Question

The inequality below compares two rational numbers.



-8/18 > 17/27-



If the two numbers were plotted as values on a horizontal number line, which statement would be true?


A Both numbers lie to the right of 0, and − lies to the left of −.

B Both numbers lie to the left of 0, and − lies to the left of −.

C Both numbers lie to the right of 0, and − lies to the right of −.

D Both numbers lie to the left of 0, and − lies to the right of −.

Answer 1

The given fractions of $\mathbf{-\dfrac{8}{18}}$, and  $\mathbf{-\dfrac{17}{27}}$, when arranged on the number

line will give;

C. Both numbers will lie to the left of 0, and $-\dfrac{8}{18}$, lies to the right of $-\dfrac{17}{27}$

How can the positioning on the number line be found?

The given inequality is presented as follows;

$-\dfrac{8}{18} > -\dfrac{17}{27}$

Therefore, whereby the two numbers are plotted on the number line, we have;

Given that $-\dfrac{8}{18}$ is negative and less than 0, $-\dfrac{8}{18}$, will lie to the left of the

number line.

Given that $-\dfrac{17}{27}$ is less than $-\dfrac{8}{18}$, $-\dfrac{17}{27}$ will lie to the left of  $-\dfrac{8}{18}$ on the

number line.

Which gives;

• C. Both numbers will lie to the left of 0, and $-\dfrac{8}{18}$, lies to the right of $-\dfrac{17}{27}$

Learn more about the number line here:

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