To find the total thickness of the stack in centimeters, let's break it down into two parts: the thickness of the books and the thickness of the paper sheets.

1. Thickness of the books:

   • Number of books = 5
   • Thickness of each book = 20 mm
   • Total thickness of books = $5 \times 20$ mm = 100 mm

2. Thickness of the paper sheets:

   • Number of paper sheets = 5
   • Thickness of each sheet = 0.016 mm
   • Total thickness of sheets = $5 \times 0.016$ mm = 0.08 mm

3. Total thickness of the stack:

   • Total thickness = Total thickness of books + Total thickness of sheets
   • Total thickness = 100 mm + 0.08 mm = 100.08 mm

Finally, to convert this to centimeters:

• $1$ cm = $10$ mm
• Total thickness in cm = $\frac{100.08 \text{ mm}}{10} = 10.008 \text{ cm}$

Total thickness of the stack is 10.008 cm.

Would you like further details or have any questions?

---

1. How would the total thickness change if each book was 25 mm thick?
2. What if there were 10 books instead of 5?
3. How does the thickness compare if the number of paper sheets doubled?
4. How do you convert millimeters to meters?
5. What if the thickness of the paper sheets was 0.02 mm?

Tip: Always ensure that units are consistent when calculating totals to avoid errors.