Which mathematic property allows the changing of the order of addends without changing the sum?

The property that allows the changing of the order of addends without changing the sum is known as the Commutative Property. This property is fundamental in arithmetic and states that for any two numbers, when you add them, the sum remains the same regardless of the order in which the numbers are arranged. For example, if you have the numbers 3 and 5, the Commutative Property confirms that 3 + 5 equals 5 + 3, both resulting in a sum of 8.

Understanding the Commutative Property is essential for developing number sense and simplifying calculations in various mathematical contexts. It helps students recognize that rearranging the order of addends can make certain calculations easier or more intuitive. This property applies not only to addition but also to multiplication, emphasizing its broad relevance in mathematics.