Convert metres to centimetres. Convert centimetres to metres. Complete.

Here are the solutions for your conversion problems:

1) Convert metres to centimetres
To convert metres to centimetres, multiply the value in metres by 100.

a) Convert $5 \text{ m}$ to centimetres.

$$5 \text{ m} = 5 \times 100 \text{ cm} = 500 \text{ cm}$$

Student's answer: $300 \text{ cm}$. ❌ Incorrect.

b) Convert $10 \text{ m}$ to centimetres.

$$10 \text{ m} = 10 \times 100 \text{ cm} = 1000 \text{ cm}$$

Student's answer: $100 \text{ cm}$. ❌ Incorrect.

c) Convert $13 \text{ m}$ to centimetres.

$$13 \text{ m} = 13 \times 100 \text{ cm} = 1300 \text{ cm}$$

Student's answer: $130 \text{ cm}$. ❌ Incorrect.

d) Convert $32 \text{ m}$ to centimetres.

$$32 \text{ m} = 32 \times 100 \text{ cm} = 3200 \text{ cm}$$

Student's answer: $320 \text{ cm}$. ❌ Incorrect.

e) Convert $45 \text{ m}$ to centimetres.

$$45 \text{ m} = 45 \times 100 \text{ cm} = 4500 \text{ cm}$$

Student's answer: $450 \text{ cm}$. ❌ Incorrect.

f) Convert $50 \text{ m}$ to centimetres.

$$50 \text{ m} = 50 \times 100 \text{ cm} = 5000 \text{ cm}$$

Student's answer: $500 \text{ cm}$. ❌ Incorrect.

g) Convert $45 \frac{1}{4} \text{ m}$ to centimetres.

$$45 \frac{1}{4} \text{ m} = 45.25 \text{ m}$$ $$45.25 \text{ m} = 45.25 \times 100 \text{ cm} = 4525 \text{ cm}$$

Student's answer: $450 \text{ cm}$. ❌ Incorrect.

h) Convert $27 \frac{1}{2} \text{ m}$ to centimetres.

$$27 \frac{1}{2} \text{ m} = 27.5 \text{ m}$$ $$27.5 \text{ m} = 27.5 \times 100 \text{ cm} = \boxed{\text{2750 cm}}$$

i) Convert $12 \frac{2}{3} \text{ m}$ to centimetres.

$$12 \frac{2}{3} \text{ m} = \frac{38}{3} \text{ m}$$ $$\frac{38}{3} \text{ m} = \frac{38}{3} \times 100 \text{ cm} = \frac{3800}{3} \text{ cm} = \boxed{1266 \frac{2}{3} \text{ cm}}$$

2) Convert centimetres to metres
To convert centimetres to metres, divide the value in centimetres by 100.

a) Convert $300 \text{ cm}$ to metres.

$$300 \text{ cm} = \frac{300}{100} \text{ m} = 3 \text{ m}$$

Student's answer: $3 \text{ m}$. ✅ Correct.

b) Convert $800 \text{ cm}$ to metres.

$$800 \text{ cm} = \frac{800}{100} \text{ m} = 8 \text{ m}$$

Student's answer: $8 \text{ m}$. ✅ Correct.

c) Convert $1200 \text{ cm}$ to metres.

$$1200 \text{ cm} = \frac{1200}{100} \text{ m} = 12 \text{ m}$$

Student's answer: $12 \text{ m}$. ✅ Correct.

d) Convert $1500 \text{ cm}$ to metres.

$$1500 \text{ cm} = \frac{1500}{100} \text{ m} = 15 \text{ m}$$

Student's answer: $15 \text{ m}$. ✅ Correct.

e) Convert $2200 \text{ cm}$ to metres. (Assuming the question was $2200 \text{ cm}$ to match your answer)

$$2200 \text{ cm} = \frac{2200}{100} \text{ m} = 22 \text{ m}$$

Student's answer: $22 \text{ m}$. ✅ Correct.

f) Convert $5000 \text{ cm}$ to metres.

$$5000 \text{ cm} = \frac{5000}{100} \text{ m} = 50 \text{ m}$$

Student's answer: $50 \text{ m}$. ✅ Correct.

g) Convert $1725 \text{ cm}$ to metres.

$$1725 \text{ cm} = \frac{1725}{100} \text{ m} = 17 \frac{25}{100} \text{ m} = \boxed{17 \frac{1}{4} \text{ m}}$$

h) Convert $3250 \text{ cm}$ to metres.

$$3250 \text{ cm} = \frac{3250}{100} \text{ m} = 32 \frac{50}{100} \text{ m} = \boxed{32 \frac{1}{2} \text{ m}}$$

i) Convert $44775 \text{ cm}$ to metres.

$$44775 \text{ cm} = \frac{44775}{100} \text{ m} = 447 \frac{75}{100} \text{ m} = \boxed{447 \frac{3}{4} \text{ m}}$$

3) Complete

a) Convert $9 \text{ m}$ to centimetres.

$$9 \text{ m} = 9 \times 100 \text{ cm} = 900 \text{ cm}$$

Student's answer: $900 \text{ cm}$. ✅ Correct.

b) Convert $18 \text{ m}$ to centimetres.

$$18 \text{ m} = 18 \times 100 \text{ cm} = 1800 \text{ cm}$$

Student's answer: $1800 \text{ cm}$. ✅ Correct.

c) Convert $1300 \text{ cm}$ to metres.

$$1300 \text{ cm} = \frac{1300}{100} \text{ m} = 13 \text{ m}$$

Student's answer: $13 \text{ m}$. ✅ Correct.

d) Complete 2905 \text{ cm} = \text{___ m ___ cm}.

$$2905 \text{ cm} = 2900 \text{ cm} + 5 \text{ cm} = \frac{2900}{100} \text{ m} + 5 \text{ cm} = \boxed{29 \text{ m } 5 \text{ cm}}$$

e) Complete 4308 \text{ cm} = \text{___ m ___ cm}.

$$4308 \text{ cm} = 4300 \text{ cm} + 8 \text{ cm} = \frac{4300}{100} \text{ m} + 8 \text{ cm} = \boxed{43 \text{ m } 8 \text{ cm}}$$

f) Complete 2331 \text{ cm} = \text{___ m ___ cm}.

$$2331 \text{ cm} = 2300 \text{ cm} + 31 \text{ cm} = \frac{2300}{100} \text{ m} + 31 \text{ cm} = \boxed{23 \text{ m } 31 \text{ cm}}$$

g) Convert $123 \text{ cm}$ to metres, leaving the answer in fraction form.

$$123 \text{ cm} = \frac{123}{100} \text{ m} = \boxed{1 \frac{23}{100} \text{ m}}$$

Student's answer: $1 \frac{1}{4} \text{ m}$. ❌ Incorrect.

h) Convert $6450 \text{ cm}$ to metres, leaving the answer in fraction form.

$$6450 \text{ cm} = \frac{6450}{100} \text{ m} = 64 \frac{50}{100} \text{ m} = \boxed{64 \frac{1}{2} \text{ m}}$$

Student's answer: $64 \frac{1}{4} \text{ m}$. ❌ Incorrect.