Final answer:
The multiplication of -4 and 41, as well as 4 and -41, results in -164 for both cases. Multiplying -4 and -41 results in 164, as the product of two negatives is positive.
Step-by-step explanation:
The student has asked for the solution to three multiplication problems involving negative numbers:
-4(41)
4(-41)
-4(-41)
For the first problem, -4 multiplied by 41, we apply the rule that the product of a negative and a positive number is negative:
-4 × 41 = -164
Similarly, 4 multiplied by -41 also follows the same rule:
4 × -41 = -164
For the last problem, -4 multiplied by -41, we use the rule that the product of two negative numbers is positive:
-4 × -41 = 164
The answers to the multiplication problems are -164, -164, and 164, respectively.