Jamie is correct in saying that -1 * n is always equal to n / -1 for all values of n. Both operations simply change the sign of the number n, preserving its magnitude.
Jamie's statement that the value of -1 * n is always equal to the value of n divided by -1 for all values of n is true. This is because multiplication by -1 and division by -1 are mathematical operations that both change the sign of a number but preserve its magnitude. Therefore, no matter what value n holds, multiplying or dividing it by -1 will give the same result but with an opposite sign.
For example:
- If n = 5, then -1 * 5 = -5 and 5 / -1 = -5.
- If n = -3, then -1 * (-3) = 3 and -3 / -1 = 3.
Jamie's statement is correct, and this property applies to all real numbers n.