A rational number, in Mathematics, can be defined as any number which can be represented in the form of p/q where q ≠ 0. When the rational number is divided, the result will be in decimal form, which may be either terminating decimal or repeating decimal.
The rational number can be either positive or negative.
If the rational number is positive, both p and q are positive integers.
If the rational number takes the form -(p/q), then either p or q takes the negative value. It means that -(p/q) = (-p)/q = p/(-q).
Need to find: Five rational number between1 and 2
Given two numbers 1 and 2
Solution:
Let the two given numbers be a and b respectively
a = 1
b = 2
We know that the rational number between a and b is given by (a + b)/2
So the rational number between 1 and 2 = (1+2)/2 = 3/2
Then, Rational number between 1 and 3/2 =[1+(3/2)]/2 = 5/4
Then Rational number between 1 and 5/4 =[1+(5/4)]/2 = 9/8
Then Rational number between 3/2 and 2 =[(3/2) + 2]/2 = 7/4
Then Rational number between 7/4 and 2 =[(7/4) + 2]/2 = 15/8
Hence the five rational numbers between 1 and 2 are 3/2, 5/4, 7/4, 9/8, and 15/8.
The five rational numbers between 1 and 2 are 11/10, 12/10, 13/10, 14/10 and 15/10. To find out a set of rational numbers between two numbers suppose p and q we need to express numbers p and q in rational form. Hence, the five rational numbers between 1 and 2 are 11/10, 12/10, 13/10, 14/10 and 15/10.
Answers & Comments
Answer:
Find five rational number between1 and 2.
Answer:
A rational number, in Mathematics, can be defined as any number which can be represented in the form of p/q where q ≠ 0. When the rational number is divided, the result will be in decimal form, which may be either terminating decimal or repeating decimal.
The rational number can be either positive or negative.
If the rational number is positive, both p and q are positive integers.
If the rational number takes the form -(p/q), then either p or q takes the negative value. It means that -(p/q) = (-p)/q = p/(-q).
Need to find: Five rational number between1 and 2
Given two numbers 1 and 2
Solution:
Let the two given numbers be a and b respectively
a = 1
b = 2
We know that the rational number between a and b is given by (a + b)/2
So the rational number between 1 and 2 = (1+2)/2 = 3/2
Then, Rational number between 1 and 3/2 =[1+(3/2)]/2 = 5/4
Then Rational number between 1 and 5/4 =[1+(5/4)]/2 = 9/8
Then Rational number between 3/2 and 2 =[(3/2) + 2]/2 = 7/4
Then Rational number between 7/4 and 2 =[(7/4) + 2]/2 = 15/8
Hence the five rational numbers between 1 and 2 are 3/2, 5/4, 7/4, 9/8, and 15/8.
Step-by-step explanation:
The given rational numbers are 1 and 2.
Let us multiply both the numbers by
7
7
.
1×
7
7
=
7
7
and 2×
7
7
=
7
14
.
Thus, five rational numbers between
7
7
=1 and
7
14
=2 are
7
8
,
7
9
,
7
10
,
7
11
,
7
12
.
Verified answer
Answer:
The five rational numbers between 1 and 2 are 11/10, 12/10, 13/10, 14/10 and 15/10. To find out a set of rational numbers between two numbers suppose p and q we need to express numbers p and q in rational form. Hence, the five rational numbers between 1 and 2 are 11/10, 12/10, 13/10, 14/10 and 15/10.
Step-by-step explanation:
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