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

3 Refresher A Mnemonic Metric Units kings have Dashed my dreams cried mary iloilo 1000 ectoecto 100 ecaeca 10 ecieci 1/10 entienti 1/100 illiilli 1/1000 1 etreetre In earlier work on metric prefixes we looked at a Mnemonic to help us remember them.

4 1g = mass of 1ml/cc of water mgcgdg g Dghg 1/1000 g1/100 g1/10 g1 g10 g100 g1000 g milligram centigram decigramgramDecagram hectogram kilogram Units of Mass kg Smaller Bigger Sugar 1 kg 3 tonnes (3000 kg) khDgdcm The principal unit of mass in the metric system is the gram (g)

5 Less common units 1g = mass of 1ml/cc of water mgcgdg g Dghg 1/1000 g1/100 g1/10 g1 g10 g100 g1000 g milligram centigram decigramgramDecagram hectogram kilogram Units of Mass kg Smaller Bigger Sugar 1 kg 3 tonnes (3000 kg) khDgdcm The principal unit of mass in the metric system is the gram (g) 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 cg = 10 mg and 1/10 dg

6 1g = mass of 1ml/cc of water mgcgdg g Dghg 1/1000 g1/100 g1/10 g1 g10 g100 g1000 g milligram centigram decigramgramDecagram hectogram kilogram Units of Mass kg Smaller Bigger Sugar 1 kg 3 tonnes (3000 kg) khDgdcm The principal unit of mass in the metric system is the gram (g) 1 g = 10 dg and 1/10 Dg 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.

7 1g = mass of 1ml/cc of water mgcgdg g Dghg 1/1000 g1/100 g1/10 g1 g10 g100 g1000 g milligram centigram decigramgramDecagram hectogram kilogram Units of Mass kg Smaller Bigger Sugar 1 kg 3 tonnes (3000 kg) khDgdcm The principal unit of mass in the metric system is the gram (g) 1 g = 100 cg and 1/100 hg 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.

8 1g = mass of 1ml/cc of water mgcgdg g Dghg 1/1000 g1/100 g1/10 g1 g10 g100 g1000 g milligram centigram decigramgramDecagram hectogram kilogram Units of Mass kg Smaller Bigger Sugar 1 kg 3 tonnes (3000 kg) khDgdcm The principal unit of mass in the metric system is the gram (g) 1 Dg = 1000 cg and 1/100 kg 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.

9 1g = mass of 1ml/cc of water mgcgdg g Dghg 1/1000 g1/100 g1/10 g1 g10 g100 g1000 g milligram centigram decigramgramDecagram hectogram kilogram Units of Mass kg Smaller Bigger Sugar 1 kg 3 tonnes (3000 kg) khDgdcm The principal unit of mass in the metric system is the gram (g) Use the table to answer the following: (a) How many Dg in a hg (b) How many kg in a hg 10 1/10

10 1g = mass of 1ml/cc of water mgcgdg g Dghg 1/1000 g1/100 g1/10 g1 g10 g100 g1000 g milligram centigram decigramgramDecagram hectogram kilogram Units of Mass kg Smaller Bigger Sugar 1 kg 3 tonnes (3000 kg) khDgdcm The principal unit of mass in the metric system is the gram (g) Use the table to answer the following: (a) How many mg in a dg(b) How many Dg in a dg 100 1/100

11 1g = mass of 1ml/cc of water mgcgdg g Dghg 1/1000 g1/100 g1/10 g1 g10 g100 g1000 g milligram centigram decigramgramDecagram hectogram kilogram Units of Mass kg Smaller Bigger Sugar 1 kg 3 tonnes (3000 kg) khDgdcm The principal unit of mass in the metric system is the gram (g) Use the table to answer the following: (a) How many mg in a Dm(b) How many hg in a Dg 10 0001/10

12 Common units mgcgdg g Dghg 1/1000 g1/100 g1/10 g1 g10 g100 g1000 g milligram centigram decigramgramDecagram hectogram kilogram Units of Mass kg Smaller Bigger Sugar 1 kg 3 tonnes (3000 kg) khDgdcm The principal unit of mass in the metric system is the gram (g) The most commonly used units of mass along with the gram are the kilogram, milligram and tonne, these are the units that we will now concentrate on. 1 tonne = 1000 kg 1kg = 1000 g 1 g = 1000 mg

13 Units of Mass By looking at the three basic relationships above we can see that: 1 tonne = 1000 kg 1kg = 1000 g 1 g = 1000 mg 1 kg = 1/1000 tonne 1g = 1/1000 kg 1 mg = 1/1000 g

