Year 4: Changing units: km, m, cm, mm, kg, g, l and ml
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Changing units: km, m, cm, mm, kg, g, l and ml
We use different units for different sizes. A kilometre (km) is for long distances. A metre (m) is for the size of a room. A centimetre (cm) and a millimetre (mm) are for small things. For mass we use kilograms (kg) and grams (g). For capacity we use litres (l) and millilitres (ml).
| Length | Mass | Capacity |
|---|---|---|
| 10 mm = 1 cm | 1,000 g = 1 kg | 1,000 ml = 1 l |
| 100 cm = 1 m | ||
| 1,000 m = 1 km |
Kilo means 1,000. Centi means one hundredth. Milli means one thousandth. These words help you remember the facts.
Big unit to small unit: multiply. A cm is small, so you need lots of cm to make 3 m. 3 m = 3 × 100 = 300 cm. The number gets bigger. Small unit to big unit: divide. It takes only a few big units to make the same length. 600 cm = 600 ÷ 100 = 6 m. The number gets smaller.
Decimals of measures. Half of a metre is 50 cm, and half is 0.5, so 0.5 m = 50 cm. For 2.5 m, change 2 m and 0.5 m separately: 200 cm + 50 cm = 250 cm. A double number line shows both units at once.
More decimals: 1.5 kg = 1,500 g. 0.25 l = 250 ml (a quarter of 1,000). 0.75 l = 750 ml. 4.5 km = 4,500 m. And going the other way, 1,500 g = 1.5 kg and 250 cm = 2.5 m.
Mixed units. 3 m 40 cm means 3 m and 40 cm. To write it in cm, change the 3 m to 300 cm and add 40 cm: 340 cm. And 1,450 ml is 1 l and 450 ml.
Key words. To convert is to change from one unit to another. The unit is the name we give a measure (cm, kg, ml...). A decimal uses a point, like 2.5.
Key ideas
- 10 mm = 1 cm 100 cm = 1 m 1,000 m = 1 km 1,000 g = 1 kg 1,000 ml = 1 l.
- Big unit to small unit: multiply (the number gets bigger).
- Small unit to big unit: divide (the number gets smaller).
- Halves and quarters: 0.5 = half, 0.25 = a quarter, 0.75 = three quarters.
- 2.5 m = 250 cm and 1.5 kg = 1,500 g.
- Mixed units: 3 m 40 cm = 300 cm + 40 cm = 340 cm.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 100 centimetres in 1 metre, so multiply by 100 to change metres to centimetres.
- Remember the fact. 1 m is the same as 100 cm. A centimetre is a much smaller unit, so we will have a bigger number.1 m = 100 cm
- Multiply by 100. Each m is 100 cm. So 3 m is 3 lots of 100 cm. (Multiplying by 100 moves every digit 2 places to the left.)3 × 100 = 300
- Write the answer with its unit. A measure always needs its unit.3 m = 300 cm
Check. Go back: 300 ÷ 100 = 3. ✓
Watch out. Changing to a smaller unit gives a bigger number: 3 m is 300 cm, not 0.03.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 1,000 grams in 1 kilogram, so multiply by 1,000 to change kilograms to grams.
- Remember the fact. 1 kg is the same as 1,000 g. A gram is a much smaller unit, so we will have a bigger number.1 kg = 1,000 g
- Multiply by 1,000. Each kg is 1,000 g. So 5 kg is 5 lots of 1,000 g. (Multiplying by 1,000 moves every digit 3 places to the left.)5 × 1,000 = 5,000
- Write the answer with its unit. A measure always needs its unit.5 kg = 5,000 g
Check. Go back: 5,000 ÷ 1,000 = 5. ✓
Watch out. Changing to a smaller unit gives a bigger number: 5 kg is 5,000 g, not 0.005.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 1,000 millilitres in 1 litre, so multiply by 1,000 to change litres to millilitres.
- Remember the fact. 1 l is the same as 1,000 ml. A millilitre is a much smaller unit, so we will have a bigger number.1 l = 1,000 ml
- Multiply by 1,000. Each l is 1,000 ml. So 4 l is 4 lots of 1,000 ml. (Multiplying by 1,000 moves every digit 3 places to the left.)4 × 1,000 = 4,000
- Write the answer with its unit. A measure always needs its unit.4 l = 4,000 ml
Check. Go back: 4,000 ÷ 1,000 = 4. ✓
Watch out. Changing to a smaller unit gives a bigger number: 4 l is 4,000 ml, not 0.004.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 100 centimetres in 1 metre, so divide by 100 to change centimetres to metres.
- Remember the fact. 1 m is the same as 100 cm. A metre is a much bigger unit, so we will have a smaller number.100 cm = 1 m
- Divide by 100. Every 100 cm make 1 m. We find how many lots of 100 there are.600 ÷ 100 = 6
- Write the answer with its unit. A measure always needs its unit.600 cm = 6 m
Check. Go back: 6 × 100 = 600. ✓
Watch out. Changing to a bigger unit gives a smaller number. 600 cm is 6 m, not 60,000.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 1,000 grams in 1 kilogram, so divide by 1,000 to change grams to kilograms.
- Remember the fact. 1 kg is the same as 1,000 g. A kilogram is a much bigger unit, so we will have a smaller number.1,000 g = 1 kg
- Divide by 1,000. Every 1,000 g make 1 kg. We find how many lots of 1,000 there are.7,000 ÷ 1,000 = 7
- Write the answer with its unit. A measure always needs its unit.7,000 g = 7 kg
Check. Go back: 7 × 1,000 = 7,000. ✓
Watch out. Changing to a bigger unit gives a smaller number. 7,000 g is 7 kg, not 7,000,000.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 100 centimetres in 1 metre, so multiply by 100 to change metres to centimetres.
