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Number Systems Class 9 Test Series

Categories: class 9, Number Systems
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About Course

NUMBER SYSTEMS

1. Review of representation of natural numbers, integers, and rational numbers on the number line. Rational numbers as recurring/ terminating decimals. Operations on real numbers.
2. Examples of non-recurring/non-terminating decimals. Existence of non-rational numbers (irrational numbers) such as \(\sqrt{2}\), \(\sqrt{3}\)
and their representation on the number line. Explaining that every real number is represented by a unique point on the number line and conversely,
viz. every point on the number line represents a unique real number.
3. Definition of nth root of a real number.
4. Rationalization (with precise meaning) of real numbers of the type \(\frac{1}{a+b\sqrt{x}}\) and \(\frac{1}{\sqrt{x}+\sqrt{y}\) (and their combinations) where x and y are natural number and a and b are
integers.
5. Recall of laws of exponents with integral powers. Rational exponents with positive real bases (to be done by particular cases, allowing learner to arrive at the general laws.)

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What Will You Learn?

  • Understand the properties of natural numbers and whole numbers, such as closure, commutativity, associativity, and the existence of identity elements.
  • Understand the concept of integers, including positive integers, negative integers, and zero.
  • Recognize and define natural numbers and whole numbers.
  • Represent and order integers on the number line.
  • Learn the properties of integers, such as closure, commutativity, associativity, and the existence of identity and inverse elements.
  • Perform the basic operations of addition, subtraction, multiplication, and division on integers.
  • Develop skills in using the order of operations (PEMDAS) with integers.
  • Solve real-life problems involving the application of integer operations.
  • Understand the concept of rational numbers, including their representation as fractions.
  • Identify and compare rational numbers on the number line.
  • Perform operations (addition, subtraction, multiplication, and division) on rational numbers.
  • Simplify complex fractions and convert between different forms of rational numbers.
  • Recognize the existence of irrational numbers, such as √2, π, and e.
  • Understand the distinction between rational and irrational numbers.
  • Approximate the values of irrational numbers using suitable methods.
  • Understand the concept of real numbers, which includes both rational and irrational numbers.
  • Represent real numbers on the number line and compare their relative magnitudes.
  • Learn the properties of real numbers, such as closure, commutativity, associativity, and the existence of identity and inverse elements.
  • Perform operations (addition, subtraction, multiplication, and division) on real numbers.
  • Develop the ability to solve real-life problems involving the application of real number operations.
  • Understand the concept of exponents and laws of exponents.
  • Apply the laws of exponents to simplify and evaluate expressions involving powers.
  • Solve problems related to the application of exponents and powers in real-life situations.

Course Content

Number Systems MCQ Tests

  • Number Systems MCQ Test 1
    00:00
  • Number Systems MCQ Test 2
    00:00
  • Number Systems MCQ Test 3
    00:00

Number Systems Subjective Tests

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