What property of multiplication is illustrated by the manipulatives of the accompanying diagrams? \begin{tabular}{|l|l|l|l|l|l|l|l|l|}\hline DG & DG & DG & DG & DG & DG & DG & DG & DG \\ Dark Green \( (\mathrm{DG})=6 \)-rod \\ A. The associative property \\ B. The commutative property \\ C. The multiplication-by-zero property \\ D. The multiplicative identity property of one \\ Choose the correct answer below. \\ E. The closure property \\ F. The distributive property of multiplication over addition \end{tabular} :
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The property of multiplication illustrated by the manipulatives of the accompanying diagrams is the commutative property. This property states that changing the order of the numbers you are multiplying does not change the product. So, if you have two groups of manipulatives, rearranging them still results in the same total product! Now, let’s think about how this applies in real life: If you have 6 boxes with 4 apples each or 4 boxes with 6 apples each, you end up with the same total amount of apples—24! It's a tidy little reminder that no matter how you mix things up in multiplication, the outcome remains constant.
