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Metric Units Refresher 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 e e e i l c c t c n l o t a r i t l 1000 o 10 e i i 100 1 1/1000

k h D m d c m Units of Distance The principal unit of distance in the metric system is the metre (m) Bigger Smaller kilometre hectometre Decametre decimetre centimetre millimetre 1000 m 10 m 1/1000 m km hm Dm m dm cm mm Metre Stick cm 10 20 30 40 50 60 70 80 90 100

Origin of the Metre Just a few years after the French Revolution of 1789 the French Academy of Sciences defined the metre as 1/10 000 of the distance between the North Pole and the Equator. What is the approximate distance around the Earth in km/miles? 40 000 m = 40 000 km 5/8 x 40 000 = 25 000 miles This line of longitude passed through Paris as did the Paris Meridian. cm 10 20 10 000 m It might sound improbable but it’s true! 30 40 50 60 70 Today over 100 bronze medallions can be seen marking the original line through Paris. In 1884 at a conference in Washington and with much French resistance, the Greenwich meridian was adopted as the world’s Prime Meridian. 80 90 100

k h D m d c m Units of Distance The principal unit of distance in the metric system is the metre (m) Bigger Smaller kilometre hectometre Decametre decimetre centimetre millimetre 1000 m 10 m 1/1000 m km hm Dm m dm cm mm 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 Metre Stick cm 10 20 30 40 50 60 70 80 90 100 Less common units

k h D m d c m Units of Distance The principal unit of distance in the metric system is the metre (m) Bigger Smaller kilometre hectometre Decametre decimetre centimetre millimetre 1000 m 10 m 1/1000 m km hm Dm m dm cm mm 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 Metre Stick cm 10 20 30 40 50 60 70 80 90 100

k h D m d c m Units of Distance The principal unit of distance in the metric system is the metre (m) Bigger Smaller kilometre hectometre Decametre decimetre centimetre millimetre 1000 m 10 m 1/1000 m km hm Dm m dm cm mm 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 Metre Stick cm 10 20 30 40 50 60 70 80 90 100

k h D m d c m Units of Distance The principal unit of distance in the metric system is the metre (m) Bigger Smaller kilometre hectometre Decametre decimetre centimetre millimetre 1000 m 10 m 1/1000 m km hm Dm m dm cm mm 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 Metre Stick cm 10 20 30 40 50 60 70 80 90 100

k h D m d c m Units of Distance The principal unit of distance in the metric system is the metre (m) Bigger Smaller kilometre hectometre Decametre decimetre centimetre millimetre 1000 m 10 m 1/1000 m km hm Dm m dm cm mm Use the table to answer the following: (a) How many Dm in a hm 10 cm 10 20 30 (b) How many km in a hm 1/10 Metre Stick 40 50 60 70 80 90 100

k h D m d c m Units of Distance The principal unit of distance in the metric system is the metre (m) Bigger Smaller kilometre hectometre Decametre decimetre centimetre millimetre 1000 m 10 m 1/1000 m km hm Dm m dm cm mm Use the table to answer the following: (a) How many mm in a dm 100 cm 10 20 30 (b) How many Dm in a dm 1/100 Metre Stick 40 50 60 70 80 90 100

k h D m d c m Units of Distance The principal unit of distance in the metric system is the metre (m) Bigger Smaller kilometre hectometre Decametre decimetre centimetre millimetre 1000 m 10 m 1/1000 m km hm Dm m dm cm mm Use the table to answer the following: (a) How many mm in a Dm 10 000 cm 10 20 30 (b) How many hm in a Dm 1/10 Metre Stick 40 50 60 70 80 90 100

k h D m d c m Units of Distance The principal unit of distance in the metric system is the metre (m) Bigger Smaller kilometre hectometre Decametre decimetre centimetre millimetre 1000 m 10 m 1/1000 m km hm Dm m dm cm mm 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. 1 km = 1000 m cm 10 20 30 1 m = 100 cm Metre Stick 40 50 60 1 cm = 10 mm 70 80 90 100 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. Common Units