14 tonnes to kg Units of Mass 1 tonne = 1000 kg 1kg = 1000 g 1 g = 1000 mg 1 kg = 1/1000 tonne 1g = 1/1000 kg 1 mg = 1/1000 g Use these relationships to help you work out the following problems: Find the mass of the car in kg. 750 kg ¾ tonne

15 Units of Mass 1 tonne = 1000 kg 1kg = 1000 g 1 g = 1000 mg 1 kg = 1/1000 tonne 1g = 1/1000 kg 1 mg = 1/1000 g Use these relationships to help you work out the following problems: Find the mass of the elephant in kg. 3500 kg 3.5 tonnes

16 Units of Mass 1 tonne = 1000 kg 1kg = 1000 g 1 g = 1000 mg 1 kg = 1/1000 tonne 1g = 1/1000 kg 1 mg = 1/1000 g Use these relationships to help you work out the following problems: Find the mass of the dumper truck in kg. 5700 kg 5.7 tonnes

17 Units of Mass 1 tonne = 1000 kg 1kg = 1000 g 1 g = 1000 mg 1 kg = 1/1000 tonne 1g = 1/1000 kg 1 mg = 1/1000 g Use these relationships to help you work out the following problems: Find the mass of the digger in kg. 38 750 kg 38.75 tonnes

18 kg to tonnes Units of Mass 1 tonne = 1000 kg 1kg = 1000 g 1 g = 1000 mg 1 kg = 1/1000 tonne 1g = 1/1000 kg 1 mg = 1/1000 g Use these relationships to help you work out the following problems: Find the mass of the wood in tonnes. 1½ tonnes 1500 kg

19 Units of Mass 1 tonne = 1000 kg 1kg = 1000 g 1 g = 1000 mg 1 kg = 1/1000 tonne 1g = 1/1000 kg 1 mg = 1/1000 g Use these relationships to help you work out the following problems: Find the mass of the bags of cement in tonnes. ¾ tonne 750 kg

20 Units of Mass 1 tonne = 1000 kg 1kg = 1000 g 1 g = 1000 mg 1 kg = 1/1000 tonne 1g = 1/1000 kg 1 mg = 1/1000 g Use these relationships to help you work out the following problems: Find the mass of the barrel in tonnes. 0.35 tonnes 350 kg

21 Units of Mass 1 tonne = 1000 kg 1kg = 1000 g 1 g = 1000 mg 1 kg = 1/1000 tonne 1g = 1/1000 kg 1 mg = 1/1000 g Use these relationships to help you work out the following problems: Find the mass of the photocopier in tonnes. 0.134 tonnes 134 kg

22 Questiontonnes kg 11 24 33.5 4500 5750 69.75 76.258 8 96840 103.782 Complete the table below.

23 Questiontonnes kg 111000 244000 33.53500 4½500 5¾750 69.759750 76.2586258 85.35300 96.846840 103.7823782 Complete the table below.

24 kg to g Units of Mass 1 tonne = 1000 kg 1kg = 1000 g 1 g = 1000 mg 1 kg = 1/1000 tonne 1g = 1/1000 kg 1 mg = 1/1000 g Use these relationships to help you work out the following problems: Find the mass of the bag of sugar in g. 1000 g 1 kg Sugar 1 kg

25 Units of Mass 1 tonne = 1000 kg 1kg = 1000 g 1 g = 1000 mg 1 kg = 1/1000 tonne 1g = 1/1000 kg 1 mg = 1/1000 g Use these relationships to help you work out the following problems: Find the mass of the brief case in g. 2500 g 2½ kg

26 Units of Mass 1 tonne = 1000 kg 1kg = 1000 g 1 g = 1000 mg 1 kg = 1/1000 tonne 1g = 1/1000 kg 1 mg = 1/1000 g Use these relationships to help you work out the following problems: Find the mass of the box in g. 4750 g 4¾ kg

27 Units of Mass 1 tonne = 1000 kg 1kg = 1000 g 1 g = 1000 mg 1 kg = 1/1000 tonne 1g = 1/1000 kg 1 mg = 1/1000 g Use these relationships to help you work out the following problems: Find the mass of the metal sharpener in g. 320 g 0.32 kg

28 g to kg Units of Mass 1 tonne = 1000 kg 1kg = 1000 g 1 g = 1000 mg 1 kg = 1/1000 tonne 1g = 1/1000 kg 1 mg = 1/1000 g Use these relationships to help you work out the following problems: Find the mass of the cash box in kg. 1¼ kg 1250 g

29 Units of Mass 1 tonne = 1000 kg 1kg = 1000 g 1 g = 1000 mg 1 kg = 1/1000 tonne 1g = 1/1000 kg 1 mg = 1/1000 g Use these relationships to help you work out the following problems: 2.3 kg 2300 g Find the mass of the box files in kg.