- Remember the fact. 1 m is the same as 100 cm. A centimetre is a much smaller unit, so we will have a bigger number.1 m = 100 cm
- Split the number into whole metres and a part. It is easier to change the whole metres and the part separately.2.5 m = 2 m + 0.5 m
- Change the whole metres. Multiply by 100.2 × 100 = 200 cm
- Change the part. Think about what fraction of a m it is.0.5 m is half of 1 m. Half of 100 = 50 cm
- Add the two answers together. 200 + 50 = 250 cm
Check. Go back: 250 ÷ 100 = 2.5. ✓
Watch out. Changing to a smaller unit gives a bigger number: 2.5 m is 250 cm, not 0.025.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 1,000 grams in 1 kilogram, so multiply by 1,000 to change kilograms to grams.
- Remember the fact. 1 kg is the same as 1,000 g. A gram is a much smaller unit, so we will have a bigger number.1 kg = 1,000 g
- Split the number into whole kilograms and a part. It is easier to change the whole kilograms and the part separately.1.5 kg = 1 kg + 0.5 kg
- Change the whole kilograms. Multiply by 1,000.1 × 1,000 = 1,000 g
- Change the part. Think about what fraction of a kg it is.0.5 kg is half of 1 kg. Half of 1,000 = 500 g
- Add the two answers together. 1,000 + 500 = 1,500 g
Check. Go back: 1,500 ÷ 1,000 = 1.5. ✓
Watch out. Changing to a smaller unit gives a bigger number: 1.5 kg is 1,500 g, not 0.0015.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 1,000 metres in 1 kilometre, so divide by 1,000 to change metres to kilometres.
- Remember the fact. 1 km is the same as 1,000 m. A kilometre is a much bigger unit, so we will have a smaller number.1,000 m = 1 km
- Divide by 1,000 and keep the remainder. The whole kilometres come from the lots of 1,000 m. The remainder is the part left over.2,500 ÷ 1,000 = 2 remainder 500
- Write the remainder as a part of 1 km. 500 m out of 1,000 m is 500/1,000 of a km.500 m is half of 1,000 m, so 500 m = 0.5 km
- Put the whole kilometres and the part together. The whole number goes before the decimal point.2 + 0.5 = 2.5 km
Check. Go back: 2.5 × 1,000 = 2,500. ✓
Watch out. Changing to a bigger unit gives a smaller number. 2,500 m is 2.5 km, not 2,500,000.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 1,000 millilitres in 1 litre, so multiply by 1,000 to change litres to millilitres.
- Remember the fact. 1 l is the same as 1,000 ml. A millilitre is a much smaller unit, so we will have a bigger number.1 l = 1,000 ml
- Split the number into whole litres and a part. It is easier to change the whole litres and the part separately.0.75 l is just a part of 1 l.
- Change the part. Think about what fraction of a l it is.0.75 l is three quarters of 1 l. 1,000 ÷ 4 = 250, then 250 × 3 = 750 ml
So 0.75 l = 750 ml
Check. Go back: 750 ÷ 1,000 = 0.75. ✓
Watch out. Changing to a smaller unit gives a bigger number: 0.75 l is 750 ml, not 0.00075.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 10 millimetres in 1 centimetre, so divide by 10 to change millimetres to centimetres.
- Remember the fact. 1 cm is the same as 10 mm. A centimetre is a much bigger unit, so we will have a smaller number.10 mm = 1 cm
- Divide by 10 and keep the remainder. The whole centimetres come from the lots of 10 mm. The remainder is the part left over.45 ÷ 10 = 4 remainder 5
- Write the remainder as a part of 1 cm. 5 mm out of 10 mm is 5/10 of a cm.5 mm is half of 10 mm, so 5 mm = 0.5 cm
- Put the whole centimetres and the part together. The whole number goes before the decimal point.4 + 0.5 = 4.5 cm
Check. Go back: 4.5 × 10 = 45. ✓
Watch out. Changing to a bigger unit gives a smaller number. 45 mm is 4.5 cm, not 450.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. Change the metres to centimetres, then add the centimetres that are left over.
- Change the whole metres to cm. 1 m = 100 cm, so multiply by 100.3 × 100 = 300 cm
- Add the extra cm. Put the two parts together.300 + 40 = 340 cm
- Write the answer. Use the small unit only.3 m 40 cm = 340 cm
Check. 340 ÷ 100 = 3 remainder 40. ✓
Watch out. Change the metres first. 3 m is 300 cm, not 3 cm. Then add the 40 cm.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. Divide by 1,000 to find the whole litres. The remainder is the millilitres that are left over.
- Divide by 1,000. Every 1,000 ml make 1 l.1,450 ÷ 1,000 = 1 remainder 450
- Say what the answer means. The whole number is the litres. The remainder is the millilitres left over.1 l and 450 ml
- Write the answer. Put the big unit first, then the small unit.1,450 ml = 1 l 450 ml
Check. 1 × 1,000 + 450 = 1,450. ✓
Watch out. The remainder is not a decimal. It is the part left over, written in the smaller unit.
Watch out
Multiply or divide? Ask yourself: am I going to a smaller unit (more of them: multiply) or a bigger unit (fewer of them: divide)? Check the answer makes sense: 3 m is 300 cm, not 0.03 cm. And 3 m 40 cm is 340 cm, not 3.40 cm and not 34 cm.Exercise 7D Changing units
Non-calculatorKey words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 100 centimetres in 1 metre, so multiply by 100 to change metres to centimetres.
