Number System Worksheet for Class 9

Number System Worksheet for Class 9

Number System Worksheet for Class 9

Name: _______________________ Date: _______________

Section A: Multiple Choice Questions

  1. Which of the following is an irrational number?
    a) 1/2
    b) √3
    c) 0.25
    d) 5
  2. The decimal expansion of an irrational number is:
    a) Terminating
    b) Non-terminating and repeating
    c) Non-terminating and non-repeating
    d) Always zero
  3. The value of √49 is:
    a) 6
    b) 7
    c) 8
    d) 9
  4. Between two rational numbers, there are:
    a) No rational numbers
    b) Only one rational number
    c) Infinitely many rational numbers
    d) Two rational numbers

Section B: Fill in the Blanks

  1. A number that can be written in the form p/q is called a __________ number.
  2. The set of natural numbers is represented by __________.
  3. The decimal expansion of 1/8 is __________.
  4. √2 is an example of a(n) __________ number.
  5. Every integer is a __________ number.

Section C: Solve the Following

  1. Represent √5 on the number line.
  2. Find three rational numbers between 2 and 3.
  3. Simplify:
    [
    \frac{3}{\sqrt{5}+\sqrt{2}}
    ]
  4. Rationalise the denominator:
    [
    \frac{5}{\sqrt{3}}
    ]
  5. Find the value of:
    [
    (2+\sqrt{3})(2-\sqrt{3})
    ]

Section D: Short Answer Questions

  1. Define rational numbers with examples.
  2. What are irrational numbers? Give two examples.
  3. Explain why √7 is an irrational number.
  4. Write the decimal expansion of:
    a) 2/5
    b) 7/8
    c) 1/3
  5. Find whether the following are rational or irrational:
    a) √16
    b) √10
    c) 0.333…
    d) π
  6. Write five examples of real numbers.

Teacher’s Signature: ____________