Question

Arrange the following rational numbers from greatest to least using the symbols zorz: 3, 5, 0.827, 0.075, and 0.827.

a) 5, 3, 0.827, 0.827, 0.075
b) 5, 3, 0.827, 0.075, 0.827
c) 3, 5, 0.827, 0.827, 0.075
d) 5, 3, 0.075, 0.827, 0.827

Answer 1

The rational numbers arranged from greatest to least are 5, 3, 0.827, 0.827, 0.075. The correct option for their arrangement is option (a).

Step-by-step explanation:

To arrange the given rational numbers (3, 5, 0.827, 0.075, and 0.827) from greatest to least, we need to compare each number. 5 is the largest number followed by 3. Next, the numbers 0.827 and 0.075 are considered. Since 0.827 is greater than 0.075, the order for these last three numbers is 0.827, 0.827 (as it appears twice in the list), and then 0.075.

The correct arrangement from greatest to least is therefore: 5 > 3 > 0.827 > 0.827 > 0.075, which corresponds to option (a) among the choices provided.