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Mathematics

Represent the following number on the number line:

−175\dfrac{-17}{5}

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.

−175=−325\dfrac{-17}{5} = -3\dfrac{2}{5}

So, −175\dfrac{-17}{5} lies between -3 and -4.

Divide the unit length between -3 and -4 into 5 equal segments by making 4 equally spaced marks. Starting from the integer -3, count backward (to the left) 2 segments. Label this specific position as point D, representing −325-3\dfrac{2}{5} i.e. −175\dfrac{-17}{5}, as shown below :

Represent the following number on the number line: -17/5. Rational Numbers, RSA Mathematics Solutions ICSE Class 8.

Hence, the point D on the number line represents −175\mathbf{\dfrac{-17}{5}}.

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