Question

find six rational numbers between 3 and 4​

Answer 1

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 < 4

Step-by-step explanation:

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