find the six rational number between 3 and 4
Answers
Answer:
THE 6 RATIONAL NUMBERS BETWEEN 3 AND 4 ARE
3.1, 3.2, 3.3, 3.4, 3.5, 3.6
Step-by-step explanation:
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Answer:
Let a = 3 and b = 4
Let q1, q2, q3, q4, q5,.......... be the rational number between 3 and 4.
Then, we have
q1 = 1/2 x (a + b)
q1 = 1/2 x (3 + 4)
q1 = 1/2 x (7)
q1 = 7/2
Let q2 be the rational number between 3 and 7/2
Then, we have
q2 = 1/2 x (3 + 7/2)
q2 = 1/2 x 13/2
q2 = 13/4
Let q3 be the rational number between 3 and 13/4
Then, we have
q3 = 1/2 x (3 + 13/4)
q3 = 1/2 x 25/4
q3 = 25/8
Let q4 be the rational number between 3 and 25/8
Then, we have
q4 = 1/2 x (3 + 25/8)
q4 = 1/2 x 49/8
q4 = 49/16
Let q5 be the rational number between 3 and 49/16
Then, we have
q5 = 1/2 x (3 + 49/16)
q5 = 1/2 x 97/16
q5 = 97/32
Let q6 be the rational number between 3 and 97/32
Then, we have
q6 = 1/2 x (3 + 97/32)
q6 = 1/2 x 193/32
q6 = 193/64
In this way, we can find many rational numbers between 3 & 4 as given below.
3 < 193/64 < 97/32 < 49/16 < 25/8 < 13/4 < 7/2 < 4Let a = 3 and b = 4
Let q1, q2, q3, q4, q5,.......... be the rational number between 3 and 4.
Then, we have
q1 = 1/2 x (a + b)
q1 = 1/2 x (3 + 4)
q1 = 1/2 x (7)
q1 = 7/2
Let q2 be the rational number between 3 and 7/2
Then, we have
q2 = 1/2 x (3 + 7/2)
q2 = 1/2 x 13/2
q2 = 13/4
Let q3 be the rational number between 3 and 13/4
Then, we have
q3 = 1/2 x (3 + 13/4)
q3 = 1/2 x 25/4
q3 = 25/8
Let q4 be the rational number between 3 and 25/8
Then, we have
q4 = 1/2 x (3 + 25/8)
q4 = 1/2 x 49/8
q4 = 49/16
Let q5 be the rational number between 3 and 49/16
Then, we have
q5 = 1/2 x (3 + 49/16)
q5 = 1/2 x 97/16
q5 = 97/32
Let q6 be the rational number between 3 and 97/32
Then, we have
q6 = 1/2 x (3 + 97/32)
q6 = 1/2 x 193/32
q6 = 193/64
In this way, we can find many rational numbers between 3 & 4 as given below.
3 < 193/64 < 97/32 < 49/16 < 25/8 < 13/4 < 7/2 < 4