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.