Question

Write three rational numbers between -2 and -1.

Answer 1

Answer:

-6/5,-7/5,-8/5,-14/10,-15/10,-18/10.......

Answer 2

$If \: we \:want \: to \:find \:three \: rational \\numbers \: between \: -2 \\ and \: -1 , then \: we \: write \: -2 \:and \:-1 \\as \: rational \: number \:with\\denominator \: 3 + 1 = 4$

$i.e., -2 = \frac{-2 \times 4 }{4} = \frac{-8}{4} \\and \: -1 = \frac{-1 \times 4 }{4} = \frac{-4}{4}$

$Now,$

$-2 = \frac{-8}{4}<\Big( \frac{-7}{4}, \frac{-6}{4}, \frac{-5}{4} \Big) < \frac{-4}{4} = -1$

Therefore.,

$\red{ Required \:3 \: rational\: numbers} \\\red{ between \: -2 \:and \:-1 \: are } \\\green { \: \frac{-7}{4}, \frac{-6}{4}, \frac{-5}{4} }$

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