Discussion
Which of the following rational numbers lie between \(\frac{-7}{10}\) and \(\frac{-1}{4}\) ?
Answer: A
The numbers \(\frac{5}{-8}, \frac{-2}{3}, \frac{-3}{5}\) lie between the two.
As decimals, \(\frac{-7}{10} = -0.7\) and \(\frac{-1}{4} = -0.25\). The three numbers are -0.625, about -0.667 and -0.6, all greater than -0.7 and less than -0.25.
The other sets each contain a number outside the range: 0 and \(\frac{-1}{5} = -0.2\) are greater than -0.25, \(\frac{-3}{4} = -0.75\) is less than -0.7, and \(\frac{2}{3}\) is positive.
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