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Whiteboardmaths.com © 2007 All rights reserved 5 7 2 1

Refresher Metric Units kings have Dashed my dreams cried mary In earlier work on metric prefixes we looked at a Mnemonic to help us remember them. A Mnemonic kings have Dashed my dreams cried mary i l o 1000 e c t o 100 e c a 10 1 e t r e c i 1/10 e n t i 1/100 i l 1/1000

Units of Capacity k h D l d c m The principal unit of capacity in the metric system is the litre (l ) Bigger 1 kilolitre 1000 litres Smaller 1 ml/cc of water has a mass of 1 gram 1 Litre 1000 ml kilolitre hectolitre Decalitre litre decilitre centilitre millilitre 1000 l 100 l 10 l 1 l 1/10 l 1/100 l 1/1000 l k l h l D l l d l c l m l

Less Common units Units of Capacity 1 cl = 10 ml and 1/10 dl k h D l d The principal unit of capacity in the metric system is the litre (l ) Bigger 1 kilolitre 1000 litres Smaller kilolitre hectolitre Decalitre litre decilitre centilitre millilitre 1000 l 100 l 10 l 1 l 1/10 l 1/100 l 1/1000 l k l h l D l l d l c l m l Each unit in the table is 10 times larger than the unit to it’s right and 10 times smaller than the unit to its left. 1 ml/cc of water has a mass of 1 gram 1 cl = 10 ml and 1/10 dl Less Common units

Units of Capacity 1 l = 10 dl and 1/10 Dl k h D l d c m The principal unit of capacity in the metric system is the litre (l ) Bigger 1 kilolitre 1000 litres Smaller kilolitre hectolitre Decalitre litre decilitre centilitre millilitre 1000 l 100 l 10 l 1 l 1/10 l 1/100 l 1/1000 l k l h l D l l d l c l m l Each unit in the table is 10 times larger than the unit to it’s right and 10 times smaller than the unit to its left. 1 ml/cc of water has a mass of 1 gram 1 l = 10 dl and 1/10 Dl

Units of Capacity 1 l = 100 cl and 1/100 hl k h D l d c m The principal unit of capacity in the metric system is the litre (l ) Bigger 1 kilolitre 1000 litres Smaller kilolitre hectolitre Decalitre litre decilitre centilitre millilitre 1000 l 100 l 10 l 1 l 1/10 l 1/100 l 1/1000 l k l h l D l l d l c l m l Each unit in the table is 10 times larger than the unit to it’s right and 10 times smaller than the unit to its left. 1 ml/cc of water has a mass of 1 gram 1 l = 100 cl and 1/100 hl

Units of Capacity 1 Dl = 1000 cl and 1/100 kl k h D l d c m The principal unit of capacity in the metric system is the litre (l ) Bigger 1 kilolitre 1000 litres Smaller kilolitre hectolitre Decalitre litre decilitre centilitre millilitre 1000 l 100 l 10 l 1 l 1/10 l 1/100 l 1/1000 l k l h l D l l d l c l m l Each unit in the table is 10 times larger than the unit to it’s right and 10 times smaller than the unit to its left. 1 ml/cc of water has a mass of 1 gram 1 Dl = 1000 cl and 1/100 kl

10 1/10 Units of Capacity k h D l d c m The principal unit of capacity in the metric system is the litre (l ) Bigger 1 kilolitre 1000 litres Smaller kilolitre hectolitre Decalitre litre decilitre centilitre millilitre 1000 l 100 l 10 l 1 l 1/10 l 1/100 l 1/1000 l k l h l D l l d l c l m l Use the table to answer the following: (a) How many Dl in a hl (b) How many kl in a hl 1 ml/cc of water has a mass of 1 gram 10 1/10

100 1/100 Units of Capacity k h D l d c m The principal unit of capacity in the metric system is the litre (l ) Bigger 1 kilolitre 1000 litres Smaller kilolitre hectolitre Decalitre litre decilitre centilitre millilitre 1000 l 100 l 10 l 1 l 1/10 l 1/100 l 1/1000 l k l h l D l l d l c l m l Use the table to answer the following: (a) How many ml in a dl (b) How many Dl in a dl 1 ml/cc of water has a mass of 1 gram 100 1/100

10 000 1/10 Units of Capacity k h D l d c m The principal unit of capacity in the metric system is the litre (l ) Bigger 1 kilolitre 1000 litres Smaller kilolitre hectolitre Decalitre litre decilitre centilitre millilitre 1000 l 100 l 10 l 1 l 1/10 l 1/100 l 1/1000 l k l h l D l l d l c l m l Use the table to answer the following: (a) How many ml in a Dl (b) How many hl in a Dl 1 ml/cc of water has a mass of 1 gram 10 000 1/10

Common units Units of Capacity k h D l d c m The principal unit of capacity in the metric system is the litre (l ) Bigger 1 kilolitre 1000 litres Smaller kilolitre hectolitre Decalitre litre decilitre centilitre millilitre 1000 l 100 l 10 l 1 l 1/10 l 1/100 l 1/1000 l k l h l D l l d l c l m l The most commonly used units of capacity in use in the UK are the litre, millilitre and to a lesser extent the centilitre. These are the units that we will now concentrate on. 1 ml/cc of water has a mass of 1 gram 1 l = 1000 ml 1 l = 100 cl 1cl = 10 ml Common units

