Final answer:
The three numbers that provide the same result when both multiplied and added together are 1, 0, and -1, yielding a result of 0 in both operations.
Step-by-step explanation:
The question is seeking three numbers that when multiplied together give the same result as when they are added together. To find such numbers, we can rely on properties of multiplication and addition. Specifically, we can consider the identity element in multiplication, which is the number 1, and in addition, which is the number 0. We can pair these with a positive number and its negative counterpart to satisfy the conditions of the problem. For instance, using the numbers 1, 0, and -1:
Multiplying 1, 0, and -1 together: 1 × 0 × -1 = 0
Adding 1, 0, and -1 together: 1 + 0 + (-1) = 0
In both cases, the result is the same: 0. This fulfills the problem's requirements.