Converting and Ordering: 11cm, 0.1dm, 90mm, and 0.011m from Smallest to Largest

To solve this problem, we'll convert each given length to centimeters:

• The length $11$ cm is already in centimeters.
• The length $0.1$ dm; knowing $1$ dm = $10$ cm, gives $0.1 \times 10 = 1$ cm.
• The length $90$ mm; knowing $1$ cm = $10$ mm, gives $90 / 10 = 9$ cm.
• The length $0.011$ m; knowing $1$ m = $100$ cm, gives $0.011 \times 100 = 1.1$ cm.

Now, we list the lengths in centimeters:

1. $0.1$ dm = $1$ cm
2. $0.011$ m = $1.1$ cm
3. $90$ mm = $9$ cm
4. $11$ cm = $11$ cm

The correct order from smallest to largest is:

1. $0.1$ dm
2. $0.011$ m
3. $90$ mm
4. $11$ cm

Therefore, the order from smallest to largest is: $0.1$ dm, $0.011$ m, $90$ mm, $11$ cm.

Comparing with the options provided, the correct choice is option 2.