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Mathematics

Represent the following number on the number line:

143\dfrac{14}{3}

Rational Numbers

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Answer

Draw a number line and mark a point O on it, representing the integer 0. Each point of division represents an integer and each length between two successive integers is a unit length.

Convert the improper fraction into a mixed fraction to find the two integers between which it lies.

143=423\dfrac{14}{3} = 4\dfrac{2}{3}

So, 143\dfrac{14}{3} lies between 4 and 5.

Divide the unit length between 4 and 5 into 3 equal segments by making 2 equally spaced marks. Starting from the integer 4, count forward (to the right) 2 segments. Label this specific position as point B, representing 4234\dfrac{2}{3} i.e. 143\dfrac{14}{3}, as shown below :

Represent the following number on the number line: 14/3. Rational Numbers, RSA Mathematics Solutions ICSE Class 8.

Hence, the point B on the number line represents 143\mathbf{\dfrac{14}{3}}.

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