Represent ^@ \dfrac { 1 } { 2 }^@ on the number line. | Math Question and Answer | Edugain Sri Lanka

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Represent $\dfrac { 1 } { 2 }$ on the number line.

Answer:

Step by Step Explanation:

First let us recall the basic rules of representing rational numbers on the number line.
- If the rational number(fraction) is proper then, it lies between $0$ and $1$ .
- If the rational number(fraction) is improper then, first convert it into a mixed fraction. The rational number lies between the whole number and next whole number.
Let us use the steps above to represent 12 $\frac{1}{2}$ $\frac{1}{2}$ on the number line.
The rational number in the proper form. So, it lies between $0$ and $1$ .

Now, let us draw a line. Take a point $O$ on it. Let it represent $0$ .

From $O$ set off unit distances $OA$ and $OA'$ to the right and left of $O$ respectively.
As the given rational $\dfrac { 1 } { 2 }$ is positive. So, we move right from $O$ on the number line.

Let us divide $OA$ into $2$ equal parts. Let $OP$ be the segment showing $1$ parts out of $2$ .

The point $P$ represents the rational number $\dfrac { 1 } { 2 }$ .

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