L to cl and ml Units of Capacity 1 l = 1000 ml 1 l = 100 cl 1cl = 10 ml 1 ml = 1/1000 l 1 cl = 1/100 l 1ml = 1/10 cl By looking at these basic relationships above we can see that: Use these relationships to help you work out the following: L to cl and ml

Units of Capacity (a) 2000 ml (b) 200 cl 1 l = 1000 ml 1 l = 100 cl 1cl = 10 ml 1 ml = 1/1000 l 1 cl = 1/100 l 1ml = 1/10 cl Work out the number of (a) ml and (b) cl in each case. (a) 2000 ml 1 litre (b) 200 cl

Units of Capacity (a) 5000 ml (b) 500 cl 1 l = 1000 ml 1 l = 100 cl 1cl = 10 ml 1 ml = 1/1000 l 1 cl = 1/100 l 1ml = 1/10 cl Work out the number of (a) ml and (b) cl in each case. 1 litre 1 litre (a) 5000 ml (b) 500 cl 1 litre 1 litre

Units of Capacity (a) 4500 ml (b) 450 cl 1 l = 1000 ml 1 l = 100 cl 1cl = 10 ml 1 ml = 1/1000 l 1 cl = 1/100 l 1ml = 1/10 cl Work out the number of (a) ml and (b) cl in each case. 1 litre 1 litre (a) 4500 ml (b) 450 cl 1 litre ½ litre

Units of Capacity (a) 3750 ml (b) 375 cl 1 l = 1000 ml 1 l = 100 cl 1cl = 10 ml 1 ml = 1/1000 l 1 cl = 1/100 l 1ml = 1/10 cl Work out the number of (a) ml and (b) cl in each case. 1 litre 1 litre (a) 3750 ml (b) 375 cl ¾ litre

cl to l and ml Units of Capacity (a) 0.7 l (b) 700 ml 70 cl 1 l = 1000 ml 1 l = 100 cl 1cl = 10 ml 1 ml = 1/1000 l 1 cl = 1/100 l 1ml = 1/10 cl Work out the number of (a) l and (b) ml in each case. 70 cl (a) 0.7 l (b) 700 ml cl to l and ml

Units of Capacity (a) 0.16 l (b) 160 ml 16 cl 1 l = 1000 ml 1 l = 100 cl 1cl = 10 ml 1 ml = 1/1000 l 1 cl = 1/100 l 1ml = 1/10 cl Work out the number of (a) l and (b) ml in each case. (a) 0.16 l (b) 160 ml 16 cl

Units of Capacity (a) 0.33 l (b) 330 ml 33 cl 1 l = 1000 ml 1 l = 100 cl 1cl = 10 ml 1 ml = 1/1000 l 1 cl = 1/100 l 1ml = 1/10 cl Work out the number of (a) l and (b) ml in each case. (a) 0.33 l (b) 330 ml 33 cl

Units of Capacity (a) 0.225 l (b) 225 ml 22.5 cl 1 l = 1000 ml 1 l = 100 cl 1cl = 10 ml 1 ml = 1/1000 l 1 cl = 1/100 l 1ml = 1/10 cl Work out the number of (a) l and (b) ml in each case. (a) 0.225 l (b) 225 ml 22.5 cl

ml to l and cl Units of Capacity (a) 1 l (b) 100 cl 1000 ml 1 l = 1000 ml 1 l = 100 cl 1cl = 10 ml 1 ml = 1/1000 l 1 cl = 1/100 l 1ml = 1/10 cl Work out the number of (a) l and (b) cl in each case. (a) 1 l (b) 100 cl 1000 ml ml to l and cl

Units of Capacity (a) ¼ l (b) 25 cl 250 ml 1 l = 1000 ml 1 l = 100 cl 1cl = 10 ml 1 ml = 1/1000 l 1 cl = 1/100 l 1ml = 1/10 cl Work out the number of (a) l and (b) cl in each case. Liquid Soap (a) ¼ l (b) 25 cl 250 ml

Units of Capacity (a) 0.095 l (b) 9.5 cl 95 ml 1 l = 1000 ml 1 l = 100 cl 1cl = 10 ml 1 ml = 1/1000 l 1 cl = 1/100 l 1ml = 1/10 cl Work out the number of (a) l and (b) cl in each case. (a) 0.095 l (b) 9.5 cl 95 ml

Units of Capacity (a) 0.33 l (b) 33 cl 330 ml 1 l = 1000 ml 1 l = 100 cl 1cl = 10 ml 1 ml = 1/1000 l 1 cl = 1/100 l 1ml = 1/10 cl Work out the number of (a) l and (b) cl in each case. (a) 0.33 l (b) 33 cl 330 ml

Complete the table below. Question l cl ml 1 2 50 3 1.5 4 3000 5 ¾ 750 6 2400 7 786 8 150 9 9.1 10 25

Complete the table below. Question l cl ml 1 100 1000 2 ½ 50 500 3 1.5 150 1500 4 300 3000 5 ¾ 75 750 6 2.4 240 2400 7 7.86 786 7860 8 0.15 15 9 9.1 910 9100 10 0.025 2.5 25

Worksheet Question l cl ml 1 2 50 3 1.5 4 3000 5 ¾ 750 6 2400 7 786 8 Complete the table below. Question l cl ml 1 2 50 3 1.5 4 3000 5 ¾ 750 6 2400 7 786 8 150 9 9.1 10 25