- Remember the fact. 1 m is the same as 100 cm. A centimetre is a much smaller unit, so we will have a bigger number.1 m = 100 cm
- Multiply by 100. Each m is 100 cm. So 4 m is 4 lots of 100 cm. (Multiplying by 100 moves every digit 2 places to the left.)4 × 100 = 400
- Write the answer with its unit. A measure always needs its unit.4 m = 400 cm
Check. Go back: 400 ÷ 100 = 4. ✓
Watch out. Changing to a smaller unit gives a bigger number: 4 m is 400 cm, not 0.04.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 100 centimetres in 1 metre, so multiply by 100 to change metres to centimetres.
- Remember the fact. 1 m is the same as 100 cm. A centimetre is a much smaller unit, so we will have a bigger number.1 m = 100 cm
- Multiply by 100. Each m is 100 cm. So 9 m is 9 lots of 100 cm. (Multiplying by 100 moves every digit 2 places to the left.)9 × 100 = 900
- Write the answer with its unit. A measure always needs its unit.9 m = 900 cm
Check. Go back: 900 ÷ 100 = 9. ✓
Watch out. Changing to a smaller unit gives a bigger number: 9 m is 900 cm, not 0.09.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 100 centimetres in 1 metre, so multiply by 100 to change metres to centimetres.
- Remember the fact. 1 m is the same as 100 cm. A centimetre is a much smaller unit, so we will have a bigger number.1 m = 100 cm
- Multiply by 100. Each m is 100 cm. So 12 m is 12 lots of 100 cm. (Multiplying by 100 moves every digit 2 places to the left.)12 × 100 = 1,200
- Write the answer with its unit. A measure always needs its unit.12 m = 1,200 cm
Check. Go back: 1,200 ÷ 100 = 12. ✓
Watch out. Changing to a smaller unit gives a bigger number: 12 m is 1,200 cm, not 0.12.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 100 centimetres in 1 metre, so multiply by 100 to change metres to centimetres.
- Remember the fact. 1 m is the same as 100 cm. A centimetre is a much smaller unit, so we will have a bigger number.1 m = 100 cm
- Multiply by 100. Each m is 100 cm. So 30 m is 30 lots of 100 cm. (Multiplying by 100 moves every digit 2 places to the left.)30 × 100 = 3,000
- Write the answer with its unit. A measure always needs its unit.30 m = 3,000 cm
Check. Go back: 3,000 ÷ 100 = 30. ✓
Watch out. Changing to a smaller unit gives a bigger number: 30 m is 3,000 cm, not 0.3.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 1,000 grams in 1 kilogram, so multiply by 1,000 to change kilograms to grams.
- Remember the fact. 1 kg is the same as 1,000 g. A gram is a much smaller unit, so we will have a bigger number.1 kg = 1,000 g
- Multiply by 1,000. Each kg is 1,000 g. So 3 kg is 3 lots of 1,000 g. (Multiplying by 1,000 moves every digit 3 places to the left.)3 × 1,000 = 3,000
- Write the answer with its unit. A measure always needs its unit.3 kg = 3,000 g
Check. Go back: 3,000 ÷ 1,000 = 3. ✓
Watch out. Changing to a smaller unit gives a bigger number: 3 kg is 3,000 g, not 0.003.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 1,000 grams in 1 kilogram, so multiply by 1,000 to change kilograms to grams.
- Remember the fact. 1 kg is the same as 1,000 g. A gram is a much smaller unit, so we will have a bigger number.1 kg = 1,000 g
- Multiply by 1,000. Each kg is 1,000 g. So 8 kg is 8 lots of 1,000 g. (Multiplying by 1,000 moves every digit 3 places to the left.)8 × 1,000 = 8,000
- Write the answer with its unit. A measure always needs its unit.8 kg = 8,000 g
Check. Go back: 8,000 ÷ 1,000 = 8. ✓
Watch out. Changing to a smaller unit gives a bigger number: 8 kg is 8,000 g, not 0.008.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 1,000 millilitres in 1 litre, so multiply by 1,000 to change litres to millilitres.
- Remember the fact. 1 l is the same as 1,000 ml. A millilitre is a much smaller unit, so we will have a bigger number.1 l = 1,000 ml
- Multiply by 1,000. Each l is 1,000 ml. So 5 l is 5 lots of 1,000 ml. (Multiplying by 1,000 moves every digit 3 places to the left.)5 × 1,000 = 5,000
- Write the answer with its unit. A measure always needs its unit.5 l = 5,000 ml
Check. Go back: 5,000 ÷ 1,000 = 5. ✓
Watch out. Changing to a smaller unit gives a bigger number: 5 l is 5,000 ml, not 0.005.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 1,000 millilitres in 1 litre, so multiply by 1,000 to change litres to millilitres.
- Remember the fact. 1 l is the same as 1,000 ml. A millilitre is a much smaller unit, so we will have a bigger number.1 l = 1,000 ml
- Multiply by 1,000. Each l is 1,000 ml. So 12 l is 12 lots of 1,000 ml. (Multiplying by 1,000 moves every digit 3 places to the left.)12 × 1,000 = 12,000
- Write the answer with its unit. A measure always needs its unit.12 l = 12,000 ml
Check. Go back: 12,000 ÷ 1,000 = 12. ✓
Watch out. Changing to a smaller unit gives a bigger number: 12 l is 12,000 ml, not 0.012.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 1,000 metres in 1 kilometre, so multiply by 1,000 to change kilometres to metres.
