9th Maths Chapter - 2 One Mark Quiz

"Real Numbers"

This chapter provides a comprehensive understanding of the real number system, covering the following main topics:

• Introduction to Real Numbers: An overview of the number system, including natural numbers (N), whole numbers (W), integers (Z), and rational numbers (Q). It then introduces irrational numbers and explains how the combination of rational and irrational numbers forms the set of real numbers (R).

• Irrational Numbers: A detailed look at irrational numbers, including how to identify them and how to represent them on a number line. This section often includes the representation of numbers like 2​, 3, and 4.7​ on the number line using geometric construction.

• Decimal Representation of Rational Numbers: Learning about terminating and non-terminating (recurring) decimal expansions and how to convert a rational number into its decimal form and vice versa.

• Decimal Representation of Irrational Numbers: Understanding that the decimal expansion of an irrational number is non-terminating and non-recurring.

• Operations on Real Numbers:

  • Addition and Subtraction: Performing addition and subtraction with real numbers, including the properties of these operations.

  • Multiplication and Division: Multiplying and dividing real numbers, including the concept of surds (or radicals) and their properties.

  • Laws of Exponents for Real Numbers: Applying the laws of exponents to real numbers with rational exponents, such as $a^m\cdot a^n=a^{m+n}$ and $(a^m{)}^n=a^{mn}$.

• Scientific Notation: Learning to express very large and very small numbers in scientific notation and performing arithmetic operations on them.