Unit 1: Real And Complex Numbers - Mathematics For Class IX (Science Group) - Solved Exercise 1.1

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Unit 1: Real And Complex Numbers
Exercise 1.1

1. Identify the following numbers as rational and irrational numbers and also write each one in separate column.

2. Convert the following into decimal fraction. Also indicate them as terminating and Non-terminating decimal fractions.

3. Represent the following rational numbers on number line.

OR

4. Can you make a list of all rational number between 1 and 2?
Ans: It is Infinite rational number because the the rational number between two whole numbers are always infinite.

And

(i) ⁵/₄ = 1.25
(ii) ³/₂ = 1.5
(iii) ⁷/₄ = 1.75
(iv) ⁹/₈ = 1.125

5. Give reason, why pi (π) is an irrational number?
Ans:  π = ²²/₇ = 3.14285....
Pi (π) is an irrational number because it has non-terminal and non recurring decimal fraction.

6. Tick (✓) the correct statements.
(i) ⁵/₇ is an example of irrational number. ✓
(ii) π is an irrational number. ✓
(iii) 0.31591... is an example of non-terminating and non-repeating decimal fraction. ✓
(iv) 0.123 is an example of recurring decimal fraction. x
(v) ¹/₃, ²/₃ are lying between 0 and 1. ✓
(vi) ¹ /_{√ 3} is an example of rational number. x

Examples