Question

write two rational numbers between 7.010010001 and 7.020020002​

Answer 1

Two rational number between 7.010010001......... And 7.020020002... is 7.015015002.....and ..  7.017517502

Step-by-step explanation:

As we know that,

the sum of two rational number is also a rational number.

For example: a and b is the rational number,

$x$ ( assume ) =  $\frac{a+b}{2}$ is also a rational number,

$y$ (assume) = $\frac{x+b}{2}$is also a rational number.

Now, we have rational numbers are a ,$x$, $y$, b.     $(a>x>y>b)$

Now, rational number between 7.010010001......... And .........7.020020002

1st rational number is = $\frac{7.010010001+7.020020002}{2}$

                                    =7.015015002

2nd rational number is$=\frac{7.015015002+7.020020002}{2}$

                                      =7.017517502

#Learn More:

https://brainly.in/question/14833874

https://brainly.in/question/15374307

Answer 2

Two rational numbers between 7.010010001 and 7.020020002 are 7.0150150015 and 7.01251250125

Step-by-step explanation:

Given Data

To find - two rational numbers between 7.010010001 and 7.020020002

• The quotient of two integers is defined as the Rational number.
• The rational number are in fraction form
• Also the rational number may be an integer, terminating decimal, repeating  decimal.

The formula to find the rational number between two numbers is

                                      $\begin{aligned}&q_{1}=\frac{1}{2}(a+b)\\&q_{2}=\frac{1}{2}\left(a+q_{1}\right)\\&q_{3}=\frac{1}{2}\left(a+q_{2}\right)\end{aligned}$

Where $q_1, q_2, q_3$ are the rational numbers and a, b are the given two numbers.

Let us consider a = 7.010010001 and b = 7.020020002​

We have to find two rational numbers $q_1 and q_2$

$q_1 = \frac{1}{2} [a+b]$

$q_1 = \frac{1}{2} [7.010010001 + 7.020020002 ]$

$q_1 = \frac{1}{2} 14.030030003 ]$

$q_1 = 7.0150150015$

$q_2 = \frac{1}{2} [ a + q_1]$

$q_2 = \frac{1}{2} [ 7.010010001 + 7.0150150015]$

$q_2 = \frac{1}{2} [14 .0250250025]$

$q_2 = 7.01251250125$

Therefore the two rational numbers between 7.010010001 and 7.020020002​ are 7.0150150015 and 7.01251250125

To Learn More...

1) Find two rational numbers between -2and 5

    https://brainly.in/question/10003205

2) 7.010010001 is rational number justify

    https://brainly.in/question/3465474