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Q.

Name the suitable rearrangement that helps in evaluating the expression $569 × 17 + 569 × 13 + 569 × 70$ .

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a

Distributive property

b

Associative property

c

Long Division

d

Factorization

answer is A.

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Detailed Solution

The given data is the expression

569 × 17 + 569 × 13 + 569 × 70

.
As we know, the distributive property finds use in the multiplication and division of numbers with other groups of numbers, but not in addition or subtraction individually.
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.

⇒ 569 × 17 + 569 × 13 + 569 × 70 ⇒ 569 × (17 + 13 + 70) ⇒ 569 × (100) ⇒ 56900

Hence, we evaluate the expression with the distributive property.
Therefore, the required correct option is 1.

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