Which property states that the order in which numbers are added does not change the sum?

Study for the TExES Mathematics 4-8 Test. Practice with flashcards and multiple choice questions. Assess your knowledge to prepare effectively and excel in your exam!

The property that states the order in which numbers are added does not change the sum is the commutative property. This means that when you are adding two or more numbers, you can rearrange the order of the numbers without affecting the result. For example, if you have the numbers 2 and 3, both (2 + 3) and (3 + 2) will yield the same sum of 5. This property applies to addition in any context, reinforcing the idea that the sum remains constant regardless of how the addends are ordered.

In contrast, the associative property concerns the grouping of numbers rather than their order. This property indicates that when adding three or more numbers, the way in which the numbers are grouped does not affect the total, such as in ((1 + 2) + 3 = 1 + (2 + 3)). The identity property refers to the existence of an identity element in addition (which is 0), ensuring that adding 0 to any number does not change its value. Finally, the inverse property involves pairs of numbers that, when added together, yield the identity element in addition (such as a number and its negative). Ultimately, the commutative property

Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy