Question

clara and tyler are working on an activity in class.clara says that 17+ (-6) and (-6) +17 have the same vaule.tyler says that 8+(-8) and (-8)+(-8) have the same vaule.who is correct?explain your reasoning.

Answer 1

Clara is correct.

Tyler is incorrect.

Explanation:

Clara says that 17 + (-6) and (-6) +17 have the same value.

17 + (-6) and (-6) + 17 are both the addition of the numbers -6 and 17. All that is changed is the order. According to the commutative property of addition, the two sums are equal. Clara is correct.

Tyler says that 8 + (-8) and (-8) + (-8).

The first addition is the sum of 8 and -8. The second addition is the sum of -8 and -8. The first sum is 0. The second sum is -16. The numbers involved in the additions are different, so the sums are different. Tyler is incorrect.