Whiteboardmaths.com © 2007 All rights reserved

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/ etreetre In earlier work on metric prefixes we looked at a Mnemonic to help us remember them.

Metre Stick cm 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

Origin of the Metre It might sound improbable but it’s true! cm Just a few years after the French Revolution of 1789 the French Academy of Sciences defined the metre as 1/ of the distance between the North Pole and the Equator m What is the approximate distance around the Earth in km/miles? m = km 5/8 x = 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.

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 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

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 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

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 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

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 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

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 Use the table to answer the following: (a) How many Dm in a hm(b) How many km in a hm 10 1/10

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 Use the table to answer the following: (a) How many mm in a dm(b) How many Dm in a dm 100 1/100

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 Metre Stick cm Use the table to answer the following: (a) How many mm in a Dm(b) How many hm in a Dm /10

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 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.

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 = cm 1 m = 1000 mm 1mm = 1/10 cm 1 cm = 1/100 m 1m = 1/1000 km

Km to m Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 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? m

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

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

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

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

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

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

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

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

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

Questionkm m Complete the table below.

Questionkm m ½500 5¾ Complete the table below.

m to cm Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 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.

Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 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 m 0.9 m

Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 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 = cm width = 304 cm Find the height and width of the tower in cm m 3.04 m

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

Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 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 = m Find the length and width of the court in metres cm 1485 cm

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

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

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

Questionm cm Complete the table below.

Questionm cm ½50 5¾ Complete the table below.

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

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

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

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

Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 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 m 0.9 m

Units of Distance 1km = 1000 m 1 m = 100 cm 1 cm = 10 mm 1km = 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 m 3.04 m

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

Questionm cmmm ¾ Complete the table below.

Questionm cmmm ½ ¾ Complete the table below.

Worksheets Questionkm m Complete the table below. Worksheet 1

Questionm cm Complete the table below. Worksheet 2

Questionm cmmm ¾ Complete the table below. Worksheet 3