Which statement is correct?(1 point)
Responses
Division is associative but not commutative.
Division is associative but not commutative.
Division is commutative but not associative.
Division is commutative but not associative.
Division is both commutative and associative.
Division is neither commutative nor associative.
Use the drop-down menu to complete the sentence.(1 point)
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The correct statement is:
Division is associative but not commutative.
The correct statement is: "Division is neither commutative nor associative."
To determine whether division is commutative, we need to check if changing the order of the numbers being divided alters the result. For example, if we have the numbers 4 and 2, dividing them in one order (4 ÷ 2) will yield a different result than dividing them in the reverse order (2 ÷ 4). Since the results are different, we can conclude that division is not commutative.
To determine whether division is associative, we need to check if changing the grouping of numbers being divided alters the result. For example, if we have the numbers 8, 4, and 2, dividing them in one order [(8 ÷ 4) ÷ 2] will yield a different result than dividing them in a different order [8 ÷ (4 ÷ 2)]. Since the results are different, we can conclude that division is not associative.
Therefore, the correct statement is that division is neither commutative nor associative.