Which statement is correct
Division is neither commutative nor associative
Division is both commutative and associative
Division is commutative but not associative
Ficus son is associative but not commutative
The statement "Division is neither commutative nor associative" is correct.
The correct statement is: Division is neither commutative nor associative.
The statement "Division is neither commutative nor associative" is correct.
To understand this, let's first explain the concepts of commutativity and associativity:
- Commutativity: A mathematical operation is commutative if changing the order of the operands does not change the result. For example, with addition, 2 + 3 is the same as 3 + 2. However, division does not possess this property. For instance, 2 ÷ 3 is not the same as 3 ÷ 2.
- Associativity: A mathematical operation is associative if the order of operations does not change the result when grouping the operands differently. For example, with addition, (2 + 3) + 4 is the same as 2 + (3 + 4). However, division does not possess this property either. In other words, (2 ÷ 3) ÷ 4 is not the same as 2 ÷ (3 ÷ 4).
Therefore, the correct statement from the given options is "Division is neither commutative nor associative."