Question
Shilo is trying to compute the value of 27 + 55 + 13. She adds 27 + 13 to get 40, and then adds on 55.
Which of the following properties is Shilo using?
commutative
distributive
identity
associative
Which of the following properties is Shilo using?
commutative
distributive
identity
associative
Answers
GPT-4o mini
Shilo is using the **associative property** of addition. This property states that the way in which the numbers are grouped does not affect the sum. In this case, she groups 27 and 13 together before adding 55, which demonstrates the associative property.
To recap:
- **Commutative** property: Order of addition does not matter (e.g., 27 + 55 = 55 + 27).
- **Distributive** property: Relates to multiplication over addition (not applicable here).
- **Identity** property: States that adding zero to a number does not change its value.
- **Associative** property: States that grouping does not matter (e.g., (27 + 13) + 55 = 27 + (13 + 55)).
Therefore, the correct answer is **associative**.
To recap:
- **Commutative** property: Order of addition does not matter (e.g., 27 + 55 = 55 + 27).
- **Distributive** property: Relates to multiplication over addition (not applicable here).
- **Identity** property: States that adding zero to a number does not change its value.
- **Associative** property: States that grouping does not matter (e.g., (27 + 13) + 55 = 27 + (13 + 55)).
Therefore, the correct answer is **associative**.