Question

find 3 rational numbers between 3 and 4 using the method of averages​

Answer 1

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CBSE

Mathematics

Grade 7

Rational numbers

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Find two rational numbers between 3 and 4 by mean method.

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Hint: To place few rational numbers between a and b, use the mean method. Therefore the rational numbers between a and b will be a+b2,a+a+b22,etc.

Complete step-by-step answer:

Use the mean method. According to the mean method, finding a rational number between two rational numbers x and y is to divide their sum by 2.

Therefore the rational numbers between a and b will be a+b2,a+a+b22,etc.

∴ By mean method, two rational numbers between 3 and 4 can be

3+42=72 and 3+722=134

Hence, the two rational Numbers between 3 and 4 are 72 and 134

Note:

By mean method, two rational numbers between 3 and 4 can be

3+42=72 and 3+722=134

Note that 3 <134<72< 4

It is the simplest method to find a rational number between two numbers.

Answer 2

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Hope it helps.