The product of two numbers is −1635\dfrac{-16}{35}35−16. If one of the numbers is −1514\dfrac{-15}{14}14−15, then the other is
−25\dfrac{-2}{5}5−2
−83\dfrac{-8}{3}3−8
815\dfrac{8}{15}158
3275\dfrac{32}{75}7532
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Let the other rational number be xxx.
As the product of the two rational numbers is −1635\dfrac{-16}{35}35−16,
⇒−1514×x=−1635⇒x=−1635÷−1514⇒x=−1635×14−15⇒x=(−16)×1435×(−15)⇒x=−224−525=3275\Rightarrow \dfrac{-15}{14} \times x = \dfrac{-16}{35} \\[1em] \Rightarrow x = \dfrac{-16}{35} \div \dfrac{-15}{14} \\[1em] \Rightarrow x = \dfrac{-16}{35} \times \dfrac{14}{-15} \\[1em] \Rightarrow x = \dfrac{(-16) \times 14}{35 \times (-15)} \\[1em] \Rightarrow x = \dfrac{-224}{-525} = \dfrac{32}{75}⇒14−15×x=35−16⇒x=35−16÷14−15⇒x=35−16×−1514⇒x=35×(−15)(−16)×14⇒x=−525−224=7532
Hence, Option 4 is the correct option.
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Which of the following numbers is in standard form?
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−4970\dfrac{-49}{70}70−49
−916\dfrac{-9}{16}16−9
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(−916×815)\left(\dfrac{-9}{16} \times \dfrac{8}{15}\right)(16−9×158) = ?
−310\dfrac{-3}{10}10−3
−415\dfrac{-4}{15}15−4
−925\dfrac{-9}{25}25−9
