Final answer:
One pair that sums to −2 is −7 and 5, while a pair that sums to 2 is 1 and 1 from the given set of numbers.
Step-by-step explanation:
The student is tasked with finding two pairs of numbers from a given set that add up to −2 and 2 respectively.
When adding numbers, remember that the sum of two positive numbers is positive, the sum of two negative numbers is negative, and when adding numbers with opposite signs, the magnitude of the sum corresponds to the difference between the numbers' absolute values, with the sign of the larger absolute value being retained.
To find pairs that sum to −2 and 2, we look for combinations within the set that fit these rules.
To find a pair that sums to −2, we could combine −7 (negative seven) and 5 (positive five), because −7 + 5 equals −2, which fits the criteria.
Next, to find a pair that sums to 2, we can pair 1 (positive one) with 1 (positive one), since 1 + 1 equals 2, meeting the required condition.
These calculations demonstrate the principles of addition involving negative and positive numbers, providing a clear solution for the student's question.