a list of numerical expressions. An integer is a whole number that can be positive, negative, or zero, but cannot be a fraction or decimal.
Let's evaluate each option given by the student:
- A. -48.39: This is not an integer because it is a decimal number.
- B. -32/8: This is an integer because -32/8 simplifies to -4, which is a whole number.
- C. 15/5: This is an integer because 15/5 simplifies to 3, which is a whole number.
- D. -21: This is an integer because it is already in the form of a whole number.
- E. -12/5: This is not an integer because -12/5 cannot be simplified to a whole number; it remains a fraction.
Therefore, the integers from the options provided are B. -32/8, C. 15/5, and D. -21.