Name the property under multiplication used in each of the following:
(i) $-\tfrac{4}{5} \times 1 = 1 \times \left(-\tfrac{4}{5}\right) = -\tfrac{4}{5}$
(ii) $-\tfrac{13}{17} \times \left(-\tfrac{2}{7}\right) = -\tfrac{2}{7} \times \left(-\tfrac{13}{17}\right)$
(iii) $-\tfrac{19}{29} \times \tfrac{29}{-19} = 1$
(i)
$-\tfrac{4}{5} \times 1 = 1 \times \left(-\tfrac{4}{5}\right) = -\tfrac{4}{5}$
Here $1$ is the Multiplicative Identity.
(ii)
$-\tfrac{13}{17} \times \left(-\tfrac{2}{7}\right) = -\tfrac{2}{7} \times \left(-\tfrac{13}{17}\right)$
The Commutative Property of Multiplication is used in this equation.
(iii)
$-\tfrac{19}{29} \times \tfrac{29}{-19} = 1$
The Multiplicative Inverse Property is used in this equation.
निम्नलिखित में प्रयुक्त गुणन के गुण का नाम बताइए —
(i) $-\tfrac{4}{5} \times 1 = 1 \times \left(-\tfrac{4}{5}\right) = -\tfrac{4}{5}$
(ii) $-\tfrac{13}{17} \times \left(-\tfrac{2}{7}\right) = -\tfrac{2}{7} \times \left(-\tfrac{13}{17}\right)$
(iii) $-\tfrac{19}{29} \times \tfrac{29}{-19} = 1$
(i)
$-\tfrac{4}{5} \times 1 = 1 \times \left(-\tfrac{4}{5}\right) = -\tfrac{4}{5}$
यहाँ $1$ गुणन का परिमेय तत्व (Multiplicative Identity) है।
(ii)
$-\tfrac{13}{17} \times \left(-\tfrac{2}{7}\right) = -\tfrac{2}{7} \times \left(-\tfrac{13}{17}\right)$
यहाँ गुणन का आवर्तनीय गुण (Commutative Property of Multiplication) प्रयुक्त हुआ है।
(iii)
$-\tfrac{19}{29} \times \tfrac{29}{-19} = 1$
यहाँ गुणात्मक प्रतिलोम का गुण (Multiplicative Inverse Property) प्रयुक्त हुआ है।