Question

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Find six rational numbers between 3 and 4.
2.
3
4​

Answer 1

Answer:

here instead of multiplying and dividing by 7 we can take any number greater than becoz if take number less than 7 we get rational numbers will be less than 6 .

Answer 2

Step-by-step explanation:

Given:-

Two numbers = 3 and 4

To find:-

Find six rational numbers between 3 and 4.

Solution:-

Given two numbers are 3 and 4

Required rational numbers = 6

Write the denominator as 6+1 = 7

Now

3 = 3×(7/7)

=> (3×7)/7

=>3= 21/7

and

4=4×(7/7)

=> (4×7)/7

=> 4 = 28/7

Now the rational numbers between them are

22/7; 23/7; 24/7; 25/7; 26/7; 27/7

3=21/7< 22/7<23/7<24/7<25/7<26/7<27/7<28/7=4

Answer:-

The 6 rational numbers between 3 and 4 are

22/7; 23/7; 24/7; 25/7; 26/7; 27/7

Used formulae:-

• We can find infinite number of many rational numbers between two given numbers by Dense Property.

• We use mean method for finding rational numbers between the two numbers.

• a and b are two numbers then the rational number between them is (a+b)/2