Operations with rational numbers Knowledge-Based Download PDF

Questions

1. 1.

   What is the value of the expression $\dfrac{1 - \dfrac{1}{1 - \dfrac{1}{3}}}{2 + \dfrac{1}{2}}$?

   • A) $-\dfrac{1}{5}$
   • B) $\dfrac{1}{5}$
   • C) $-\dfrac{5}{4}$
   • D) $-\dfrac{1}{10}$
2. 2.

   What is the value of the expression $\left(1 - \dfrac{1}{4}\right) \div \left(-\dfrac{3}{8}\right) - \left(-\dfrac{5}{6} + \dfrac{1}{2}\right) \cdot \left(-\dfrac{9}{4}\right)$?

   • A) $-\dfrac{5}{4}$
   • B) $\dfrac{5}{4}$
   • C) $\dfrac{11}{4}$
   • D) $-\dfrac{11}{4}$
3. 3.

   What is the value of the expression $\dfrac{\left(-\dfrac{2}{3}\right) \cdot \dfrac{9}{10} + \dfrac{7}{5}}{1 - \left(-\dfrac{1}{3}\right)^2}$?

   • A) $\dfrac{18}{25}$
   • B) $\dfrac{9}{4}$
   • C) $\dfrac{10}{9}$
   • D) $\dfrac{9}{10}$
4. 4.

   What is the value of the expression $\left(\dfrac{1}{3} - \dfrac{5}{6}\right)^2 \div \left(-\dfrac{5}{12}\right) + \dfrac{7}{10}$?

   • A) $-\dfrac{13}{10}$
   • B) $-\dfrac{1}{10}$
   • C) $\dfrac{1}{10}$
   • D) $\dfrac{13}{10}$
5. 5.

   What is the value of the expression $\dfrac{2}{5} - \dfrac{3}{4} \div \left(-\dfrac{9}{8}\right) + \left(-\dfrac{1}{6}\right)$?

   • A) $\dfrac{7}{15}$
   • B) $\dfrac{9}{10}$
   • C) $-\dfrac{13}{30}$
   • D) $-\dfrac{1}{10}$