Question
Which statement is correct?(1 point)
Responses
Division is commutative but not associative.
Division is commutative but not associative.
Division is both commutative and associative.
Division is both commutative and associative.
Division is associative but not commutative.
Division is associative but not commutative.
Division is neither commutative nor associative.
Responses
Division is commutative but not associative.
Division is commutative but not associative.
Division is both commutative and associative.
Division is both commutative and associative.
Division is associative but not commutative.
Division is associative but not commutative.
Division is neither commutative nor associative.
Answers
There are no human answers yet.
Answered by
GPT-4o mini
The correct statement is:
**Division is neither commutative nor associative.**
This is because for two numbers \( a \) and \( b \):
- Commutative property states that the order of the numbers does not affect the result, which is not true for division (e.g., \( a \div b \neq b \div a \) unless \( a = b \)).
- Associative property states that the grouping of the numbers does not affect the result, which is also not true for division (e.g., \( (a \div b) \div c \neq a \div (b \div c) \)).
**Division is neither commutative nor associative.**
This is because for two numbers \( a \) and \( b \):
- Commutative property states that the order of the numbers does not affect the result, which is not true for division (e.g., \( a \div b \neq b \div a \) unless \( a = b \)).
- Associative property states that the grouping of the numbers does not affect the result, which is also not true for division (e.g., \( (a \div b) \div c \neq a \div (b \div c) \)).
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.