Question

5.2 and 5.3 write any three rational numbers between the two numbers

Answer 1

$\dfrac{521}{100},\dfrac{522}{100},\dfrac{523}{100}$

Three rational numbers are $\dfrac{521}{100}$, $\dfrac{522}{100}$ and $\dfrac{523}{100}$.

Given:

Two numbers 5.2 and 5.3

To find:

Any three rational numbers between 5.2 and 5.3

Step-by-step explanation:

The two given numbers are

5.2 = 5.20 = $\dfrac{520}{100}$ and 5.3 = 5.30 = $\dfrac{530}{100}$

Now three rational numbers between $\dfrac{520}{100}$ and $\dfrac{530}{100}$ are

$\dfrac{521}{100},\dfrac{522}{100},\dfrac{523}{100}$

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Answer 2

Answer:

5.225 , 5.250 AND 5.275

Step-by-step explanation:

Given that 5.2 and 5.3

To write the three rational number between the given number.

So,

Let a = 5.2 and b = 5.3

by using formula ,

(a+d), (a+2d) , (a+3d) , ..  , (a+nd)

where d = (b-a)/(n+1)

  n = the number of rational number between two rational number.

Now ,

            d = ( 5.3 - 5.2 ) / ( 3 + 1 )

            d = 0.1 / 4

            d = 1/40

            d = 0.025

First number ( a + d ) = 5.2 + 0.025

                                  = 5.225

Second number (a + 2d ) = 5.2 + 0.05

                                         = 5.25

Third number ( a + 3d ) = 5.2 + 0.075

                                      = 5.275

Therefore the three rational number between 5.2 and 5.3 is 5.225 , 5.250 and 5.275

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