Question

find six rational number less than 2 but greater than -1​

Answer 1

Answer :

Required to find :

6 rational numbers between -1 and 2 such that it should be less than 2 and greater than 1 .

Solution :

I think you may be wondering how to find given any number of rational number between any two given rational numbers.

For example :

To find a rational number between two numbers a and b we need to apply a formula, that is

$\frac{a + b}{2}$

So,

Using this formula we are going to find the six

rational number by satisfying the condition.

Therefore coming to the solution,

The first rational number lies between -1 and 2 is

$\frac{ - 1 + 2}{2} = \frac{1}{2}$

So, First rational number is 1/2

Similarly , The second rational number lies between -1 and 1/2 . This is because we need to satisfy the given above condition

$\\ \frac{ - 1 + \frac{1}{2} }{2} = \frac{ \frac{ - 2 + 1}{2} }{2} = \frac{ \frac{- 1}{2} }{2} \\ \ = \frac{- 1}{2} \div \frac{2}{1} = \frac{- 1}{2} \times \frac{1}{2} = \frac{ - 1}{4}$

Second rational number = -1/4

Similarly, The third rational number lies between-1 and -1/4.

$\\ \frac{ - 1 + ( \frac{ - 1}{4} )}{2} = \frac{ - 1 - \frac{1}{4} }{2} = \frac{ \frac{ - 4 - 1}{4} }{2} \\ = \frac{ \frac{ - 5}{4} }{2} = \frac{ - 5}{8}$

Third rational number is -5/8

Similarly, fourth rational number lies between -1/4 and 1/2

$\\ \frac{ \frac{ - 1}{4} + \frac{1}{2} }{2} = \frac{ \frac{ - 1 + 2}{4} }{2} = \frac{ \frac{1}{4} }{2} = \frac{1}{8}$

Fourth rational number is 1/8

Similarly, fifth rational number lies between -1/4 and 1/8

$\\ \frac{ \frac{ - 1}{4} + \frac{1}{8} }{2} = \frac{ \frac{ - 2 + 1}{8} }{2} = \frac{ \frac{-1}{8} }{2} = \frac{ - 1}{16}$

Fifth rational number is -1/16

Similarly, sixth rational number lies between -1/4 and -5/8

$\\ \frac{ \frac{ - 1}{4} - \frac{5}{8} }{2} = \frac{ \frac{ - 2 - 5}{8} }{2} = \frac{ \frac{ - 7}{8} }{2} = \frac{ - 7}{16}$

Hence , sixth rational number is -7/16

Answer 2

Answer:

Pareho lang sa itaas po hehe...