Gujarat Board Textbook Solutions Class 9 Maths Chapter 1 Number Systems Ex 1.5

Gujarat Board Textbook Solutions Class 9 Maths Chapter 1 Number Systems Ex 1.5

GSEB Solutions Class 9 Maths Chapter 1 Number Systems Ex 1.5

Question 1.
Classify the following numbers as rational or irrational.
Solution:

(v) 2π
Here, 2 is a rational number (2 ≠ 0)
and π is an irrational number.
∴ π is an irrational number.
(Because the product of a non-zero rational number with an irrational number is an irrational number).

Question 2.
Simplify each of the following expressions:

Question 3.
Recall, n is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is, π = c/d. This seems to contradict the fact that n is irrational. How will you resolve this contradiction?
Solution:
π = c/d
There is no contradiction as either c or d is irrational and hence n is an irrational.

Question 4.

Question 5.
Rationalise the denominators of the following:

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