30 Units of Mass 1 tonne = 1000 kg 1kg = 1000 g 1 g = 1000 mg 1 kg = 1/1000 tonne 1g = 1/1000 kg 1 mg = 1/1000 g Use these relationships to help you work out the following problems: Find the mass of the pencil tidy in kg. 0.18 kg 180 g

31 Units of Mass 1 tonne = 1000 kg 1kg = 1000 g 1 g = 1000 mg 1 kg = 1/1000 tonne 1g = 1/1000 kg 1 mg = 1/1000 g Use these relationships to help you work out the following problems: Find the mass of the magnifying glass in kg. 0.238 kg 238g

32 Questionkg g 11 23 34.5 4500 5750 65.75 77.86 86300 99040 108.342 Complete the table below.

33 Questionkg g 111000 233000 34.54500 4½500 5¾750 65.755750 77.867860 86.36300 99.049040 108.3428342 Complete the table below.

34 g to mg Units of Mass 1 tonne = 1000 kg 1kg = 1000 g 1 g = 1000 mg 1 kg = 1/1000 tonne 1g = 1/1000 kg 1 mg = 1/1000 g Use these relationships to help you work out the following problems: Find the mass of the eraser in mg. 32 000 mg 32g

35 Units of Mass 1 tonne = 1000 kg 1kg = 1000 g 1 g = 1000 mg 1 kg = 1/1000 tonne 1g = 1/1000 kg 1 mg = 1/1000 g Use these relationships to help you work out the following problems: Find the mass of the eraser in mg. 15 000 mg 15g

36 Units of Mass 1 tonne = 1000 kg 1kg = 1000 g 1 g = 1000 mg 1 kg = 1/1000 tonne 1g = 1/1000 kg 1 mg = 1/1000 g Use these relationships to help you work out the following problems: Find the mass of the stapler in mg. 225 000 mg 225g

37 Units of Mass 1 tonne = 1000 kg 1kg = 1000 g 1 g = 1000 mg 1 kg = 1/1000 tonne 1g = 1/1000 kg 1 mg = 1/1000 g Use these relationships to help you work out the following problems: Find the mass of the scissors in mg. 63 400 mg 63.4g

38 mg to g Units of Mass 1 tonne = 1000 kg 1kg = 1000 g 1 g = 1000 mg 1 kg = 1/1000 tonne 1g = 1/1000 kg 1 mg = 1/1000 g Use these relationships to help you work out the following problems: Find the mass of the five tablets in g. 3 g 3000 mg

39 Units of Mass 1 tonne = 1000 kg 1kg = 1000 g 1 g = 1000 mg 1 kg = 1/1000 tonne 1g = 1/1000 kg 1 mg = 1/1000 g Use these relationships to help you work out the following problems: Find the mass of the tablets in g. 3¼ g 3250 mg

40 Units of Mass 1 tonne = 1000 kg 1kg = 1000 g 1 g = 1000 mg 1 kg = 1/1000 tonne 1g = 1/1000 kg 1 mg = 1/1000 g Use these relationships to help you work out the following problems: Find the mass of the capsule in g. 0.285 g 285 mg

41 Units of Mass 1 tonne = 1000 kg 1kg = 1000 g 1 g = 1000 mg 1 kg = 1/1000 tonne 1g = 1/1000 kg 1 mg = 1/1000 g Use these relationships to help you work out the following problems: Find the mass of the four capsules in g. 1.24 g 1240 mg

42 Questiong mg 11 24 36.5 4 250 5500 60.375 77.86 8184 9950 108.34 Complete the table below.

43 Questiong mg 111000 244000 36.56500 4¼250 5½500 60.375375 77.867860 80.184184 90.95950 108.348340 Complete the table below.

44 Worksheets Questiontonnes kg 11 24 33.5 4500 5750 69.75 76.258 8 96840 103.782 Complete the table below. Worksheet 1

45 Questionkg g 11 23 34.5 4500 5750 65.75 77.86 86300 99040 108.342 Complete the table below. Worksheet 2

46 Questiong mg 11 24 36.5 4 250 5500 60.375 77.86 8184 9950 108.34 Complete the table below. Worksheet 3


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