Final answer:
To arrange {√2, 9/10, 28/13, 66 2/3 %} from least to greatest, you convert each to decimal form. The order is 66 2/3 % (least), 9/10, √2, and 28/13 (greatest).
Step-by-step explanation:
To order the set of real numbers {√2, 9/10, 28/13, 66 2/3 %} from least to greatest, we need to compare their decimal equivalents.
- √2 is approximately 1.414.
- 9/10 is exactly 0.9.
- 28/13 is approximately 2.154.
- 66 2/3 % is equivalent to 0.666 (repeating).
Putting these decimals in order from least to greatest, we get:
- 0.666 (66 2/3 %)
- 0.9 (9/10)
- √2
- 2.154 (28/13)
Therefore, the correct order from least to greatest is 66 2/3 %, 9/10, √2, and 28/13.