Final answer:
The numbers 9 x 101, 9%, and 0.009, when arranged from greatest to least, are in order: 9 x 101 (or 909), 9% (or 0.09), and 0.009.
Step-by-step explanation:
Order Numbers from Greatest to Least
To arrange the numbers 9 x 101, 9%, 0.009 from greatest to least, we first need to convert them to a common form for easier comparison.
- 9 x 101 – Expressed in standard notation as is because it's already a proper number representing 909.
- 9% – Converted to decimal form is 0.09.
- 0.009 – Remains the same as it's already in decimal form.
Comparing the numbers, it's clear that 909 is the largest, followed by 0.09, and finally 0.009 is the smallest. Therefore, arranged from greatest to least: 9 x 101, 9%, 0.009.