Q2 of 96 Page 9

Find three rational numbers between

(i) –1 and –2 (ii) 0.1 and 0.11


(iii) (iv)

(i) –1 and –2


Three rational numbers between –1 and –2 are –1.1, –1.2 and –1.3.


(ii) 0.1 and 0.11


Three rational numbers between 0.1 and 0.11 are 0.101, 0.102 and 0.103.


(iii)


We can write and


.


(iv)


LCM of 4 and 5 is 20.


We can write and


So, three rational numbers between


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4

Classify the following numbers as rational or irrational with justification:

1.010010001…

 1

Find which of the variables x, y, z and u represent rational numbers and which irrational numbers:

(i) x2 = 5 (ii) y2 = 9


(iii) z2 = .04 (iv) 3

Insert a rational number and an irrational number between the following:

(i) 2 and 3 (ii) 0 and 0.1


(iii) (iv)


(v) 0.15 and 0.16 (vi) √2 and √3


(vii) 2.357 and 3.121


(viii) .0001 and .001


(ix) 3.623623 and 0.484848


(x) 6.375289 and 6.375738.

4

Represent the following numbers on the number line:

7, 7.2, −3/2 , −12/5