3. *Operations on Numbers:* – Addition, subtraction, multiplication, and division of real numbers. – Rules for performing these operations.
4. *Exponents and Powers:* – Laws of exponents. – Scientific notation and significant figures.
5. *Square Roots and Cube Roots:* – Finding square roots, squares and cube roots, cubes of numbers. – Estimating square roots and cube roots. different methods of estimating.
6. *Number Systems:* – Binary, octal, and hexadecimal number systems. – Conversion between different number systems.
7. *Real Numbers and Their Properties:* – Properties of real numbers, including commutative, associative, and distributive properties. – The concept of identity (additive identity ans multiplicative identity)and inverse elements.
8. *Rational Numbers:* – Definition and properties of rational numbers. – Representation of rational numbers, irrational on the number line.
9. *Irrational Numbers:* – Definition and properties of irrational numbers. – Examples of irrational numbers, such as square roots of non-perfect squares.
10. *Real Numbers and Their Classification:* – Classification of real numbers into rational and irrational numbers.
11. *Number Line and Inequalities:* – Graphical representation of numbers on a number line. – Solving inequalities involving real numbers.
12. *Absolute Value:* – Definition and properties of absolute value. – Solving absolute value equations and inequalities.
13. *Sets and Intervals:* – Introduction to sets. – Representation of intervals on the number line.
14. *Interval Notation:* – Using interval notation to represent sets of real numbers.
15. *Numerical Expressions:* – Evaluating numerical expressions involving real numbers.
This unit provides a foundational understanding of the number system and its various components, which is essential for more advanced mathematical concepts in FSC and beyond. It’s important to consult your specific course materials and syllabus for the exact topics covered in your curriculum, as these can vary by educational institution.
