## Unit 02 Zakat, Ushr and Inheritance (General Mathematics 9 PCTB)

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.

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