Question

find three rational numbers between -1 and -2

Answer 1

you can see from the attachment

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Answer 2

Answer:

The three rational numbers between - 1 and -2 are  $-\frac{5}{4}$ , $-\frac{3}{2}$, $-\frac{7}{4}$  

Step-by-step explanation:

Given problem

Find three rational numbers between -1 and -2  

Note : Rational numbers between two numbers x and y are x + d, x + 2d and x + 3d, where   $d = \frac{y-x}{n +1 }$  and n = 3

⇒  given numbers are  $-1$ and $-2$  

⇒    d = $\frac{-2- (-1)}{3+1}$= $\frac{-2+1}{4}$ =  $\frac{-1}{4}$

required rational numbers are

⇒  x + d   =  $-1 +(- \frac{1}{4})$  = $-1 -\frac{1}{4}$  = $\frac{-4-1}{4}$ = $\frac{-5}{4}$  

⇒  x + 2d = $-1+[2(\frac{-1}{4} )]$ =  $-1 -\frac{1}{2}$  = $\frac{-2-1}{2}$  = $\frac{-3}{2}$  

⇒  x + 3d = $-1 + [3(\frac{-1}{4})]$ = $- 1 - \frac{3}{4}$  = $\frac{-4-3}{4}$  = $\frac{- 7}{4}$  

the three rational numbers between - 1 and -2 are  $-\frac{5}{4}$ , $-\frac{3}{2}$, $-\frac{7}{4}$