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Q3 of 131 Page 1

Give three rational numbers lying between and .

The rational number lying between is

and

.

=

=

=

Therefore,

<

<

Now, the rational number lying between

and

is

=

=

Therefore,

<

<

The rational number lying between

and

is

=

=

=

Therefore,

<

<

Hence the three rational numbers lying between

and

are

.

More from this chapter

1 If a is a positive rational number and n is a positive integer greater than 1, prove that aⁿ is a rational number. 2 Write the following rational numbers in decimal form:
(i)

4 Insert a rational and an irrational number between 2 and 3. 5 How many rational numbers and irrational numbers can be inserted between 2 and 3 ?