Respuesta :

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)