Comparing millimeters and centimeters worksheet with ruler reference.

To solve the problem, we need to compare the given measurements in millimeters (mm) and centimeters (cm). Recall that:

- 1 cm = 10 mm
- To convert from cm to mm, multiply by 10.
- To convert from mm to cm, divide by 10.

Let's solve each comparison step by step:

---

1. \( 12 \, \text{mm} \, \_\_\_\_ \, 5 \, \text{cm} \)

- Convert \( 5 \, \text{cm} \) to mm:
\[
5 \, \text{cm} = 5 \times 10 = 50 \, \text{mm}
\]
- Compare \( 12 \, \text{mm} \) and \( 50 \, \text{mm} \):
\[
12 \, \text{mm} < 50 \, \text{mm}
\]

Answer: \( 12 \, \text{mm} < 5 \, \text{cm} \)

---

2. \( 20 \, \text{mm} \, \_\_\_\_ \, 3.5 \, \text{cm} \)

- Convert \( 3.5 \, \text{cm} \) to mm:
\[
3.5 \, \text{cm} = 3.5 \times 10 = 35 \, \text{mm}
\]
- Compare \( 20 \, \text{mm} \) and \( 35 \, \text{mm} \):
\[
20 \, \text{mm} < 35 \, \text{mm}
\]

Answer: \( 20 \, \text{mm} < 3.5 \, \text{cm} \)

---

3. \( 60 \, \text{mm} \, \_\_\_\_ \, 2 \, \text{cm} \)

- Convert \( 2 \, \text{cm} \) to mm:
\[
2 \, \text{cm} = 2 \times 10 = 20 \, \text{mm}
\]
- Compare \( 60 \, \text{mm} \) and \( 20 \, \text{mm} \):
\[
60 \, \text{mm} > 20 \, \text{mm}
\]

Answer: \( 60 \, \text{mm} > 2 \, \text{cm} \)

---

4. \( 75 \, \text{mm} \, \_\_\_\_ \, 7.5 \, \text{cm} \)

- Convert \( 7.5 \, \text{cm} \) to mm:
\[
7.5 \, \text{cm} = 7.5 \times 10 = 75 \, \text{mm}
\]
- Compare \( 75 \, \text{mm} \) and \( 75 \, \text{mm} \):
\[
75 \, \text{mm} = 75 \, \text{mm}
\]

Answer: \( 75 \, \text{mm} = 7.5 \, \text{cm} \)

---

5. \( 15 \, \text{mm} \, \_\_\_\_ \, 12 \, \text{cm} \)

- Convert \( 12 \, \text{cm} \) to mm:
\[
12 \, \text{cm} = 12 \times 10 = 120 \, \text{mm}
\]
- Compare \( 15 \, \text{mm} \) and \( 120 \, \text{mm} \):
\[
15 \, \text{mm} < 120 \, \text{mm}
\]

Answer: \( 15 \, \text{mm} < 12 \, \text{cm} \)

---

6. \( 90 \, \text{mm} \, \_\_\_\_ \, 8 \, \text{cm} \)

- Convert \( 8 \, \text{cm} \) to mm:
\[
8 \, \text{cm} = 8 \times 10 = 80 \, \text{mm}
\]
- Compare \( 90 \, \text{mm} \) and \( 80 \, \text{mm} \):
\[
90 \, \text{mm} > 80 \, \text{mm}
\]

Answer: \( 90 \, \text{mm} > 8 \, \text{cm} \)

---

7. \( 65 \, \text{mm} \, \_\_\_\_ \, 6.5 \, \text{cm} \)

- Convert \( 6.5 \, \text{cm} \) to mm:
\[
6.5 \, \text{cm} = 6.5 \times 10 = 65 \, \text{mm}
\]
- Compare \( 65 \, \text{mm} \) and \( 65 \, \text{mm} \):
\[
65 \, \text{mm} = 65 \, \text{mm}
\]

Answer: \( 65 \, \text{mm} = 6.5 \, \text{cm} \)

---

8. \( 40 \, \text{mm} \, \_\_\_\_ \, 5 \, \text{cm} \)

- Convert \( 5 \, \text{cm} \) to mm:
\[
5 \, \text{cm} = 5 \times 10 = 50 \, \text{mm}
\]
- Compare \( 40 \, \text{mm} \) and \( 50 \, \text{mm} \):
\[
40 \, \text{mm} < 50 \, \text{mm}
\]

Answer: \( 40 \, \text{mm} < 5 \, \text{cm} \)

---

9. \( 10 \, \text{mm} \, \_\_\_\_ \, 1.5 \, \text{cm} \)

- Convert \( 1.5 \, \text{cm} \) to mm:
\[
1.5 \, \text{cm} = 1.5 \times 10 = 15 \, \text{mm}
\]
- Compare \( 10 \, \text{mm} \) and \( 15 \, \text{mm} \):
\[
10 \, \text{mm} < 15 \, \text{mm}
\]

Answer: \( 10 \, \text{mm} < 1.5 \, \text{cm} \)

---

10. \( 100 \, \text{mm} \, \_\_\_\_ \, 10 \, \text{cm} \)

- Convert \( 10 \, \text{cm} \) to mm:
\[
10 \, \text{cm} = 10 \times 10 = 100 \, \text{mm}
\]
- Compare \( 100 \, \text{mm} \) and \( 100 \, \text{mm} \):
\[
100 \, \text{mm} = 100 \, \text{mm}
\]

Answer: \( 100 \, \text{mm} = 10 \, \text{cm} \)

---

Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & 12 \, \text{mm} < 5 \, \text{cm} \\
2. & 20 \, \text{mm} < 3.5 \, \text{cm} \\
3. & 60 \, \text{mm} > 2 \, \text{cm} \\
4. & 75 \, \text{mm} = 7.5 \, \text{cm} \\
5. & 15 \, \text{mm} < 12 \, \text{cm} \\
6. & 90 \, \text{mm} > 8 \, \text{cm} \\
7. & 65 \, \text{mm} = 6.5 \, \text{cm} \\
8. & 40 \, \text{mm} < 5 \, \text{cm} \\
9. & 10 \, \text{mm} < 1.5 \, \text{cm} \\
10. & 100 \, \text{mm} = 10 \, \text{cm}
\end{array}
}
\]