Question

Find the leftmost and the rightmost number when the following numbers are represented on the number line.

$-\frac{19}{10}$, $-\frac{9}{5}$, $-\frac{8}{5}$, $-\frac{3}{2}$, $-\frac{17}{10}$

• A. ,
• B. ,
• C. ,
• D. ,

Answer 1

The correct option is A

,

Take the decimal values of the given fractions and compare.
$-\frac{19}{10}$ = - 1.9
$-\frac{9}{5}$ = - 1.8
$-\frac{8}{5}$ = -1.6
$-\frac{3}{2}$ = -1.5
$-\frac{17}{10}$ = -1.7

-1.9 < -1.8 < -1.7 < -1.6 < -1.5

Hence, the ascending order of the given numbers is $-\frac{19}{10}$, $-\frac{9}{5}$, $-\frac{17}{10}$, $-\frac{8}{5}$, $-\frac{3}{2}$.

As we go from left to right on the number line the value of the number increases.
The leftmost and rightmost number on the number line are $\frac{-19}{10}$ and $\frac{-3}{2}$ respectively.