Answer:
[tex]-0.4, -\frac{9}{16}, -1\frac{3}{8}, -1.55[/tex]
Step-by-step explanation:
The list of numbers given:
[tex]-1\frac{3}{8}, -0.4, -1.55, -\frac{9}{16}[/tex]
We need to arrange from greatest to least.
In order to arrange the numbers in descending order we will find the equivalent decimal value of each number.
a)[tex]-1\frac{3}{8}=-1.375[/tex]
b) [tex]-0.4[/tex]
c) [tex]-1.55[/tex]
d) [tex]-\frac{9}{16}=-0.5625[/tex]
Arranging the numbers in descending order
[tex]b>d>a>c[/tex] [since all the numbers are negative, so the number closest to 0 is the greatest]
Thus the correct order from greatest to least is:
[tex]-0.4, -\frac{9}{16}, -1\frac{3}{8}, -1.55[/tex] (Answer)