Final answer:
The commutative property of addition states that the order of addends does not affect the sum, which holds true for integers. However, subtraction doesn't follow the associative property, as changing the grouping of numbers can lead to different results.
Step-by-step explanation:
The commutative property of addition states that the order of the addends does not affect the sum. For example, if we take two integers, say 5 and 3, their sum will remain the same regardless of their order: 5 + 3 = 3 + 5 = 8.
On the other hand, the associative property of subtraction does not hold for integers. The associative property states that when three or more numbers are added (or multiplied), the sum (or product) is the same regardless of the grouping of the addends (or multiplicands). However, when you try to apply this property to subtraction of integers, it doesn't work. For example, take three integers 10, 5 and 2. If we group (10 - 5) and then subtract 2, the result is 3. However, if we group 5 and 2 first (i.e., 10 - (5 - 2)), the result is 7. Hence, subtraction of integers does not follow the associative property.
Learn more about Properties of Addition and Subtraction