Question 28

The distributive property of multiplication over addition is used in the computation.

The computation demonstrates the distributive property of multiplication over addition, where 25 is multiplied by the sum of 20 and 3. This property allows for the expression of multiplication as the sum of two separate products.

A) Commutative property of addition

The commutative property of addition states that changing the order of addends does not change the sum. In this case, the computation involves multiplication and does not illustrate this property, making it incorrect.

B) Associative property of multiplication

The associative property of multiplication states that the way in which factors are grouped does not change the product. The computation does not focus on grouping factors but rather on distributing multiplication over addition, thus this option is not applicable.

C) Commutative property of multiplication

The commutative property of multiplication indicates that changing the order of the factors does not affect the product. However, the computation is not demonstrating this property; instead, it applies the distributive property, rendering this choice incorrect.

D) Distributive property of multiplication over addition

This option accurately describes the property used in the computation. The expression 25 X (20 + 3) is restructured into 25 X 20 + 25 X 3, exemplifying the distributive property where multiplication distributes over addition.

Conclusion

The distributive property of multiplication over addition is definitively the correct answer as it directly relates to how the calculation is performed. All other options pertain to different properties that do not apply to the operation shown in the computation. Hence, only the distributive property explains the manipulation of terms accurately.