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Represent each of the following rational numbers on the number line:
(i) $\frac{2}{7}$
(ii) $-\frac{13}{6}$
Given :
The given numbers are (i) $\frac{2}{7}$ and (ii) $-\frac{13}{6}$.
To do :
We have to represent the given numbers on the number line.
Solution :
(i) $\frac{2}{7}$
To represent $\frac{2}{7}$ on the number line,
1) Draw a number line.
2) As the number $\frac{2}{7}$ is a positive number so it will be on the right of zero. The number $\frac{2}{7}$ lies between 0 and 1.
3) Divide the line segment between 0 and 1 into 7 parts(7 is the denominator here).
4) Move two parts to the right of 0 (2 is the numerator here).
5) Therefore, A is the required point.
(ii) $-\frac{13}{6}$
To represent $-\frac{13}{6}$ on the number line,
1) Draw a number line.
2) As the number $-\frac{13}{6}$ is a negative number so it will be on the left of zero. The number $-\frac{13}{6} = -2 \frac{1}{6}$ lies between $-2$ and $-3$.
3) Divide the line segment between $-2$ and $-3$ into 6 parts(6 is the denominator here).
4) Move one part to the left of $-2$ (1 is the numerator in the fraction here).
5) Therefore, A is the required point.