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Find two rational number between 3 and 4

Posted by Faiz Faiz 5 years ago

CBSE > Class 09 > Mathematics

3 answers

X-O Harsh & Parveen 5 years ago

A rational number between 3 and 4 is 1/2 (3 + 4) = 7/2. Then, 3 < 7/2 < 4 A rational number between 3 and 7/2 = 1/2 {3 + 7/2} = 1/2 (3/1 + 7/2) = 1/2 ((6 + 7)/2) = (1/2 × 13/2) = 13/4 A rational number between 7/2 and 4 = 1/2 {7/2 + 4} = 1/2 (7/2 + 4/1) = 1/2 ((7 + 8)/2) = {1/2 × 15/2} = 15/4 Therefore, 3 < 13/4 < 7/2 < 15/4 < 4 Hence, 13/4, 7/2 and 15/4 are the three rational numbers lying between 3 and 4.

Priya Rana 5 years ago

A rational number between 3 and 4 is 1/2 (3 + 4) = 7/2. Then, 3 < 7/2 < 4 A rational number between 3 and 7/2 = 1/2 {3 + 7/2} = 1/2 (3/1 + 7/2) = 1/2 ((6 + 7)/2) = (1/2 × 13/2) = 13/4 A rational number between 7/2 and 4 = 1/2 {7/2 + 4} = 1/2 (7/2 + 4/1) = 1/2 ((7 + 8)/2) = {1/2 × 15/2} = 15/4 Therefore, 3 < 13/4 < 7/2 < 15/4 < 4 Hence, 13/4, 7/2 and 15/4 are the three rational numbers lying between 3 and 4.

Yogita Ingle 5 years ago

A rational number between 3 and 4 =1/2(3+4)=7/2

Then 3<7/2<4

A rational number between 3 and 7/2

=1/23+7/2=1/2(3/1+72)

=1/2 (6+7)/2 =1/2+13/2=13/4

13/4, 7/2 are two rational number between 3 and 4

3<13/4<7/2<4.

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