What property allows the addition or multiplication of numbers in any order without changing the result?

The Commutative Property is the principle that allows the addition or multiplication of numbers to be performed in any order without affecting the outcome. This property holds true for addition and multiplication. For instance, when adding two numbers, such as 3 and 5, you can calculate 3 + 5 or 5 + 3; both will yield the same result of 8. Similarly, with multiplication, 2 × 4 and 4 × 2 will both equal 8 as well. This flexibility in the order of operations is what characterizes the Commutative Property, making it foundational in mathematics to simplify computations and solve problems efficiently.