State the property used in each of the following statements $72 × 98 + 72 × 2 = 72 × (98 + 2)$ .

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Distributive property

Associative property

Commutative property

Division

answer is A.

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Detailed Solution

The given data is the mathematical equation

72 × 98 + 72 × 2 = 72 × (98 + 2)

.
We know that the distributive property for multiplication says that the multiplication can be done with a group of elements by distributing the operation with the help of the brackets.
Thereby, we can express the sum of individual multiplications of numbers as the multiplication of the sum of a group of numbers with another number and then find the product.
Now we observe that the given equation satisfies the distributive property.
Therefore, the required correct option is 1.

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