Math, asked by nethramdnj, 7 months ago


Find five rational number between
3 and 5

Answers

Answered by thejasprajosh
16

Answer:

31/10

32/10

33/10

40/10

49/10

Step-by-step explanation:

3,5

3=30/10,5=50/10

31/10

32/10

33/10

40/10

49/10

etc .....

Answered by qwsuccess
3

Given: Two numbers 3 and 5

To find: Five rational numbers between the given numbers

Solution: To insert rational numbers between 3 and 5, we find the mean of 3 and 5

i.e., \frac{(3 \ + \ 5)}{2} = \frac{8}{2} = 4

We find that 3 < 4 < 5.

We now find another rational number between 3 and 4. For this, we need to find mean of 3 and 4.

i.e., \frac{(3 \ + \ 4)}{2} = \frac{7}{2}

We find that 3 < \frac{7}{2} < 4 < 5

We now find mean of 4 and 5

i.e., \frac{(4 \ + \ 5)}{2} = \frac{9}{2}

We find that 3 < \frac{7}{2} < 4 < \frac{9}{2} < 5

Now we find mean of 3 and 7/2

i.e., \frac{(3 \ + \ \frac{7}{2} )}{2} = \frac{\frac{6 \ + \ 7}{2} }{2} = \frac{13}{4}

We find that 3 < \frac{13}{4} &lt; \frac{7}{2} < 4 < \frac{9}{2} < 5

We now find mean 4 and \frac{9}{2}

i.e., \frac{(4 \ + \ \frac{9}{2} )}{2} = \frac{\frac{8 \ + \ 9}{2} }{2} = \frac{17}{4}

We find that 3 &lt; \frac{13}{4} &lt; \frac{7}{2} &lt; 4 &lt; \frac{17}{4} &lt; \frac{9}{2} &lt; 5

Hence, five rational numbers 3 and 5 are :

\frac{13}{4},  \frac{7}{2},  4,  \frac{17}{4} \ and \  \frac{9}{2}

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