Name the property shown.
(8 + 3) + 11 = 8+ (3 + 11)
Identity Property of Addition
Commutative Property of Addition
Commutative Propertv of Multiolication
Associative Property of Addition
Associative Property of Addition
The property shown is the Associative Property of Addition. This property states that when adding three or more numbers, the grouping of the numbers does not affect the sum. In this case, regardless of whether we group 8 and 3 first, or 3 and 11 first, the final sum will be the same.
The property shown in the equation is the Associative Property of Addition. This property states that the grouping of numbers does not affect the sum. In other words, when adding three or more numbers, it does not matter how you group them—the final sum will remain the same.
To identify this property in the equation (8 + 3) + 11 = 8 + (3 + 11), you can observe that the numbers are being grouped differently on both sides of the equation. However, the result is the same. This demonstrates the Associative Property of Addition.
Alternatively, you can also verify the other properties mentioned:
- Identity Property of Addition: The equation does not involve any element that acts as an identity value for addition (such as 0). Therefore, it does not demonstrate the Identity Property of Addition.
- Commutative Property of Addition: The equation does not involve any rearrangement of numbers. Therefore, it does not demonstrate the Commutative Property of Addition.
- Commutative Property of Multiplication: The equation does not involve any multiplication operation. Therefore, it does not demonstrate the Commutative Property of Multiplication.