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Question

Mathematics Question on Properties of Rational Numbers

Name the property under multiplication used in each of the following.

(i)−45×1=1×−45=−45\frac{-4}{5}×1=1×\frac{-4}{5}=-\frac{4}{5}

(ii) −1317×−27=−27×−1317-\frac{13}{17}×\frac{-2}{7}=\frac{-2}{7}×\frac{-13}{17}

(iii) −1929×29−19=1.\frac{-19}{29}×\frac{29}{-19}=1.

Answer

(i) −45×1=1×−45=−45\frac{-4}{5}×1=1×\frac{-4}{5}=-\frac{4}{5}

1 is the multiplicative identity.

(ii) Commutativity

(iii) Multiplicative inverse