Q5 of 12 Page 18

Find three different irrational numbers between the rational numbers 5/7 and 9/11.



Now for putting irrational numbers between any two rational numbers, just take the values which are non terminating and non repeating and you can do that in infinitely many ways.


There are infinite numbers (both rational and irrational) between these two numbers.


Three of them are: 0.747447444744447.


0.75767778798..


0.7676676667666676…


More from this chapter

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3

Write the following fractions in decimal form and state of what type is the decimal expansion of each.

i. 36/100


ii. 1/11


iii.


iv. 3/13


v. 2/11


vi. 329/400

4

Express the following in the form of where p and q are integers and q ≠ 0.

i. 0.3


ii.


iii.


iv.

1

State which of the following numbers are rational and irrational.

i. 2-√5


ii. (3 + √23)-√23


iii.


iv.


v. 5π

 2

Rationalise the denominators of the following:

i.


ii.


iii.