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


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Answer:

O 0 A P A' P' 1 1 2 -1

Step by Step Explanation:
  1. 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 ^@ \dfrac { 1 } { 2 }^@ on the number line.
  2. 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.
  3. 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 }^@.
    O 0 A P A' P' 1 1 2 -1

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