- Remember the fact. 1 km is the same as 1,000 m. A metre is a much smaller unit, so we will have a bigger number.1 km = 1,000 m
- Multiply by 1,000. Each km is 1,000 m. So 6 km is 6 lots of 1,000 m. (Multiplying by 1,000 moves every digit 3 places to the left.)6 × 1,000 = 6,000
- Write the answer with its unit. A measure always needs its unit.6 km = 6,000 m
Check. Go back: 6,000 ÷ 1,000 = 6. ✓
Watch out. Changing to a smaller unit gives a bigger number: 6 km is 6,000 m, not 0.006.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 1,000 metres in 1 kilometre, so multiply by 1,000 to change kilometres to metres.
- Remember the fact. 1 km is the same as 1,000 m. A metre is a much smaller unit, so we will have a bigger number.1 km = 1,000 m
- Multiply by 1,000. Each km is 1,000 m. So 20 km is 20 lots of 1,000 m. (Multiplying by 1,000 moves every digit 3 places to the left.)20 × 1,000 = 20,000
- Write the answer with its unit. A measure always needs its unit.20 km = 20,000 m
Check. Go back: 20,000 ÷ 1,000 = 20. ✓
Watch out. Changing to a smaller unit gives a bigger number: 20 km is 20,000 m, not 0.02.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 10 millimetres in 1 centimetre, so multiply by 10 to change centimetres to millimetres.
- Remember the fact. 1 cm is the same as 10 mm. A millimetre is a much smaller unit, so we will have a bigger number.1 cm = 10 mm
- Multiply by 10. Each cm is 10 mm. So 5 cm is 5 lots of 10 mm. (Multiplying by 10 moves every digit 1 place to the left.)5 × 10 = 50
- Write the answer with its unit. A measure always needs its unit.5 cm = 50 mm
Check. Go back: 50 ÷ 10 = 5. ✓
Watch out. Changing to a smaller unit gives a bigger number: 5 cm is 50 mm, not 0.5.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 10 millimetres in 1 centimetre, so multiply by 10 to change centimetres to millimetres.
- Remember the fact. 1 cm is the same as 10 mm. A millimetre is a much smaller unit, so we will have a bigger number.1 cm = 10 mm
- Multiply by 10. Each cm is 10 mm. So 18 cm is 18 lots of 10 mm. (Multiplying by 10 moves every digit 1 place to the left.)18 × 10 = 180
- Write the answer with its unit. A measure always needs its unit.18 cm = 180 mm
Check. Go back: 180 ÷ 10 = 18. ✓
Watch out. Changing to a smaller unit gives a bigger number: 18 cm is 180 mm, not 1.8.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 10 millimetres in 1 centimetre, so multiply by 10 to change centimetres to millimetres.
- Remember the fact. 1 cm is the same as 10 mm. A millimetre is a much smaller unit, so we will have a bigger number.1 cm = 10 mm
- Multiply by 10. Each cm is 10 mm. So 40 cm is 40 lots of 10 mm. (Multiplying by 10 moves every digit 1 place to the left.)40 × 10 = 400
- Write the answer with its unit. A measure always needs its unit.40 cm = 400 mm
Check. Go back: 400 ÷ 10 = 40. ✓
Watch out. Changing to a smaller unit gives a bigger number: 40 cm is 400 mm, not 4.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 100 centimetres in 1 metre, so divide by 100 to change centimetres to metres.
- Remember the fact. 1 m is the same as 100 cm. A metre is a much bigger unit, so we will have a smaller number.100 cm = 1 m
- Divide by 100. Every 100 cm make 1 m. We find how many lots of 100 there are.700 ÷ 100 = 7
- Write the answer with its unit. A measure always needs its unit.700 cm = 7 m
Check. Go back: 7 × 100 = 700. ✓
Watch out. Changing to a bigger unit gives a smaller number. 700 cm is 7 m, not 70,000.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 1,000 grams in 1 kilogram, so divide by 1,000 to change grams to kilograms.
- Remember the fact. 1 kg is the same as 1,000 g. A kilogram is a much bigger unit, so we will have a smaller number.1,000 g = 1 kg
- Divide by 1,000. Every 1,000 g make 1 kg. We find how many lots of 1,000 there are.4,000 ÷ 1,000 = 4
- Write the answer with its unit. A measure always needs its unit.4,000 g = 4 kg
Check. Go back: 4 × 1,000 = 4,000. ✓
Watch out. Changing to a bigger unit gives a smaller number. 4,000 g is 4 kg, not 4,000,000.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 1,000 millilitres in 1 litre, so divide by 1,000 to change millilitres to litres.
- Remember the fact. 1 l is the same as 1,000 ml. A litre is a much bigger unit, so we will have a smaller number.1,000 ml = 1 l
- Divide by 1,000. Every 1,000 ml make 1 l. We find how many lots of 1,000 there are.9,000 ÷ 1,000 = 9
- Write the answer with its unit. A measure always needs its unit.9,000 ml = 9 l
Check. Go back: 9 × 1,000 = 9,000. ✓
Watch out. Changing to a bigger unit gives a smaller number. 9,000 ml is 9 l, not 9,000,000.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 1,000 metres in 1 kilometre, so divide by 1,000 to change metres to kilometres.
