Find 10 rational numbers between -1/9 and 4/9
Answers
Step-by-step explanation:
Rational number is any number that can express in the form of
q
p
of two integers, where 'q' cannot be zero.
i) First rational number between 3 and 4 can be calculated by finding average between them, which is
2
3+4
=
2
7
Now, we have three numbers i.e. 3,
2
7
and 4, so other remaining rational numbers can be calculated by taking average between 3 and
2
7
, and between
2
7
and 4.
ii) Second rational number between 3 and
2
7
can be calculated by finding average between them.
2
2
7
+3
=
2
2
7+6
=
4
13
iii) The third rational number between 4 and
2
7
can be calculated by finding the average between them.
2
2
7
+4
=
2
2
7+8
=
4
15
iv) Similarly fourth rational number between 3 and
4
13
can be calculated by finding the average between them.
2
4
13
+3
=
2
4
13+12
=
8
25
v) Similarly, fifth rational number between 4 and
4
13
can be calculated by finding average between them.
2
4
13
+4
=
2
4
13+16
=
8
29
Then the rational numbers between 3 and 4 are
2
7
,
4
13
,
4
15
,
8
25
,
8
29
Step-by-step explanation: