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Mathematics

Name the property of multiplication illustrated by the following statement:

−187×1=1×−187=−187\dfrac{-18}{7} \times 1 = 1 \times \dfrac{-18}{7} = \dfrac{-18}{7}

Rational Numbers

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Answer

Here the rational number remains unchanged on being multiplied by 1.

For every rational number ab\dfrac{a}{b}, we have ab×1=1×ab=ab\dfrac{a}{b} \times 1 = 1 \times \dfrac{a}{b} = \dfrac{a}{b}.

Hence, the given statement illustrates the existence of multiplicative identity, 1 being the multiplicative identity for rational numbers.

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