- Remember the fact. 1 km is the same as 1,000 m. A kilometre is a much bigger unit, so we will have a smaller number.1,000 m = 1 km
- Divide by 1,000. Every 1,000 m make 1 km. We find how many lots of 1,000 there are.5,000 ÷ 1,000 = 5
- Write the answer with its unit. A measure always needs its unit.5,000 m = 5 km
Check. Go back: 5 × 1,000 = 5,000. ✓
Watch out. Changing to a bigger unit gives a smaller number. 5,000 m is 5 km, not 5,000,000.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 100 centimetres in 1 metre, so divide by 100 to change centimetres to metres.
- Remember the fact. 1 m is the same as 100 cm. A metre is a much bigger unit, so we will have a smaller number.100 cm = 1 m
- Divide by 100. Every 100 cm make 1 m. We find how many lots of 100 there are.600 ÷ 100 = 6
- Write the answer with its unit. A measure always needs its unit.600 cm = 6 m
Check. Go back: 6 × 100 = 600. ✓
Watch out. Changing to a bigger unit gives a smaller number. 600 cm is 6 m, not 60,000.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 10 millimetres in 1 centimetre, so divide by 10 to change millimetres to centimetres.
- Remember the fact. 1 cm is the same as 10 mm. A centimetre is a much bigger unit, so we will have a smaller number.10 mm = 1 cm
- Divide by 10. Every 10 mm make 1 cm. We find how many lots of 10 there are.90 ÷ 10 = 9
- Write the answer with its unit. A measure always needs its unit.90 mm = 9 cm
Check. Go back: 9 × 10 = 90. ✓
Watch out. Changing to a bigger unit gives a smaller number. 90 mm is 9 cm, not 900.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 1,000 metres in 1 kilometre, so multiply by 1,000 to change kilometres to metres.
- Remember the fact. 1 km is the same as 1,000 m. A metre is a much smaller unit, so we will have a bigger number.1 km = 1,000 m
- Split the number into whole kilometres and a part. It is easier to change the whole kilometres and the part separately.1.5 km = 1 km + 0.5 km
- Change the whole kilometres. Multiply by 1,000.1 × 1,000 = 1,000 m
- Change the part. Think about what fraction of a km it is.0.5 km is half of 1 km. Half of 1,000 = 500 m
- Add the two answers together. 1,000 + 500 = 1,500 m
Check. Go back: 1,500 ÷ 1,000 = 1.5. ✓
Watch out. Changing to a smaller unit gives a bigger number: 1.5 km is 1,500 m, not 0.0015.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 1,000 grams in 1 kilogram, so multiply by 1,000 to change kilograms to grams.
- Remember the fact. 1 kg is the same as 1,000 g. A gram is a much smaller unit, so we will have a bigger number.1 kg = 1,000 g
- Split the number into whole kilograms and a part. It is easier to change the whole kilograms and the part separately.2.5 kg = 2 kg + 0.5 kg
- Change the whole kilograms. Multiply by 1,000.2 × 1,000 = 2,000 g
- Change the part. Think about what fraction of a kg it is.0.5 kg is half of 1 kg. Half of 1,000 = 500 g
- Add the two answers together. 2,000 + 500 = 2,500 g
Check. Go back: 2,500 ÷ 1,000 = 2.5. ✓
Watch out. Changing to a smaller unit gives a bigger number: 2.5 kg is 2,500 g, not 0.0025.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 1,000 millilitres in 1 litre, so multiply by 1,000 to change litres to millilitres.
- Remember the fact. 1 l is the same as 1,000 ml. A millilitre is a much smaller unit, so we will have a bigger number.1 l = 1,000 ml
- Split the number into whole litres and a part. It is easier to change the whole litres and the part separately.0.5 l is just a part of 1 l.
- Change the part. Think about what fraction of a l it is.0.5 l is half of 1 l. Half of 1,000 = 500 ml
So 0.5 l = 500 ml
Check. Go back: 500 ÷ 1,000 = 0.5. ✓
Watch out. Changing to a smaller unit gives a bigger number: 0.5 l is 500 ml, not 0.0005.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 100 centimetres in 1 metre, so multiply by 100 to change metres to centimetres.
- Remember the fact. 1 m is the same as 100 cm. A centimetre is a much smaller unit, so we will have a bigger number.1 m = 100 cm
- Split the number into whole metres and a part. It is easier to change the whole metres and the part separately.3.5 m = 3 m + 0.5 m
- Change the whole metres. Multiply by 100.3 × 100 = 300 cm
- Change the part. Think about what fraction of a m it is.0.5 m is half of 1 m. Half of 100 = 50 cm
- Add the two answers together. 300 + 50 = 350 cm
Check. Go back: 350 ÷ 100 = 3.5. ✓
Watch out. Changing to a smaller unit gives a bigger number: 3.5 m is 350 cm, not 0.035.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 1,000 millilitres in 1 litre, so multiply by 1,000 to change litres to millilitres.
- Remember the fact. 1 l is the same as 1,000 ml. A millilitre is a much smaller unit, so we will have a bigger number.1 l = 1,000 ml
- Split the number into whole litres and a part. It is easier to change the whole litres and the part separately.0.25 l is just a part of 1 l.
- Change the part. Think about what fraction of a l it is.0.25 l is a quarter of 1 l. 1,000 ÷ 4 = 250 ml
So 0.25 l = 250 ml
Check. Go back: 250 ÷ 1,000 = 0.25. ✓
Watch out. Changing to a smaller unit gives a bigger number: 0.25 l is 250 ml, not 0.00025.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 100 centimetres in 1 metre, so multiply by 100 to change metres to centimetres.
