The problem asks you to rewrite a list of numbers in order from least to greatest. Here’s a breakdown of the numbers:

1. $\sqrt{6} \approx 2.449$
2. $5^{-1} = \frac{1}{5} = 0.2$
3. $3 = 3$
4. $16\% = 0.16$
5. $1.6 \times 10^{-2} = 0.016$
6. $0.2 = 0.2$

Now, we need to order them:

• $0.016$
• $0.16$
• $0.2$ (two instances of this value)
• $\sqrt{6} \approx 2.449$
• $3$

So, the correct order from least to greatest is: $0.016, 0.16, 0.2, 0.2, \sqrt{6} \approx 2.449, 3$

Would you like any further details on the calculations?

Here are 5 related questions:

1. How do you compare percentages and fractions when ordering numbers?
2. How does scientific notation affect the comparison of numbers?
3. How do roots like $\sqrt{6}$ compare to integers?
4. Why do repeated values appear twice in the list?
5. What are some strategies for quickly ordering a mixed list of numbers?

Tip: When comparing different forms of numbers, it's helpful to convert them into decimals to make the comparison easier!