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

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

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

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

Units of Distance 1 km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1 km = 100 000 cm 1 m = 1000 mm 1 mm = 1/10 cm 1 cm = 1/100 m 1 m = 1/1000 km Use these relationships to help you work out the following problems: How many metres to Milan? Milan 6. 4 km 6 400 m

Units of Distance 1 km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1 km = 100 000 cm 1 m = 1000 mm 1 mm = 1/10 cm 1 cm = 1/100 m 1 m = 1/1000 km Use these relationships to help you work out the following problems: How many metres to Berlin? Berlin 5. 35 km 5 350 m

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

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

Units of Distance 1 km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1 km = 100 000 cm 1 m = 1000 mm 1 mm = 1/10 cm 1 cm = 1/100 m 1 m = 1/1000 km Use these relationships to help you work out the following problems: How many km to Pisa? Pisa 3400 m 3. 4 km

Units of Distance 1 km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1 km = 100 000 cm 1 m = 1000 mm 1 mm = 1/10 cm 1 cm = 1/100 m 1 m = 1/1000 km Use these relationships to help you work out the following problems: How many km to Berlin? Centre 950 m 0. 95 km

Units of Distance 1 km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1 km = 100 000 cm 1 m = 1000 mm 1 mm = 1/10 cm 1 cm = 1/100 m 1 m = 1/1000 km Use these relationships to help you work out the following problems: How many km to Rome? Rome 6750 m 6. 75 km

Complete the table below. Question km 1 1 2 4 3 3. 5 m 4 500 5 750 6 9. 75 7 6. 258 8 5300 9 6840 10 3. 782

Complete the table below. Question km m 1 1 1000 2 4 4000 3 3. 5 3500 4 ½ 500 5 ¾ 750 6 9. 75 9750 7 6. 258 6258 8 5. 3 5300 9 6. 84 6840 10 3. 782 3782

Units of Distance 1 km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1 km = 100 000 cm 1 m = 1000 mm 1 mm = 1/10 cm 1 cm = 1/100 m 1 m = 1/1000 km Use these relationships to help you work out the following problems: Find the height and width of the door in cm. height 200 cm 2 m 1. 3 m width = 130 cm m to cm

Units of Distance 1 km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1 km = 100 000 cm 1 m = 1000 mm 1 mm = 1/10 cm 1 cm = 1/100 m 1 m = 1/1000 km Use these relationships to help you work out the following problems: 2. 15 m Find the length and width of the pool table in cm. length 215 cm 0. 9 m width = 90 cm

Units of Distance 1 km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1 km = 100 000 cm 1 m = 1000 mm 1 mm = 1/10 cm 1 cm = 1/100 m 1 m = 1/1000 km Use these relationships to help you work out the following problems: Find the height and width of the tower in cm. height = 765. 4 cm 7. 654 m width = 304 cm 3. 04 m

Units of Distance 1 km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1 km = 100 000 cm 1 m = 1000 mm 1 mm = 1/10 cm 1 cm = 1/100 m 1 m = 1/1000 km Use these relationships to help you work out the following problems: Find the height and width of the door in metres. height 1. 9 m 190 cm 134 cm width = 1. 34 m cm to m

Units of Distance 1 km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1 km = 100 000 cm 1 m = 1000 mm 1 mm = 1/10 cm 1 cm = 1/100 m 1 m = 1/1000 km Use these relationships to help you work out the following problems: Find the length and width of the court in metres. 2520 cm length = 25. 2 m 1485 cm width = 14. 85 m

Units of Distance 1 km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1 km = 100 000 cm 1 m = 1000 mm 1 mm = 1/10 cm 1 cm = 1/100 m 1 m = 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

Units of Distance 1 km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1 km = 100 000 cm 1 m = 1000 mm 1 mm = 1/10 cm 1 cm = 1/100 m 1 m = 1/1000 km Use these relationships to help you work out the following problems: Find the length of the strips of wood in metres. cm 10 20 30 40 50 60 70 80 90 Metre Stick 0. 7 m 0. 45 m 100

