Question

EXERCISE 1.1
1. Using appropriate properties find.
(1
)
2 3 5 3 1
- x -+
3 5 2 5
X
6.
Write the additive in arcea​

Answer 1

$\bigstar$ Correct Question:

Using appropriate properties find:

$-\dfrac{2}{3} \times \dfrac{3}{5} + \dfrac{5}{2} - \dfrac{3}{5} \times \dfrac{1}{6}$

$\bigstar$ Solution:

$-\dfrac{2}{3} \times \dfrac{3}{5} + \dfrac{5}{2} - \dfrac{3}{5} \times \dfrac{1}{6}$

Using commutativity,

$\implies - \dfrac{2}{3} \times \dfrac{3}{5} - \dfrac{3}{5} \times \dfrac{1}{6} + \dfrac{5}{2}$

$\implies \dfrac{3}{5} \bigg( \dfrac{-2}{3} - \dfrac{1}{6} \bigg)+ \dfrac{5}{2}$

$\implies \dfrac{3}{5}\bigg(\dfrac{-4-1}{6}\bigg) + \dfrac{5}{2}$

$\implies \dfrac{3}{5} \bigg(\dfrac{-5}{6} \bigg) + \dfrac{5}{2}$

Using distributivity,

$\implies \dfrac{-15}{30} + \dfrac{5}{2}$

$\implies \dfrac{-1}{2} + \dfrac{5}{2}$

$\implies \dfrac{4}{2}$

$\implies 2$