4:49
64
Practice Worksheet 2
Multiplying and Dividing Rational Numbers - Review Questions
1. Multuply
L. \( \stackrel{2}{3} \) by \( \frac{-y}{4} \)
il. \( \frac{\pi}{11} \) by 44
III. \( \frac{5}{-12} \) by \( \frac{-72}{25} \)
IV. -2 by \( \frac{18}{50} \)
k. \( \frac{7}{30} \) by \( \frac{3}{11} \)
2. Simplity
L. \( \left(\frac{25}{8} \times \frac{2}{5}\right)+\left(\frac{1}{2} \times 8\right) \)
11. \( \left(-7 \times \frac{3}{21}\right)-\left(-5 \times \frac{3}{15}\right) \)
III. \( \left(\frac{3}{2} \times \frac{1}{9}\right)+\left(\frac{5}{14} \times \frac{-2}{3}\right)-\left(\frac{3}{5} \times \frac{1}{2}\right) \)
I.. \( \left(\frac{3}{5} \times \frac{-10}{9}\right)+\left(\frac{-9}{4} \times \frac{5}{3}\right)-\left(\frac{-4}{3} \times \frac{5}{6}\right) \)
k. \( \left(\frac{13}{5} \times \frac{8}{3}\right)-\left(\frac{-3}{10} \times \frac{11}{2}\right)+\left(\frac{5}{2} \times \frac{-6}{5}\right) \)
3. Find the multiplicative inverse (reciprocal) of each of the following rational numbers.
1.3
II. -5
IIL \( \frac{3}{6} \)
IN. \( \frac{-2}{7} \)
k. \( 2 \times \frac{-4}{5} \)
4. Use the distributivity of muiltiplication or rational numbers over their addition to simpliry \( \frac{-5}{4} \times\left(\frac{16}{10}+\frac{8}{5}\right) \).
5. Divide
1. 2 by \( \frac{3}{4} \)
il. by \( \frac{-4}{6} \)
11. \( \frac{-y}{7} \) by \( \frac{-19}{5} \)
1k. -5 by \( \frac{-4}{7} \)
k. \( \frac{-3}{2} \) by \( \frac{5}{8} \)
6. The product of two rational numbers is \( \frac{-8}{11} \). If one of the numbers is \( \frac{-43}{33} \), find the othet.
7. By what number should we multiply \( \frac{-7}{22} \) to get the product \( \frac{6}{21} \) ?
8. Divide the sum or \( \frac{-15}{5} \) and \( \frac{13}{7} \) by their dirference.
9. A car is moving at the speed of \( 50 \frac{1}{4} \quad \) km/hr, how much distance will it cover in \( \frac{\gamma}{6} \) hours?
10. ir \( 7 \frac{1}{2} \) iltres or petrol cost \( ₹ 492 \frac{3}{10} \), then find the cost of 12 IItres of petrol.
Insertion of Rational Numbers between Two Rational Numbers - Review Questions