Notes, solutions of unit 02, General Mathematics 9, for Punjab Curriculum & Textbook Board (PCTB), Lahore.

• After studying this unit , the students will be able to:
• Recall the set of real numbers as a union of sets of rational and irrational numbers.
• Depict real numbers on the number line.
• Demonstrate a number with terminating and non-terminating recurring decimals on the number line.
• Give decimal representation of rational and irrational numbers.
• Know the properties of real numbers.
• Explain the concept of radicals and radicands.
• Differentiate between radical form and exponential form of an expression.
• Transform an expression given in radical form to an exponential form and vice versa.
• Recall base, exponent and value.
• Apply the laws of exponents to simplify expressions with real exponents.
• Define complex number $z$ represented by an expression of the form $z= a + ib$ , where $a$ and $b$ are real numbers and $i = \sqrt{-1}$
• Recognize $a$ as real part and $b$ as imaginary part of $z = a + ib$.
• Define conjugate of a complex number.
• Know the condition for equality of complex numbers.
• Carry out basic operations (i.e., addition, subtraction, multiplication and division) on complex numbers.