Question

6. Consider the following expression: (+4) + (-3) + (+1) + (+6) + (-2), a) Add the integers in the order in which they appear. b) Group together all the positive integers, and add them. Group together all the negative integers, and add them. Now add these two sums. c) Why do you get the same answer when you regroup and when you add the terms in the order in which they appear?

Answer 1

You get the same answer because no matter the order of adding integers, it will not change the result. Grouping the positive and the negative numbers separately and adding them up is just a way of breaking it down to make the equation easier.

Explanation:

When adding integers, the order does not matter. You will get the same sum. Grouping the negative and positive numbers together is just a way of breaking the equation down, therefore it will give you the same sum as if you add it in order. Hope this helps!