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ML Aggarwal Solutions Class 9 Mathematics Solutions for Rational and Irrational Numbers Exercise 1.3 in Chapter 1 - Rational and Irrational Numbers

Question 11 Rational and Irrational Numbers Exercise 1.3
  1. Insert… following.

(i) One irrational number between 1/3 and ½

(ii) One irrational number between -2/5 and ½

(iii) One irrational number between 0 and 0.1

Answer:

(i) One irrational number between 1/3 and ½

M L Aggarwal - Understanding ICSE Mathematics - Class 9 chapter Rational and Irrational Numbers Question 11 Solution image

1/3 = 0.333…

M L Aggarwal - Understanding ICSE Mathematics - Class 9 chapter Rational and Irrational Numbers Question 11 Solution image

½ = 0.5

So there are infinite irrational numbers between 1/3 and ½.

One irrational number among them can be 0.4040040004…

(ii) One irrational number between -2/5 and ½ M L Aggarwal - Understanding ICSE Mathematics - Class 9 chapter Rational and Irrational Numbers Question 11 Solution image

-2/5 = -0.4

M L Aggarwal - Understanding ICSE Mathematics - Class 9 chapter Rational and Irrational Numbers Question 11 Solution image

½ = 0.5

So there are infinite irrational numbers between -2/5 and ½.

One irrational number among them can be 0.1010010001…

(iii) One irrational number between 0 and 0.1

There are infinite irrational numbers between 0 and 1.

One irrational number among them can be 0.06006000600006…

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