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Exercise 2.6 (Solutions)
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=======Exercise 2.6 (Solutions)======== ====Question 1==== Identify the following statements as true or fals... (iv) True (v) False (vi) True (vii) True ====Question 2==== Express each complex number in the standrad... &= -2 -6i+3+6i+4i\\ &= 1+4i \end{array}$$ ====Question 3==== * Simplify and write your answer in the f... 1)\\ &= 6+6-5i\\ &= 12-5i \end{array}$$ ====Question 4==== * Simplify and write your answer in the f
Exercise 2.1 (Solutions)
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====== Exercise 2.1 (Solutions) ====== ====Question 1==== Identify which of the following are rational and ... * Irrational: $\sqrt{3}$, $\pi$, $\sqrt{29}$ ====Question 2==== Convert the following fraction into decimal... * (iv) 11.3889 * (v) 0.625 * (vi) .65789 ====Question 3==== Which of the statements are true and which ... ac{4}{5}$ is a recurring fraction. **False** ====Question 4==== Represent the following numbers on the numb
Exercise 2.5 (Solutions)
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=======Exercise 2.5 (Solutions)======== ====Question 1==== * Evaluate (i) $i^7$ ... &= (-1)\cdot i\\ &= -i \end{array}$$ ====Question 2==== * Write the conjugate of the following nu... } z = -4 - i\\ \bar{z} = -4 + i \end{array}$$ ====Question 3==== * Write the real and imaginary part of th... 2 + 0i\\ Re(z) = 2 ; Im(z) = 0 \end{array}$$ ====Question 4==== * Find the value of x and y if $x + i
Exercise 2.2 (Solutions)
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=======Exercise 2.2 (Solutions)======== ====Question 1==== Identify the property used in the following, * ... c >0)$ ... ... ... (Multiplicative property) ====Question 2==== Fill in the following blanks by stating the... Additive inverse * (iv) Additive identity ====Question 3==== Give the name of the property used in the f
Exercise 2.3 (Solutions)
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=======Exercise 2.3 (Solutions)======== ====Question 1==== Write each radical expression in exponential nota... \sqrt[3]{y}^{-2}$ (Radical form) ====Question 2==== Tell whether the following statements are t... (ii) True * (iii) False * (iv) False ====Question 3==== Simplify the following radical expression
Exercise 2.4 (Solutions)
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=======Exercise 2.4 (Solutions)======== ====Question 1==== Use law of exponent to simplify. * (i) $\frac{... s2\\ &= 3\times2\\ &= 6 \end{array}$$ ====Question 2==== Show that $$\left(\frac{x^a}{x^b}\right )^... +c^2-a^2}\\ &= x^0\\ &= 1 \end{array}$$ ====Question 3==== *Simplify *(i) $\frac{2^{1/3}\left(27\