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Mathematics

Name the property of multiplication illustrated by the following statement:

−1317×17−13=17−13×−1317=1\dfrac{-13}{17} \times \dfrac{17}{-13} = \dfrac{17}{-13} \times \dfrac{-13}{17} = 1

Rational Numbers

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Answer

Here the product of the rational number and its reciprocal is 1.

For every non-zero rational number ab\dfrac{a}{b}, we have ab×ba=ba×ab=1\dfrac{a}{b} \times \dfrac{b}{a} = \dfrac{b}{a} \times \dfrac{a}{b} = 1

Hence, the given statement illustrates the existence of multiplicative inverse (or reciprocal).

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