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Exercise 1.1 (Solutions)

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<panel> **Question 5** Prove that $$-\frac{7}{12}-\frac{5}{18}=\frac{-21-10}{36}$$. **Solution** \begin{align} L.H.S &= -\frac{7}{12}-\frac{5}{18}\\ &= -\frac{7}{12} \times 1 - \frac{5}{18} \times 1\\ &= -\frac{7}{12} \times \left(3 \times \frac{1}{3}\right)- \frac{

Exercise 1.2 (Solutions)

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(5)(-3)-(-4)(-2),(5)(-2)+(-4)(-3))$ $=(-15-8,-10+12)=(-23,2)$ </panel> <panel> **Question 10 ** S... </panel> </col><col sm="6"> <panel> **Question 12 ** Simplify: $(5,-4)\div (-3,-8)$ **Solutions**... {1+i}\times \dfrac{1-i}{1-i}$ $=\dfrac{-5+5i-12i+12{{i}^{2}}\left( -1 \right)}{1-{{i}^{2}}}$ $=\dfrac{-5-7i+12\left( -1 \right)}{1-\left( -1 \right)}$ $=\dfrac