Final answer:
The statement by Jamie is true; multiplying by -1 or dividing by -1 both change the sign of the number n and are equivalent operations.
Step-by-step explanation:
Jamie's statement that the value of -1×n is always equal to the value of n÷(-1) for all values of n is true. Multiplication by -1 and division by -1 are both operations that change the sign of a number, and they are equivalent in mathematics. This can be confirmed by considering the basic rules of algebra and applying them to these expressions.
For example, if n is positive, multiplying it by -1 gives a negative result. Conversely, dividing a positive n by -1 also yields a negative result, and the magnitude remains the same in both cases. Likewise, if n is negative, -1×n would make it positive, as would n÷(-1). Hence, the statement maintains the equality regardless of the value of n.