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Mathematics

Name the property of multiplication illustrated by the following statement:

(−34×57)×−911=−34×(57×−911)\left(\dfrac{-3}{4} \times \dfrac{5}{7}\right) \times \dfrac{-9}{11} = \dfrac{-3}{4} \times \left(\dfrac{5}{7} \times \dfrac{-9}{11}\right)

Rational Numbers

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Answer

Here the grouping of the three rational numbers has been changed but the product remains the same.

If ab,cd and ef\dfrac{a}{b}, \dfrac{c}{d} \text{ and } \dfrac{e}{f} are any three rational numbers, then

(ab×cd)×ef=ab×(cd×ef)\left(\dfrac{a}{b} \times \dfrac{c}{d}\right) \times \dfrac{e}{f} = \dfrac{a}{b} \times \left(\dfrac{c}{d} \times \dfrac{e}{f}\right)

Hence, the given statement illustrates the associative law of multiplication.

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