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Mathematics

Find the product :

−135×(−10)\dfrac{-13}{5} \times (-10)

Rational Numbers

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Answer

The product of two rational numbers ab and cd\dfrac{a}{b} \text{ and } \dfrac{c}{d} is given by ab×cd=a×cb×d\dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{a \times c}{b \times d}.

Multiplying,

−135×(−10)=−135×−101=(−13)×(−10)5×1=1305=26\dfrac{-13}{5} \times (-10) = \dfrac{-13}{5} \times \dfrac{-10}{1} \\[1em] = \dfrac{(-13) \times (-10)}{5 \times 1} \\[1em] = \dfrac{130}{5} \\[1em] = 26

Hence, −135×(−10)=26\mathbf{\dfrac{-13}{5} \times (-10) = 26}.

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