Final answer:
The only expression equivalent to (-60) ÷ 5 is (60)÷(-5) since dividing a negative by a positive results in a negative, and thus, option A is the correct answer.
Step-by-step explanation:
The question asks which expression is equivalent to (-60) ÷ 5. When you divide a negative number by a positive number, the result is negative, so any equivalent expression must also result in a negative number. Furthermore, when two numbers with the same sign (both positive or both negative) are divided, the result is positive, and when two numbers with different signs are divided, the result is negative.
Now let's evaluate the provided options:
- A. (60)÷(-5) results in -12, which is equivalent to (-60) ÷ 5.
- B. (-60)÷(-5) results in 12, which is not equivalent to (-60) ÷ 5 because the signs are the same for division, resulting in a positive value.
- C. (-60)×15 does not represent a division, thus it is not equivalent.
- D. (60)×(-15) does not represent a division, thus it is not equivalent.
- E. (-60)÷(-15) is also not equivalent because the signs are the same for division, resulting in a positive value.
Therefore, the only equivalent expression to (-60) ÷ 5 is option A.