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$23 34 × 57 = 23 × 34 57$ , which of the following property of multiplication of rational numbers does it show?

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Closure property

Associative property

Distributive property

None of these

answer is B.

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Detailed Solution

We need to find the property satisfied by

23 34 × 57 = 23 × 34 57

.
If e, f, g are rational numbers, then

e × (f × g) = (e × f) × g

. This property of multiplication of rational numbers is called associative property.
So,

23 34 × 57 = 23 × 1528 = 3084

and,

23 × 34 57 = 612 × 57 = 3084

Therefore,

23 34 × 57 = 23 × 34 57

.
Therefore, the given example shows the associative property of multiplication.
Hence, 2 is the correct option.

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