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Exercise 1.2 (Solutions)

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exists}\; -z\in \mathbb{C} \mbox{ such that}\; z+\left( -z\right) =0 \\ \mbox{In fact if } z=a+bi, \mbox... ray}\nonumber\] - Associative Law for Addition \[\left( z+w\right) +v= z +\left( w+v\right)\nonumber \] </panel> <panel> **Question 2** Verify the multiplic... olutions** $\quad (2,6)\div (3,7)=\dfrac{(2,6)}{\left( 3,7 \right)}$ $=\dfrac{2+6i}{3+7i}=\dfrac{2+6i}

Exercise 1.1 (Solutions)

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imes$'. ---- (ix) $a(b-c)= ab-ac$ **Property:** Left distributive property. ---- (x) $(x-y)z= xz-yz$ ... . ---- (xii) $a(b+c-d)= ab+ac-ad$ **Property:** Left distributive property. </panel> <panel> **Quest... + 1 \times \frac{c}{d}\\ &= \frac{a}{b} \times \left(d \times \frac{1}{d}\right)+\left(b \times \frac{1}{b}\right)\times \frac{c}{d}\\ &= \frac{a}{b} \time