Question

find five rational numbers between 1 and 2​

Answer 1

Answer:Method:

The rational number between a and b is (a + b)/2

Hence rational number between 1 and 2 is (1+2)/2 = 3/2 = 1.5

Rational number between 1 and 3/2 is [1+(3/2)]/2 = 5/4 = 1.25

Rational number between 1 and 5/4 is [1+(5/4)]/2 = 9/8 = 1.125

Rational number between 3/2 and 2 is [(3/2) + 2]/2 = 7/4= 1.75

Rational number between 7/4 and 2 is [(7/4) + 2]/2 = 15/8 = 1.8

Therefore five rational numbers between 1 and 2 are 9/8, 5/4, 3/2, 7/4 and 15/8

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Answer 2

Answer:

FORMULA :- a+b/2 where a and b are the two given numbers.

SOLUTION :- 1+2/2 = 3/2 = 1.5

1+1.5/2 = 2.5/2 = 1.25

1+1.25/2 = 2.25 / 2 = 1.125

1+1.125/2 = 2.125 / 2 = 1.0625

1+1.0625/2= 2.0625/2 = 1.03125

Five rational numbers between 1 and 2 are:-

1. 1.5
2. 1.25
3. 1.125
4. 1.0625
5. 1.03125

THERE ARE INFINITELY MANY RATIONAL NUMBERS BETWEEN ANY TWO RATIONAL NUMBERS.

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