Lengths in centimeters and meters | duchess01 | Live - Free Printable

Problem Explanation:

The task involves converting measurements between meters (m) and centimeters (cm). The key relationships to remember are:
- 1 meter = 100 centimeters
- 1 centimeter = 0.01 meters

We will use these relationships to solve the problems step by step.

---

Part 1: Converting Meters to Centimeters and Centimeters to Meters

#### Converting Meters to Centimeters:
To convert meters to centimeters, multiply the number of meters by 100.

1. 6 m = ______ cm
\[
6 \times 100 = 600 \text{ cm}
\]

2. 8 m = ______ cm
\[
8 \times 100 = 800 \text{ cm}
\]

3. 5 m = ______ cm
\[
5 \times 100 = 500 \text{ cm}
\]

4. 9 m = ______ cm
\[
9 \times 100 = 900 \text{ cm}
\]

5. 12 m = ______ cm
\[
12 \times 100 = 1200 \text{ cm}
\]

#### Converting Centimeters to Meters:
To convert centimeters to meters, divide the number of centimeters by 100.

6. 400 cm = ______ m
\[
400 \div 100 = 4 \text{ m}
\]

7. 300 cm = ______ m
\[
300 \div 100 = 3 \text{ m}
\]

8. 1,300 cm = ______ m
\[
1300 \div 100 = 13 \text{ m}
\]

9. 1,000 cm = ______ m
\[
1000 \div 100 = 10 \text{ m}
\]

10. 1,400 cm = ______ m
\[
1400 \div 100 = 14 \text{ m}
\]

---

Part 2: Mixed Conversions

#### Converting Mixed Measurements to Centimeters:
For mixed measurements like "3 m 60 cm," convert the meters to centimeters and add the additional centimeters.

11. 3 m 60 cm = ______ cm
\[
3 \times 100 + 60 = 300 + 60 = 360 \text{ cm}
\]

12. 2 m 72 cm = ______ cm
\[
2 \times 100 + 72 = 200 + 72 = 272 \text{ cm}
\]

13. 9 m 15 cm = ______ cm
\[
9 \times 100 + 15 = 900 + 15 = 915 \text{ cm}
\]

14. 15 m 12 cm = ______ cm
\[
15 \times 100 + 12 = 1500 + 12 = 1512 \text{ cm}
\]

15. 22 m 80 cm = ______ cm
\[
22 \times 100 + 80 = 2200 + 80 = 2280 \text{ cm}
\]

16. 31 m 31 cm = ______ cm
\[
31 \times 100 + 31 = 3100 + 31 = 3131 \text{ cm}
\]

#### Converting Centimeters to Mixed Measurements:
For conversions like "311 cm," divide the total centimeters by 100 to get the meters, and the remainder will be the centimeters.

17. 311 cm = ______ m ______ cm
\[
311 \div 100 = 3 \text{ m with a remainder of } 11 \text{ cm}
\]
\[
311 \text{ cm} = 3 \text{ m } 11 \text{ cm}
\]

18. 205 cm = ______ m ______ cm
\[
205 \div 100 = 2 \text{ m with a remainder of } 5 \text{ cm}
\]
\[
205 \text{ cm} = 2 \text{ m } 5 \text{ cm}
\]

19. 999 cm = ______ m ______ cm
\[
999 \div 100 = 9 \text{ m with a remainder of } 99 \text{ cm}
\]
\[
999 \text{ cm} = 9 \text{ m } 99 \text{ cm}
\]

20. 1,111 cm = ______ m ______ cm
\[
1111 \div 100 = 11 \text{ m with a remainder of } 11 \text{ cm}
\]
\[
1111 \text{ cm} = 11 \text{ m } 11 \text{ cm}
\]

21. 1,650 cm = ______ m ______ cm
\[
1650 \div 100 = 16 \text{ m with a remainder of } 50 \text{ cm}
\]
\[
1650 \text{ cm} = 16 \text{ m } 50 \text{ cm}
\]

22. 1,890 cm = ______ m ______ cm
\[
1890 \div 100 = 18 \text{ m with a remainder of } 90 \text{ cm}
\]
\[
1890 \text{ cm} = 18 \text{ m } 90 \text{ cm}
\]

---

Final Answers:

\[
\boxed{
\begin{array}{ll}
6 \text{ m} = 600 \text{ cm} & 400 \text{ cm} = 4 \text{ m} \\
8 \text{ m} = 800 \text{ cm} & 300 \text{ cm} = 3 \text{ m} \\
5 \text{ m} = 500 \text{ cm} & 1,300 \text{ cm} = 13 \text{ m} \\
9 \text{ m} = 900 \text{ cm} & 1,000 \text{ cm} = 10 \text{ m} \\
12 \text{ m} = 1200 \text{ cm} & 1,400 \text{ cm} = 14 \text{ m} \\
3 \text{ m } 60 \text{ cm} = 360 \text{ cm} & 311 \text{ cm} = 3 \text{ m } 11 \text{ cm} \\
2 \text{ m } 72 \text{ cm} = 272 \text{ cm} & 205 \text{ cm} = 2 \text{ m } 5 \text{ cm} \\
9 \text{ m } 15 \text{ cm} = 915 \text{ cm} & 999 \text{ cm} = 9 \text{ m } 99 \text{ cm} \\
15 \text{ m } 12 \text{ cm} = 1512 \text{ cm} & 1,111 \text{ cm} = 11 \text{ m } 11 \text{ cm} \\
22 \text{ m } 80 \text{ cm} = 2280 \text{ cm} & 1,650 \text{ cm} = 16 \text{ m } 50 \text{ cm} \\
31 \text{ m } 31 \text{ cm} = 3131 \text{ cm} & 1,890 \text{ cm} = 18 \text{ m } 90 \text{ cm} \\
\end{array}
}
\]