January 2022 Conversions between metric units LO To

January 2022 Conversions between metric units LO: To change between metric units of length, area, volume, capacity and mass. www. mathssupport. org

Metric system of measurement The metric system of measurement is based on powers of ten and uses the following prefixes: 103 10 -2 10 -3 10 -6 Kilo. Centi. Milli. Micro- meaning 1000 meaning one hundredth meaning one thousandth meaning one millionth These prefixes are then followed by a base unit. The base unit for length is metre. The base unit for mass is gram. The base unit for capacity is litre. www. mathssupport. org

Metric units of length Units of length Metric units used for length are kilometres, centimetres and millimetres. 1 kilometre (km) = 1000 metres (m) 1 metre (m) = 100 centimetres (cm) 1 metre (m) = 1000 millimetres (mm) 1 centimetre (cm) = 10 millimetres (mm) To convert 1000 m km 1000 www. mathssupport. org 10 mm cm 100 10

Converting metric units of length To convert from a larger metric unit to a smaller multiply by 10, 100, or 1000. one we need to _______ Complete the following: 115 cm = 1150 mm 39. 4 m = 3940 cm 0. 0471 km = 0. 3428 m = 57 km = 57000 m 0. 615 m = 0. 085 m = 1000 www. mathssupport. org 342. 8 mm 0. 625 km = 625000 cm 615 mm km 47. 1 m m 8. 5 cm 10 cm mm

Converting metric units of length To convert from a smaller metric unit to a larger divide by 10, 100, or 1000. one we need to ______ Complete the following 920 mm = 92 cm 65800 m = 530 m = 0. 53 km 526 mm = 3460 cm = 34. 6 m www. mathssupport. org 87 mm = m 1000 0. 526 m 4539 mm = 0. 004539 km 43. 1 cm = 0. 000431 km km 65. 8 km mm cm 100 0. 087 m 10

Metric units of Area Metric units used for area are square millimetres, square centimetres, square metres, and square kilometres. There is another unit called hectare (ha) which is a square 100 m 1 square millimetre (mm 2) = 1 mm 2 1 square centimetre (cm 2) = 10 mm = 100 mm 2 1 square metre (m 2) = 100 cm = 10 000 cm 2 1 hectare (ha) = 100 m = 10 000 m 2 1 square kilometre (km 2) = 1000 m = 1 000 m 2 To convert ha km 2 100 www. mathssupport. org mm 2 cm 2 10 000 100

Converting metric units of Area To convert from a larger metric unit to a smaller one multiply by 100, 10 000, or 1 000. we need to _______ Complete the following: 12. 7 cm 2 = 1270 mm 2 3 km 2 = 51. 8 m 2 = 518000 cm 2 0. 28 ha = 46 ha 0. 46 km 2 = 6. 5 m 2 = km 2 10 000 www. mathssupport. org ha 28000000 cm 2 6250000 mm 2 0. 085 km 2 = 850000 cm 2 3. 2 ha = 32000 m 2 100 3000000 m 2 100 10 000 m 2 cm 2 mm 2

Converting metric units of area To convert from a smaller metric unit to a larger one divide by 100, 10 000, or 1 000. we need to ______ Complete the following 23 mm 2 = 0. 23 cm 2 75 800 cm 2 = 0. 00000758 km 2 8530 m 2 = 0. 853 ha 8540 m 2 = 726 cm 2 = 0. 0726 m 2 96350 cm 2 = 0. 0009635 ha 736 mm 2 = 0. 000736 m 2 6. 6 km 2 660 ha = ha km 2 100 www. mathssupport. org cm 2 10 000 0. 00854 km 2 10 000 mm 2 100

Metric units of volume Units of volume Metric units used for volume cubic metres, cubic centimetres and cubic millimetres. 1 cubic millimetre (mm 3) = 1 mm = 1 mm 3 1 cubic centimetre (cm 3) = 10 mm = 1000 mm 3 1 square metre (m 2) = 100 cm = 1 000 cm 3 To convert 1 000 m 3 1 000 www. mathssupport. org 1000 cm 3 mm 3 1000

