Question

Consider the set of real numbers: {√2, 9/10, 28/13, 66 2/3%} . drag the numbers to order them from least (top) to greatest (bottom).

Answer 1

To order the given set of real numbers from least to greatest, convert each to decimal form: √2 is about 1.41, 9/10 is 0.9, 28/13 is approximately 2.15, and 66 2/3% is roughly 0.6667. The correct order is 0.6667, 0.9, 1.41, 2.15.

Step-by-step explanation:

To order the set of real numbers {√2, 9/10, 28/13, 66 2/3%} from least to greatest, we first need to express all numbers in the same format. The square root of 2 (√2) is approximately 1.41. The fraction 9/10 is already in decimal form as 0.9. The fraction 28/13 is approximately 2.15. Lastly, 66 2/3% is equivalent to ⅓, which converts to approximately 0.6667 in decimal form. Now that all numbers are in decimal form, we can easily compare them to order them from least to greatest.

The ordered list from least to greatest is:

1. 
   
3. 0.6667 (66 2/3%)
4. 
   
6. 0.9 (9/10)
7. 
   
9. 1.41 (√2)
10. 
    
12. 2.15 (28/13)