Plotting negative rational numbers often requires careful attention to scale

MATHEMATICS · Multi-part · AoPS · Mathematics · Lines Graphing · Lines Graphing

Problem

Plotting negative rational numbers often requires careful attention to scale. Consider the numbers

-\dfrac{7}{4}

and

-\dfrac{11}{6}

. Answer the following. (i) Draw a number line from

-2

0

and plot the points corresponding to

-\dfrac{7}{4}

and

-\dfrac{11}{6}

. (ii) Arrange these two numbers in ascending order. (iii) Determine the distance between the two plotted points on the number line.