Find 6 rational number between 6.5 and 7.5
Answers
Answer:
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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, so
(i) The rational number between
5
3
and
5
4
is average of
5
3
and
5
4
2
1
(
5
3
+
5
4
)=
2
1
(
5
3+4
)=
10
7
(ii) The second rational number between
5
3
and
5
4
can be calculated bye calculating the average of
5
3
and
10
7
2
1
(
5
3
+
10
7
)=
2
1
(
10
6+7
)=
20
13
(iii) The third rational number between
5
3
and
5
4
can be calculated by calculating the average of
10
7
and
5
4
2
1
(
10
7
+
5
4
)=
2
1
(
10
7+8
)=
20
15
(iv) The fourth rational number between
5
3
and
5
4
can be calculated by calculating the average of
5
3
and
20
13
2
1
(
5
3
+
20
13
)=
2
1
(
20
12+13
)=
40
25
(v) The fifth rational number between
5
3
and
5
4
can be calculated by calculating the average of
20
13
and
5
4
2
1
(
20
13
+
5
4
)=
2
1
(
20
13+16
)=
40
29
Then five rational are
10
7
,
20
13
,
20
15
,
40
27
and
40
29
°°° Solution °°°
Verified by Toppr
Rational number is any number that can express in the form of qp of two integers, where 'q' cannot be zero, so
(i) The rational number between 53 and 54 is average of 53 and 54
21(53+54)=21(53+4)=107
(ii) The second rational number between 53and 54 can be calculated bye calculating the average of 53 and 107
21(53+107)=21(106+7)=2013
(iii) The third rational number between 53and 54 can be calculated by calculating the average of 107 and 54
21(107+54)=21(107+8)=2015
(iv) The fourth rational number between 53and 54 can be calculated by calculating the average of 53 and 2013
21(53+2013)=21(2012+13)=4025
(v) The fifth rational number between 53and 54 can be calculated by calculating the average of 2013 and 54
21(2013+54)=21(2013+16)=4029
Then five rational are 107,2013,2015,4027 and 4029