converting units

red: write down how many
1. metres are in a kilometre
2. centimetres are in a metre
3. millimetres are in a centimetre

red: write down how many
1. millilitres are in a litre
2. grams are in a kilogram
3. minutes are in an hour

amber
1. convert 3kg into grams
2. covert 450cm in to metres
3. convert 360cm in to millimetres

green
1. convert 20 km/h in to m/s
2. what is the combined length of 2.5m + 0.5km + 32cm + 15mm?

Question

converting units

red: write down how many
1. metres are in a kilometre
2. centimetres are in a metre
3. millimetres are in a centimetre

red: write down how many
1. millilitres are in a litre
2. grams are in a kilogram
3. minutes are in an hour

amber
1. convert 3kg into grams
2. covert 450cm in to metres
3. convert 360cm in to millimetres

green
1. convert 20 km/h in to m/s
2. what is the combined length of 2.5m + 0.5km + 32cm + 15mm?

Accepted Answer

### Red Section (Left)
1. **Metres in a kilometre**
   A kilometre is a unit of length, and by definition, $ 1 \text{ kilometre} = 1000 \text{ metres} $.
   Answer: 1000

2. **Centimetres in a metre**
   A metre is divided into 100 centimetres (since "centi-" means 1/100). So, $ 1 \text{ metre} = 100 \text{ centimetres} $.
   Answer: 100

3. **Millimetres in a centimetre**
   A centimetre is divided into 10 millimetres (since "milli-" means 1/1000, but 1 cm = 10 mm). So, $ 1 \text{ centimetre} = 10 \text{ millimetres} $.
   Answer: 10

### Red Section (Right)
1. **Millilitres in a litre**
   A litre is a unit of volume, and $ 1 \text{ litre} = 1000 \text{ millilitres} $ (since "milli-" means 1/1000).
   Answer: 1000

2. **Grams in a kilogram**
   A kilogram is a unit of mass, and $ 1 \text{ kilogram} = 1000 \text{ grams} $ (since "kilo-" means 1000).
   Answer: 1000

3. **Minutes in an hour**
   By definition, $ 1 \text{ hour} = 60 \text{ minutes} $.
   Answer: 60

### Amber Section
1. **Convert 3 kg to grams**
   Step 1: Recall $ 1 \text{ kg} = 1000 \text{ g} $.
   Step 2: Multiply 3 kg by 1000: $ 3 \times 1000 = 3000 \text{ g} $.
   Answer: 3000 grams

2. **Convert 450 cm to metres**
   Step 1: Recall $ 1 \text{ m} = 100 \text{ cm} $, so divide by 100.
   Step 2: $ \frac{450}{100} = 4.5 \text{ m} $.
   Answer: 4.5 metres

3. **Convert 360 cm to millimetres**
   Step 1: Recall $ 1 \text{ cm} = 10 \text{ mm} $, so multiply by 10.
   Step 2: $ 360 \times 10 = 3600 \text{ mm} $.
   Answer: 3600 millimetres

### Green Section
1. **Convert 20 km/h to m/s**
   Step 1: Convert kilometres to metres: $ 20 \text{ km} = 20 \times 1000 = 20000 \text{ m} $.
   Step 2: Convert hours to seconds: $ 1 \text{ hour} = 3600 \text{ seconds} $.
   Step 3: Divide metres by seconds: $ \frac{20000}{3600} \approx 5.56 \text{ m/s} $ (or $ \frac{50}{9} \approx 5.56 $).
   Answer: $ \approx 5.56 \text{ m/s} $ (or $ \frac{50}{9} \text{ m/s} $)

2. **Combined length: $ 2.5 \text{ m} + 0.5 \text{ km} + 32 \text{ cm} + 15 \text{ mm} $**
   Step 1: Convert all to metres:
   - $ 0.5 \text{ km} = 0.5 \times 1000 = 500 \text{ m} $
   - $ 32 \text{ cm} = \frac{32}{100} = 0.32 \text{ m} $
   - $ 15 \text{ mm} = \frac{15}{1000} = 0.015 \text{ m} $
   Step 2: Add all values: $ 2.5 + 500 + 0.32 + 0.015 = 502.835 \text{ m} $.
   Answer: 502.835 metres

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Red Section (Left)

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