The expression 64x + 5 + 24x + 30 demonstrates the Commutative Property of Addition and the Associative Property of Addition.
Here’s the breakdown:
- The Commutative Property of Addition states that changing the order of the addends does not change the sum. In our expression, we can rearrange the terms to group the like terms, such as (64x + 24x) + (5 + 30). This shows that regardless of how we order the terms, we still end up with the same sum.
- The Associative Property of Addition allows us to group the addends in any way we choose. For instance, we can group the terms as 64x + (5 + 24x + 30) or (64x + 5) + (24x + 30) and the result will remain unchanged.
Thus, both properties are evident in how we can manipulate and organize this expression while still achieving the same result.