- Remember the fact. 1 m is the same as 100 cm. A centimetre is a much smaller unit, so we will have a bigger number.1 m = 100 cm
- Split the number into whole metres and a part. It is easier to change the whole metres and the part separately.1.75 m = 1 m + 0.75 m
- Change the whole metres. Multiply by 100.1 × 100 = 100 cm
- Change the part. Think about what fraction of a m it is.0.75 m is three quarters of 1 m. 100 ÷ 4 = 25, then 25 × 3 = 75 cm
- Add the two answers together. 100 + 75 = 175 cm
Check. Go back: 175 ÷ 100 = 1.75. ✓
Watch out. Changing to a smaller unit gives a bigger number: 1.75 m is 175 cm, not 0.0175.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 100 centimetres in 1 metre, so divide by 100 to change centimetres to metres.
- Remember the fact. 1 m is the same as 100 cm. A metre is a much bigger unit, so we will have a smaller number.100 cm = 1 m
- Divide by 100 and keep the remainder. The whole metres come from the lots of 100 cm. The remainder is the part left over.250 ÷ 100 = 2 remainder 50
- Write the remainder as a part of 1 m. 50 cm out of 100 cm is 50/100 of a m.50 cm is half of 100 cm, so 50 cm = 0.5 m
- Put the whole metres and the part together. The whole number goes before the decimal point.2 + 0.5 = 2.5 m
Check. Go back: 2.5 × 100 = 250. ✓
Watch out. Changing to a bigger unit gives a smaller number. 250 cm is 2.5 m, not 25,000.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 1,000 grams in 1 kilogram, so divide by 1,000 to change grams to kilograms.
- Remember the fact. 1 kg is the same as 1,000 g. A kilogram is a much bigger unit, so we will have a smaller number.1,000 g = 1 kg
- Divide by 1,000 and keep the remainder. The whole kilograms come from the lots of 1,000 g. The remainder is the part left over.1,500 ÷ 1,000 = 1 remainder 500
- Write the remainder as a part of 1 kg. 500 g out of 1,000 g is 500/1,000 of a kg.500 g is half of 1,000 g, so 500 g = 0.5 kg
- Put the whole kilograms and the part together. The whole number goes before the decimal point.1 + 0.5 = 1.5 kg
Check. Go back: 1.5 × 1,000 = 1,500. ✓
Watch out. Changing to a bigger unit gives a smaller number. 1,500 g is 1.5 kg, not 1,500,000.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 1,000 millilitres in 1 litre, so divide by 1,000 to change millilitres to litres.
- Remember the fact. 1 l is the same as 1,000 ml. A litre is a much bigger unit, so we will have a smaller number.1,000 ml = 1 l
- Compare with 1 l. 750 ml is less than 1,000 ml, so there is no whole l. It is just a part of a l.750 ml out of 1,000 ml
- Write the amount as a part of 1 l. 750 ml out of 1,000 ml is 750/1,000 of a l.750 ml is three quarters of 1,000 ml, so 750 ml = 0.75 l
- Write the answer. 0.75 l
Check. Go back: 0.75 × 1,000 = 750. ✓
Watch out. Changing to a bigger unit gives a smaller number. 750 ml is 0.75 l, not 750,000.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 1,000 metres in 1 kilometre, so divide by 1,000 to change metres to kilometres.
- Remember the fact. 1 km is the same as 1,000 m. A kilometre is a much bigger unit, so we will have a smaller number.1,000 m = 1 km
- Divide by 1,000 and keep the remainder. The whole kilometres come from the lots of 1,000 m. The remainder is the part left over.4,500 ÷ 1,000 = 4 remainder 500
- Write the remainder as a part of 1 km. 500 m out of 1,000 m is 500/1,000 of a km.500 m is half of 1,000 m, so 500 m = 0.5 km
- Put the whole kilometres and the part together. The whole number goes before the decimal point.4 + 0.5 = 4.5 km
Check. Go back: 4.5 × 1,000 = 4,500. ✓
Watch out. Changing to a bigger unit gives a smaller number. 4,500 m is 4.5 km, not 4,500,000.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 10 millimetres in 1 centimetre, so divide by 10 to change millimetres to centimetres.
- Remember the fact. 1 cm is the same as 10 mm. A centimetre is a much bigger unit, so we will have a smaller number.10 mm = 1 cm
- Divide by 10 and keep the remainder. The whole centimetres come from the lots of 10 mm. The remainder is the part left over.35 ÷ 10 = 3 remainder 5
- Write the remainder as a part of 1 cm. 5 mm out of 10 mm is 5/10 of a cm.5 mm is half of 10 mm, so 5 mm = 0.5 cm
- Put the whole centimetres and the part together. The whole number goes before the decimal point.3 + 0.5 = 3.5 cm
Check. Go back: 3.5 × 10 = 35. ✓
Watch out. Changing to a bigger unit gives a smaller number. 35 mm is 3.5 cm, not 350.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 100 centimetres in 1 metre, so divide by 100 to change centimetres to metres.
- Remember the fact. 1 m is the same as 100 cm. A metre is a much bigger unit, so we will have a smaller number.100 cm = 1 m
- Divide by 100 and keep the remainder. The whole metres come from the lots of 100 cm. The remainder is the part left over.125 ÷ 100 = 1 remainder 25
- Write the remainder as a part of 1 m. 25 cm out of 100 cm is 25/100 of a m.25 cm is a quarter of 100 cm, so 25 cm = 0.25 m
- Put the whole metres and the part together. The whole number goes before the decimal point.1 + 0.25 = 1.25 m
Check. Go back: 1.25 × 100 = 125. ✓
Watch out. Changing to a bigger unit gives a smaller number. 125 cm is 1.25 m, not 12,500.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. Change the metres to centimetres, then add the centimetres that are left over.
