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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. Metre Stick cm 1020 30 40 50 60 70 80 90 100 mmcmdmmDmhmkm 1/1000 m1/100 m1/10 m1 m10 m100 m1000 m millimetre centimetre decimetremetreDecametre hectometre kilometre Units of Distance The principal unit of distance in the metric system is the metre (m) BiggerSmaller khDmdcm

5. Origin of the Metre It might sound improbable but it’s true! cm 1020 30 40 50 60 70 80 90 100 Just a few years after the French Revolution of 1789 the French Academy of Sciences defined the metre as 1/10 000 000 of the distance between the North Pole and the Equator. 10 000 000 m What is the approximate distance around the Earth in km/miles? 40 000 000 m = 40 000 km 5/8 x 40 000 = 25 000 miles This line of longitude passed through Paris as did the Paris Meridian. In 1884 at a conference in Washington and with much French resistance, the Greenwich meridian was adopted as the world’s Prime Meridian. Today over 100 bronze medallions can be seen marking the original line through Paris.

6. Less common units mmcmdmmDmhmkm 1/1000 m1/100 m1/10 m1 m10 m100 m1000 m millimetre centimetre decimetremetreDecametre hectometre kilometre Units of Distance The principal unit of distance in the metric system is the metre (m) BiggerSmaller khDmdcm Metre Stick cm 1020 30 40 50 60 70 80 90 100 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 cm = 10 mm and 1/10 dm

7. mmcmdmmDmhmkm 1/1000 m1/100 m1/10 m1 m10 m100 m1000 m millimetre centimetre decimetremetreDecametre hectometre kilometre Units of Distance The principal unit of distance in the metric system is the metre (m) BiggerSmaller khDmdcm Metre Stick cm 1020 30 40 50 60 70 80 90 100 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 m = 10 dm and 1/10 Dm

8. mmcmdmmDmhmkm 1/1000 m1/100 m1/10 m1 m10 m100 m1000 m millimetre centimetre decimetremetreDecametre hectometre kilometre Units of Distance The principal unit of distance in the metric system is the metre (m) BiggerSmaller khDmdcm Metre Stick cm 1020 30 40 50 60 70 80 90 100 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 m = 100 cm and 1/100 hm

9. mmcmdmmDmhmkm 1/1000 m1/100 m1/10 m1 m10 m100 m1000 m millimetre centimetre decimetremetreDecametre hectometre kilometre Units of Distance The principal unit of distance in the metric system is the metre (m) BiggerSmaller khDmdcm Metre Stick cm 1020 30 40 50 60 70 80 90 100 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 DM = 1000 cm and 1/100 km

10. mmcmdmmDmhmkm 1/1000 m1/100 m1/10 m1 m10 m100 m1000 m millimetre centimetre decimetremetreDecametre hectometre kilometre Units of Distance The principal unit of distance in the metric system is the metre (m) BiggerSmaller khDmdcm Metre Stick cm 1020 30 40 50 60 70 80 90 100 Use the table to answer the following: (a) How many Dm in a hm(b) How many km in a hm 10 1/10

11. mmcmdmmDmhmkm 1/1000 m1/100 m1/10 m1 m10 m100 m1000 m millimetre centimetre decimetremetreDecametre hectometre kilometre Units of Distance The principal unit of distance in the metric system is the metre (m) BiggerSmaller khDmdcm Metre Stick cm 1020 30 40 50 60 70 80 90 100 Use the table to answer the following: (a) How many mm in a dm(b) How many Dm in a dm 100 1/100

12. mmcmdmmDmhmkm 1/1000 m1/100 m1/10 m1 m10 m100 m1000 m millimetre centimetre decimetremetreDecametre hectometre kilometre Units of Distance The principal unit of distance in the metric system is the metre (m) BiggerSmaller khDmdcm Metre Stick cm 1020 30 40 50 60 70 80 90 100 Use the table to answer the following: (a) How many mm in a Dm(b) How many hm in a Dm 10 0001/10

13. Common Units mmcmdmmDmhmkm 1/1000 m1/100 m1/10 m1 m10 m100 m1000 m millimetre centimetre decimetremetreDecametre hectometre kilometre Units of Distance The principal unit of distance in the metric system is the metre (m) BiggerSmaller 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm khDmdcm Metre Stick cm 1020 30 40 50 60 70 80 90 100 The most commonly used units of length along with the metre are the kilometre, centimetre and millimetre and these are the units that we will now concentrate on. It is better to try and remember/work out the relationships between these common units of distance but the table can be used if needed.

14. Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm By looking at the three basic relationships above we can establish others. For instance: 1km = 100 000 cm 1 m = 1000 mm 1mm = 1/10 cm 1 cm = 1/100 m 1m = 1/1000 km

15. Km to m Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 100 000 cm 1 m = 1000 mm 1mm = 1/10 cm 1 cm = 1/100 m 1m = 1/1000 km Use these relationships to help you work out the following problems: London 5 km How many metres to London? 5 000 m

16. Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 100 000 cm 1 m = 1000 mm 1mm = 1/10 cm 1 cm = 1/100 m 1m = 1/1000 km Use these relationships to help you work out the following problems: Prague 7½ km How many metres to Prague? 7 500 m

17. Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 100 000 cm 1 m = 1000 mm 1mm = 1/10 cm 1 cm = 1/100 m 1m = 1/1000 km Use these relationships to help you work out the following problems: Pisa 9 ¾ km How many metres to Pisa? 9 750 m

18. Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 100 000 cm 1 m = 1000 mm 1mm = 1/10 cm 1 cm = 1/100 m 1m = 1/1000 km Use these relationships to help you work out the following problems: Milan 6.4 km How many metres to Milan? 6 400 m

19. Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 100 000 cm 1 m = 1000 mm 1mm = 1/10 cm 1 cm = 1/100 m 1m = 1/1000 km Use these relationships to help you work out the following problems: Berlin 5.35 km How many metres to Berlin? 5 350 m

20. m to km Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 100 000 cm 1 m = 1000 mm 1mm = 1/10 cm 1 cm = 1/100 m 1m = 1/1000 km Use these relationships to help you work out the following problems: London 9000 m How many km to London? 9 km

21. Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 100 000 cm 1 m = 1000 mm 1mm = 1/10 cm 1 cm = 1/100 m 1m = 1/1000 km Use these relationships to help you work out the following problems: Prague 8500 m How many km to Prague? 8½ km

22. Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 100 000 cm 1 m = 1000 mm 1mm = 1/10 cm 1 cm = 1/100 m 1m = 1/1000 km Use these relationships to help you work out the following problems: Pisa 3400 m How many km to Pisa? 3.4 km

23. Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 100 000 cm 1 m = 1000 mm 1mm = 1/10 cm 1 cm = 1/100 m 1m = 1/1000 km Use these relationships to help you work out the following problems: Centre 950 m How many km to Berlin? 0.95 km

24. Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 100 000 cm 1 m = 1000 mm 1mm = 1/10 cm 1 cm = 1/100 m 1m = 1/1000 km Use these relationships to help you work out the following problems: Rome 6750 m How many km to Rome? 6.75 km

25. Questionkm m 11 24 33.5 4500 5750 69.75 76.258 85300 96840 103.782 Complete the table below.

26. Questionkm m 111000 244000 33.53500 4½500 5¾750 69.759750 76.2586258 85.35300 96.846840 103.7823782 Complete the table below.

27. m to cm Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 100 000 cm 1 m = 1000 mm 1mm = 1/10 cm 1 cm = 1/100 m 1m = 1/1000 km Use these relationships to help you work out the following problems: 2 m 1.3 m height 200 cm width = 130 cm Find the height and width of the door in cm.

28. Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 100 000 cm 1 m = 1000 mm 1mm = 1/10 cm 1 cm = 1/100 m 1m = 1/1000 km Use these relationships to help you work out the following problems: length 215 cm width = 90 cm Find the length and width of the pool table in cm. 2.15 m 0.9 m

29. Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 100 000 cm 1 m = 1000 mm 1mm = 1/10 cm 1 cm = 1/100 m 1m = 1/1000 km Use these relationships to help you work out the following problems: height = 765.4 cm width = 304 cm Find the height and width of the tower in cm. 7.654 m 3.04 m

30. cm to m Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 100 000 cm 1 m = 1000 mm 1mm = 1/10 cm 1 cm = 1/100 m 1m = 1/1000 km Use these relationships to help you work out the following problems: 190 cm height 1.9 m width = 1.34 m Find the height and width of the door in metres. 134 cm

31. Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 100 000 cm 1 m = 1000 mm 1mm = 1/10 cm 1 cm = 1/100 m 1m = 1/1000 km Use these relationships to help you work out the following problems: length = 25.2 m width = 14.85 m Find the length and width of the court in metres. 2520 cm 1485 cm

32. Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 100 000 cm 1 m = 1000 mm 1mm = 1/10 cm 1 cm = 1/100 m 1m = 1/1000 km Use these relationships to help you work out the following problems: Find the height of the Russian Doll in metres. 27 cm height = 0.27 m

33. Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 100 000 cm 1 m = 1000 mm 1mm = 1/10 cm 1 cm = 1/100 m 1m = 1/1000 km Use these relationships to help you work out the following problems: 0.7 m 0.45 m Find the length of the strips of wood in metres. Metre Stick cm 1020 30 40 50 60 70 80 90 100

34. Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 100 000 cm 1 m = 1000 mm 1mm = 1/10 cm 1 cm = 1/100 m 1m = 1/1000 km Use these relationships to help you work out the following problems: 0.09 m 0.84 m Find the length of the strips of wood in metres. Metre Stick cm 1020 30 40 50 60 70 80 90 100

35. Questionm cm 11 24 33.5 450 575 69.75 74.28 8840 9783 103.08 Complete the table below.

36. Questionm cm 11100 24400 33.5350 4½50 5¾75 69.75975 74.28428 88.4840 97.83783 103.08308 Complete the table below.

37. cm mm and m Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 100 000 cm 1 m = 1000 mm 1mm = 1/10 cm 1 cm = 1/100 m 1m = 1/1000 km Use these relationships to help you work out the following problems: Find the height of the Russian Doll in mm. 27 cm height = 270 mm

38. Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 100 000 cm 1 m = 1000 mm 1mm = 1/10 cm 1 cm = 1/100 m 1m = 1/1000 km Use these relationships to help you work out the following problems: 700 mm 450 mm Find the length of the strips of wood in mm. Metre Stick cm 1020 30 40 50 60 70 80 90 100

39. Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 100 000 cm 1 m = 1000 mm 1mm = 1/10 cm 1 cm = 1/100 m 1m = 1/1000 km Use these relationships to help you work out the following problems: 90 mm 840 mm Find the length of the strips of wood in mm. Metre Stick cm 1020 30 40 50 60 70 80 90 100

40. Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 100 000 cm 1 m = 1000 mm 1mm = 1/10 cm 1 cm = 1/100 m 1m = 1/1000 km Use these relationships to help you work out the following problems: 2 m 1.3 m height 2000 mm width = 1300 mm Find the height and width of the door in mm.

41. Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 100 000 cm 1 m = 1000 mm 1mm = 1/10 cm 1 cm = 1/100 m 1m = 1/1000 km Use these relationships to help you work out the following problems: length 2150 mm width = 900 mm Find the length and width of the pool table in mm. 2.15 m 0.9 m

42. Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 100 000 cm 1 m = 1000 mm 1mm = 1/10 cm 1 cm = 1/100 m 1m = 1/1000 km Use these relationships to help you work out the following problems: height = 7650 mm width = 3040 mm Find the height and width of the tower in mm. 7.65 m 3.04 m

43. Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 100 000 cm 1 m = 1000 mm 1mm = 1/10 cm 1 cm = 1/100 m 1m = 1/1000 km Use these relationships to help you work out the following problems: 1900 mm height 1.9 m width = 1.34 m Find the height and width of the door in metres. 1340 mm

44. Questionm cmmm 11 2 50 31.5 43000 5¾ 62400 7786 8150 99.1 105340 Complete the table below.

45. Questionm cmmm 111001000 2½50500 31.51501500 433003000 5¾75750 62.42402400 77.867867860 80.1515150 99.19109100 105.345345340 Complete the table below.

46. Worksheets Questionkm m 11 24 33.5 4500 5750 69.75 76.258 85300 96840 103.782 Complete the table below. Worksheet 1

47. Questionm cm 11 24 33.5 450 575 69.75 74.28 8840 9783 103.08 Complete the table below. Worksheet 2

48. Questionm cmmm 11 2 50 31.5 43000 5¾ 62400 7786 8150 99.1 105340 Complete the table below. Worksheet 3