Units of Distance 1 km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1 km = 100 000 cm 1 m = 1000 mm 1 mm = 1/10 cm 1 cm = 1/100 m 1 m = 1/1000 km Use these relationships to help you work out the following problems: Find the length of the strips of wood in metres. cm 10 20 30 40 50 60 70 80 90 Metre Stick 0. 09 m 0. 84 m 100

Complete the table below. Question m 1 1 2 4 3 3. 5 cm 4 50 5 75 6 9. 75 7 4. 28 8 840 9 783 10 3. 08

Complete the table below. Question m cm 1 1 100 2 4 400 3 3. 5 350 4 ½ 50 5 ¾ 75 6 9. 75 975 7 4. 28 428 8 8. 4 840 9 7. 83 783 10 3. 08 308

Units of Distance 1 km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1 km = 100 000 cm 1 m = 1000 mm 1 mm = 1/10 cm 1 cm = 1/100 m 1 m = 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 cm mm and m

Units of Distance 1 km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1 km = 100 000 cm 1 m = 1000 mm 1 mm = 1/10 cm 1 cm = 1/100 m 1 m = 1/1000 km Use these relationships to help you work out the following problems: Find the length of the strips of wood in mm. cm 10 20 30 40 50 60 70 80 90 Metre Stick 700 mm 450 mm 100

Units of Distance 1 km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1 km = 100 000 cm 1 m = 1000 mm 1 mm = 1/10 cm 1 cm = 1/100 m 1 m = 1/1000 km Use these relationships to help you work out the following problems: Find the length of the strips of wood in mm. cm 10 20 30 40 50 60 70 80 90 Metre Stick 90 mm 840 mm 100

Units of Distance 1 km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1 km = 100 000 cm 1 m = 1000 mm 1 mm = 1/10 cm 1 cm = 1/100 m 1 m = 1/1000 km Use these relationships to help you work out the following problems: Find the height and width of the door in mm. height 2000 mm 2 m 1. 3 m width = 1300 mm

Units of Distance 1 km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1 km = 100 000 cm 1 m = 1000 mm 1 mm = 1/10 cm 1 cm = 1/100 m 1 m = 1/1000 km Use these relationships to help you work out the following problems: 2. 15 m Find the length and width of the pool table in mm. length 2150 mm 0. 9 m width = 900 mm

Units of Distance 1 km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1 km = 100 000 cm 1 m = 1000 mm 1 mm = 1/10 cm 1 cm = 1/100 m 1 m = 1/1000 km Use these relationships to help you work out the following problems: Find the height and width of the tower in mm. height = 7650 mm 7. 65 m width = 3040 mm 3. 04 m

Units of Distance 1 km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1 km = 100 000 cm 1 m = 1000 mm 1 mm = 1/10 cm 1 cm = 1/100 m 1 m = 1/1000 km Use these relationships to help you work out the following problems: Find the height and width of the door in metres. height 1. 9 m 1900 mm 1340 mm width = 1. 34 m

Complete the table below. Question m 1 1 2 3 cm 50 1. 5 4 5 3000 ¾ 6 2400 7 786 8 9 10 mm 150 9. 1 5340

Complete the table below. Question m cm mm 1 1 1000 2 ½ 50 500 3 1. 5 1500 4 3 3000 5 ¾ 75 750 6 2. 4 2400 7 7. 86 7860 8 0. 15 15 150 9 9. 1 9100 10 5. 34 5340

Worksheet 1 Complete the table below. Question km 1 1 2 4 3 3. 5 m 4 500 5 750 6 9. 75 7 6. 258 8 5300 9 6840 10 3. 782 Worksheets

Worksheet 2 Complete the table below. Question m 1 1 2 4 3 3. 5 cm 4 50 5 75 6 9. 75 7 4. 28 8 840 9 783 10 3. 08

Worksheet 3 Complete the table below. Question m 1 1 2 3 cm 50 1. 5 4 5 3000 ¾ 6 2400 7 786 8 9 10 mm 150 9. 1 5340