- Change the whole metres to cm. 1 m = 100 cm, so multiply by 100.3 × 100 = 300 cm
- Add the extra cm. Put the two parts together.300 + 40 = 340 cm
- Write the answer. Use the small unit only.3 m 40 cm = 340 cm
Check. 340 ÷ 100 = 3 remainder 40. ✓
Watch out. Change the metres first. 3 m is 300 cm, not 3 cm. Then add the 40 cm.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. Change the kilograms to grams, then add the grams that are left over.
- Change the whole kilograms to g. 1 kg = 1,000 g, so multiply by 1,000.2 × 1,000 = 2,000 g
- Add the extra g. Put the two parts together.2,000 + 350 = 2,350 g
- Write the answer. Use the small unit only.2 kg 350 g = 2,350 g
Check. 2,350 ÷ 1,000 = 2 remainder 350. ✓
Watch out. Change the kilograms first. 2 kg is 2,000 g, not 2 g. Then add the 350 g.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. Change the litres to millilitres, then add the millilitres that are left over.
- Change the whole litres to ml. 1 l = 1,000 ml, so multiply by 1,000.5 × 1,000 = 5,000 ml
- Add the extra ml. Put the two parts together.5,000 + 200 = 5,200 ml
- Write the answer. Use the small unit only.5 l 200 ml = 5,200 ml
Check. 5,200 ÷ 1,000 = 5 remainder 200. ✓
Watch out. Change the litres first. 5 l is 5,000 ml, not 5 ml. Then add the 200 ml.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. Change the kilometres to metres, then add the metres that are left over.
- Change the whole kilometres to m. 1 km = 1,000 m, so multiply by 1,000.1 × 1,000 = 1,000 m
- Add the extra m. Put the two parts together.1,000 + 750 = 1,750 m
- Write the answer. Use the small unit only.1 km 750 m = 1,750 m
Check. 1,750 ÷ 1,000 = 1 remainder 750. ✓
Watch out. Change the kilometres first. 1 km is 1,000 m, not 1 m. Then add the 750 m.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. Divide by 100 to find the whole metres. The remainder is the centimetres that are left over.
- Divide by 100. Every 100 cm make 1 m.275 ÷ 100 = 2 remainder 75
- Say what the answer means. The whole number is the metres. The remainder is the centimetres left over.2 m and 75 cm
- Write the answer. Put the big unit first, then the small unit.275 cm = 2 m 75 cm
Check. 2 × 100 + 75 = 275. ✓
Watch out. The remainder is not a decimal. It is the part left over, written in the smaller unit.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. Divide by 1,000 to find the whole kilograms. The remainder is the grams that are left over.
- Divide by 1,000. Every 1,000 g make 1 kg.1,450 ÷ 1,000 = 1 remainder 450
- Say what the answer means. The whole number is the kilograms. The remainder is the grams left over.1 kg and 450 g
- Write the answer. Put the big unit first, then the small unit.1,450 g = 1 kg 450 g
Check. 1 × 1,000 + 450 = 1,450. ✓
Watch out. The remainder is not a decimal. It is the part left over, written in the smaller unit.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. Divide by 1,000 to find the whole litres. The remainder is the millilitres that are left over.
- Divide by 1,000. Every 1,000 ml make 1 l.3,600 ÷ 1,000 = 3 remainder 600
- Say what the answer means. The whole number is the litres. The remainder is the millilitres left over.3 l and 600 ml
- Write the answer. Put the big unit first, then the small unit.3,600 ml = 3 l 600 ml
Check. 3 × 1,000 + 600 = 3,600. ✓
Watch out. The remainder is not a decimal. It is the part left over, written in the smaller unit.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. Divide by 1,000 to find the whole kilometres. The remainder is the metres that are left over.
- Divide by 1,000. Every 1,000 m make 1 km.2,300 ÷ 1,000 = 2 remainder 300
- Say what the answer means. The whole number is the kilometres. The remainder is the metres left over.2 km and 300 m
- Write the answer. Put the big unit first, then the small unit.2,300 m = 2 km 300 m
Check. 2 × 1,000 + 300 = 2,300. ✓
Watch out. The remainder is not a decimal. It is the part left over, written in the smaller unit.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 100 centimetres in 1 metre, so multiply by 100 to change metres to centimetres.
- Remember the fact. 1 m is the same as 100 cm. A centimetre is a much smaller unit, so we will have a bigger number.1 m = 100 cm
- Split the number into whole metres and a part. It is easier to change the whole metres and the part separately.1.5 m = 1 m + 0.5 m
- Change the whole metres. Multiply by 100.1 × 100 = 100 cm
- Change the part. Think about what fraction of a m it is.0.5 m is half of 1 m. Half of 100 = 50 cm
- Add the two answers together. 100 + 50 = 150 cm
Check. Go back: 150 ÷ 100 = 1.5. ✓
Watch out. Changing to a smaller unit gives a bigger number: 1.5 m is 150 cm, not 0.015.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 1,000 metres in 1 kilometre, so multiply by 1,000 to change kilometres to metres.
