Gujarat BoardEnglish MediumSTD 7MATHSRational Numbers2 Marks
Question
List five rational numbers between $–2$ and $–1.$
✓
Answer
We need to make the whole numbers as a rational number by multiplying and dividing the numerator and the denominator with the same number
Thus, We have,
$-2 = -\frac{2}{1}=\frac{-2 \times 10}{1 \times 10}=-\frac{20}{10}$
$- 1 = -\frac{1}{1}=\frac{-1 \times 10}{1 \times 10}=\frac{-10}{10}$
So, $-\frac{20}{10}<-\frac{19}{10}<-\frac{18}{10}<-\frac{17}{10}<-\frac{16}{10}<-\frac{15}{10}<-\frac{10}{10}$
or $- 2 <-\frac{19}{10}<-\frac{18}{10}<-\frac{17}{10}<-\frac{16}{10}<-\frac{15}{10}<-1$
$\therefore$ five rational numbers between $–2$ and $–1$ are
$-\frac{19}{10},-\frac{18}{10},-\frac{17}{10},-\frac{16}{10}$ and $-\frac{15}{10}$
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