Converting metric units of volume Complete the following: 2. 5 m 3 = 2 500 000 cm 3 45 cm 3 = 90 000 mm 3 = 100 cm 3 = 45 000 mm 3 0. 0007 m 3 = 700 000 mm 3 0. 0001 m 3 1500 mm 3 = 0. 0000015 m 3 1 000 m 3 1 000 www. mathssupport. org 90 cm 3 1000 mm 3 cm 3 1000

Metric units of capacity Capacity is a measure of the amount of liquid that a 3 -D object can hold. The basic unit of capacity is the litre. Metric units used for capacity are kilolitres, centilitres and millilitres. Capacity units conversion 1000 litres (l) 1 kilolitre (kl) = 1 litre (m) = 100 centilitres (cl) 1 litre (m) = 1 centilitre (cm) = To convert 1000 l kl 1000 www. mathssupport. org 1000 millilitres (ml) 10 ml cl 100 10

Converting metric units of capacity To convert from a larger metric unit to a smaller multiply by 10, 100, or 1000. one we need to _______ Complete the following: 115 cl = 1150 ml 0. 0471 kl = 47. 1 l 39. 4 l = 3940 cl 0. 3428 l = 342. 8 ml 0. 625 kl = 62500 cl 0. 085 l = 8. 5 cl 57 kl = 57000 l 0. 615 l = 615 ml 1000 kl www. mathssupport. org l 10 cl ml

Converting metric units of capacity To convert from a smaller metric unit to a larger divide by 10, 100, or 1000. one we need to ______ Complete the following 920 ml = 92 cl 65800 l = 530 l = 0. 53 kl 526 ml = 3460 cl = 34. 6 l www. mathssupport. org 87 ml = l 1000 0. 526 l 4539 ml = 0. 004539 kl 43. 1 cl = 0. 000431 kl kl 65. 8 kl ml cl 100 0. 087 l 10

Connecting Volume and capacity The units of volume and capacity are connected because 1 millilitre (ml) of fluid fills a container of size 1 cm 3. A litre of water, for example, would fill a container measuring 10 cm by 10 cm (or 1000 cm 3) Equivalences of units of Volume and capacity 1 l ≡ 1000 cm 3 1 ml ≡ 1 cm 3 1 kl ≡ 1000 l ≡ 1 m 3 www. mathssupport. org

Volume and capacity What is the capacity in kilolitres of a swimming pool 25 m long, 12 m wide and 1. 5 m deep? 25 1. 5 m The volume of the swimming pool is (25 × 12 × 1. 5) m 3 = 450 m 3 m m 2 1 1 kilolitre = 1 m 3 450 kl = 450 m 3 The capacity of the swimming pool is 450 kl www. mathssupport. org

Volume and capacity Which holds more juice when full; a litre bottle or a carton measuring 6 cm by 10 cm by 20 cm? The volume of the carton is (6 × 10 × 20) cm 3 = 1200 cm 3 1 litre = 1000 cm 3 20 cm 10 cm 6 cm www. mathssupport. org The carton holds more juice.

Metric units of mass Mass is the amount of matter in an object. The base unit of mass is the kilogram (kg). The other units we commonly use are the tonne (t), the gram (g) and the milligram (mg). Mass units conversion 1 tonne (t) = 1 kilogram (kg) = 1 gram (g) = To convert 1000 grams (g) 1000 milligrams (mg) 1000 kg t 1000 www. mathssupport. org 1000 kilograms (kg) 1000 mg g 1000

Converting metric units of capacity Complete the following: 14. 5 g = 14500 mg 6. 4 kg = 0. 0628 t = 62800000 mg 6400 g 0. 8432 kg = 843200 mg 0. 732 g = 732 mg 57 t = 57000 kg 0. 328 t = 328000 g 1000 t www. mathssupport. org 76 kg 0. 076 t = kg 1000 g mg

Converting metric units of capacity Complete the following 640 mg = 0. 64 g 96300 kg = 720 kg = 0. 72 t 462 mg = 0. 000462 kg 5230 g = 5. 23 kg 452100 mg = 0. 0004521 t 360 mg = 84. 1 g = 0. 0000841 t kg t www. mathssupport. org 1000 96. 3 t mg g 1000 0. 00036 kg 1000

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