- Remember the fact. 1 km is the same as 1,000 m. A metre is a much smaller unit, so we will have a bigger number.1 km = 1,000 m
- Split the number into whole kilometres and a part. It is easier to change the whole kilometres and the part separately.2.5 km = 2 km + 0.5 km
- Change the whole kilometres. Multiply by 1,000.2 × 1,000 = 2,000 m
- Change the part. Think about what fraction of a km it is.0.5 km is half of 1 km. Half of 1,000 = 500 m
- Add the two answers together. 2,000 + 500 = 2,500 m
Check. Go back: 2,500 ÷ 1,000 = 2.5. ✓
Watch out. Changing to a smaller unit gives a bigger number: 2.5 km is 2,500 m, not 0.0025.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. There are 1,000 metres in 1 kilometre, so multiply by 1,000 to change kilometres to metres.
- Remember the fact. 1 km is the same as 1,000 m. A metre is a much smaller unit, so we will have a bigger number.1 km = 1,000 m
- Split the number into whole kilometres and a part. It is easier to change the whole kilometres and the part separately.2.4 km = 2 km + 0.4 km
- Change the whole kilometres. Multiply by 1,000.2 × 1,000 = 2,000 m
- Change the part. Think about what fraction of a km it is.0.4 km is 4 tenths of 1 km. 1 tenth = 1,000 ÷ 10 = 100 m, so 4 × 100 = 400 m
- Add the two answers together. 2,000 + 400 = 2,400 m
Check. Go back: 2,400 ÷ 1,000 = 2.4. ✓
Watch out. Changing to a smaller unit gives a bigger number: 2.4 km is 2,400 m, not 0.0024.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. Change the ribbon to centimetres first, because the pieces are measured in centimetres. Then divide.
- Change 3.5 m to centimetres. 1 m = 100 cm. Change the 3 m and the half separately.3 × 100 = 300 cm and half of 100 = 50 cm, so 3.5 m = 350 cm
- Divide by the length of one piece. The number of pieces is how many 50 cm fit into 350 cm.350 ÷ 50 = 7
- Write the answer. Dev can cut 7 pieces.
Check. 7 × 50 = 350. ✓
Watch out. Change both lengths to the same unit before dividing.
Key words. To add or subtract measures, they must be in the same unit. The total is all the amounts added together. The difference is how much more one amount is than another.
Method. Change the measures to the same unit. Then add or subtract the numbers, and give the answer in the unit asked.
- Change both measures to grams. We can only add or subtract measures that are in the same unit. Use the smaller unit so we have whole numbers.1.5 kg = 1.5 × 1,000 = 1,500 g
- Take the smaller measure away from the bigger. Subtract column by column. Exchange when a top digit is too small.1,500 g − 900 g = 600 g
Th H T O 0 115 50 0 − 9 0 0 6 0 0 - Write the answer with its unit. A measure always needs its unit.600 g
Check. Use the inverse: 600 + 900 = 1,500. ✓
Watch out. You can only add or subtract measures in the same unit. 1 m + 45 cm is not 46 of anything: change it to 145 cm first.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. Change 3.5 km to metres and compare with Mei’s answer.
- Remember the fact. 1 km is 1,000 m.1 km = 1,000 m
- Change 3.5 km to metres. Change 3 km and the half separately. Half of 1,000 m is 500 m.3 × 1,000 = 3,000 m and 3,000 + 500 = 3,500 m
- Find the mistake. Mei said 350 m. She multiplied by 100 instead of 1,000. That is the fact for cm and m.3.5 km is 3,500 m
Check. 3,500 ÷ 1,000 = 3.5. ✓
Watch out. Kilo means 1,000. Check the fact for the units you are using.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. Try some examples. Think about what happens to the number when we change from m to cm.
- Try 3 m. 3 m = 3 × 100 = 300 cm.3 is less than 300
- Try 0.5 m and 12 m. 0.5 m = 50 cm. 12 m = 1,200 cm.0.5 is less than 50. 12 is less than 1,200.
- Decide. We multiply by 100 every time, so the number gets 100 times bigger (as long as the measure is more than 0).Always.
Check. Going to a smaller unit always needs more of them. ✓
Watch out. Changing to a smaller unit makes the number bigger, but the length stays the same.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. Write each length in the same unit (centimetres) and find the one that is different.
- Change 2.5 m to cm. Half a metre is 50 cm.2.5 m = 200 + 50 = 250 cm
- Change 25 m to cm. Multiply by 100.25 × 100 = 2,500 cm
- Change 2 m 50 cm to cm. 2 m is 200 cm.200 + 50 = 250 cm
- Compare with 250 cm. Three of them are 250 cm.2.5 m, 250 cm and 2 m 50 cm are all 250 cm. 25 m is different (2,500 cm).
Check. 25 m is ten times longer than 2.5 m. ✓
Watch out. A decimal point in the wrong place changes the size by 10 times.
Key words. To convert is to change a measure from one unit to another unit. Kilo means 1000: 1 kilometre = 1000 m, 1 kilogram = 1000 g. Centi means a hundredth: 1 m = 100 cm. Milli means a thousandth.
Method. Use the clues to build the number in centimetres. Then change to metres.
- Use the first clue. The hundreds digit is 2.2 _ _
- Use the other clues. The tens digit is 5 and the ones digit is 0.2 5 0 = 250 cm
- Check it is between 2 m and 3 m. 2 m = 200 cm and 3 m = 300 cm. 250 is between them.Yes
- Change to metres. 250 ÷ 100 = 2 remainder 50 and 50 cm is half a metre.250 cm = 2.5 m
Check. 2.5 m is between 2 m and 3 m, and 2.5 × 100 = 250. ✓
Watch out. Check every clue at the end.