Use the distributivity of multiplication of rational numbers over thei

1.	Use the distributivity of multiplication of rational numbers over their addition to simplify: (i) 35×(3524+101) (ii)−54×(85+165) (iii)27×(716−214) (iv)34×(89−40)
Answer» Use the distributivity of multiplication of rational numbers over their addition to simplify: (i) $\frac{3}{5} \times (\frac{35}{24} + \frac{10}{1})$ (ii) $\frac{- 5}{4} \times (\frac{8}{5} + \frac{16}{5})$ (iii) $\frac{2}{7} \times (\frac{7}{16} - \frac{21}{4})$ (iv) $\frac{3}{4} \times (\frac{8}{9} - 40)$

Use the distributivity of multiplication of rational numbers over their addition to simplify: (i) 35×(3524+101) (ii)−54×(85+165) (iii)27×(716−214) (iv)34×(89−40)

Answer»

Use the distributivity of multiplication of rational numbers over their addition to simplify:

(i) $\frac{3}{5} \times (\frac{35}{24} + \frac{10}{1})$

(ii) $\frac{- 5}{4} \times (\frac{8}{5} + \frac{16}{5})$

(iii) $\frac{2}{7} \times (\frac{7}{16} - \frac{21}{4})$

(iv) $\frac{3}{4} \times (\frac{8}{9} - 40)$