1. Refresher Metric Units King Henry Died Monday Drinking Chocolate Milk.
A Mnemonic
King Henry Died Monday Drinking Chocolate Milk 1 e t r e n t i
1/100 e c i
1/10 i l
1/1000 i l o
1000 e c t o
100 e c a 10

2. Units of Distance k h D m d c
The principal unit of distance in the metric system is the meter (m)
Bigger
Smaller
meter Stick cm 10 20 30 40 50 60 70 80 90
100
kilometer
hectometer
Decameter
meter
decimeter
centimeter
millimeter
1000 m
100 m
10 m
1 m
1/10 m
1/100 m
1/1000 m km hm Dm m dm cm mm

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

4. Less common units Units of Distance 1 cm = 10 mm and 1/10 dm k h D m d
The principal unit of distance in the metric system is the meter (m)
Bigger
Smaller
kilometer
hectometer
Decameter
meter
decimeter
centimeter
millimeter
1000 m
100 m
10 m
1 m
1/10 m
1/100 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
meter Stick cm 10 20 30 40 50 60 70 80 90
100
Less common units

5. Units of Distance 1 m = 10 dm and 1/10 Dm k h D m d c
The principal unit of distance in the metric system is the meter (m)
Bigger
Smaller
kilometer
hectometer
Decameter
meter
decimeter
centimeter
millimeter
1000 m
100 m
10 m
1 m
1/10 m
1/100 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
meter Stick cm 10 20 30 40 50 60 70 80 90
100

6. Units of Distance 1 m = 100 cm and 1/100 hm k h D m d c
The principal unit of distance in the metric system is the meter (m)
Bigger
Smaller
kilometer
hectometer
Decameter
meter
decimeter
centimeter
millimeter
1000 m
100 m
10 m
1 m
1/10 m
1/100 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
meter Stick cm 10 20 30 40 50 60 70 80 90
100

7. Units of Distance 1 DM = 1000 cm and 1/100 km k h D m d c
The principal unit of distance in the metric system is the meter (m)
Bigger
Smaller
kilometer
hectometer
Decameter
meter
decimeter
centimeter
millimeter
1000 m
100 m
10 m
1 m
1/10 m
1/100 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
meter Stick cm 10 20 30 40 50 60 70 80 90
100

8. 10 1/10 Units of Distance k h D m d c
The principal unit of distance in the metric system is the meter (m)
Bigger
Smaller
kilometer
hectometer
Decameter
meter
decimeter
centimeter
millimeter
1000 m
100 m
10 m
1 m
1/10 m
1/100 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
(b) How many km in a hm 10
1/10
meter Stick cm 10 20 30 40 50 60 70 80 90
100

9. 100 1/100 Units of Distance k h D m d c
The principal unit of distance in the metric system is the meter (m)
Bigger
Smaller
kilometer
hectometer
Decameter
meter
decimeter
centimeter
millimeter
1000 m
100 m
10 m
1 m
1/10 m
1/100 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
(b) How many Dm in a dm
100
1/100
meter Stick cm 10 20 30 40 50 60 70 80 90
100

10. 10 000 1/10 Units of Distance k h D m d c
The principal unit of distance in the metric system is the meter (m)
Bigger
Smaller
kilometer
hectometer
Decameter
meter
decimeter
centimeter
millimeter
1000 m
100 m
10 m
1 m
1/10 m
1/100 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
(b) How many hm in a Dm
10 000
1/10
meter Stick cm 10 20 30 40 50 60 70 80 90
100

11. Common Units Units of Distance k h D m d c
The principal unit of distance in the metric system is the meter (m)
Bigger
Smaller
kilometer
hectometer
Decameter
meter
decimeter
centimeter
millimeter
1000 m
100 m
10 m
1 m
1/10 m
1/100 m
1/1000 m km hm Dm m dm cm mm
The most commonly used units of length along with the meter are the kilometer, centimeter and millimeter and these are the units that we will now concentrate on.
1km = 1000 m 1 m = 100 cm cm = 10 mm
meter Stick cm 10 20 30 40 50 60 70 80 90
100
Common Units
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.

12. 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
By looking at the three basic relationships above we can establish others. For instance:

13. How many meters to London?
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 meters to London?
5 000 m
Km to m

14. How many meters to Prague?
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:
How many meters to Prague?
Prague 7½ km
7 500 m

15. 9 750 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:
How many meters to Pisa?
Pisa 9 ¾ km
9 750 m

16. How many meters to Milan?
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:
How many meters to Milan?
Milan 6.4 km
6 400 m

17. How many meters to Berlin?
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:
How many meters to Berlin?
Berlin 5.35 km
5 350 m

18. m to km 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:
How many km to London?
London 9000 m
9 km
m to km

19. 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:
How many km to Prague?
Prague 8500 m
8½ km

20. 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:
How many km to Pisa?
Pisa 3400 m
3.4 km

21. 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:
How many km to Berlin?
Centre 950 m
0.95 km

22. 6.75 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:
How many km to Rome?
Rome 6750 m
6.75 km

23. Complete the table below.
Question km m 1 2 4 3
3.5
500 5
750 6
9.75 7
6.258 8
5300 9
6840 10
3.782

24. Complete the table below.
Question km m 1
1000 2 4
4000 3
3.5
3500
500 5
750 6
9.75
9750 7
6.258
6258 8
5.3
5300 9
6.84
6840 10
3.782
3782

25. m to cm Units of Distance height 200 cm width = 130 cm
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 and width of the door in cm.
height 200 cm
2 m
width = 130 cm
m to cm
1.3 m

26. Units of Distance 2.15 m length 215 cm 0.9 m width = 90 cm
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 length and width of the pool table in cm.
2.15 m
length 215 cm
0.9 m
width = 90 cm

27. Units of Distance height = 765.4 cm width = 304 cm
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 and width of the tower in cm.
height = cm
7.654 m
width = 304 cm
3.04 m

28. cm to m Units of Distance height 1.9 m width = 1.34 m
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 and width of the door in meters.
height 1.9 m
190 cm
width = m
cm to m
134 cm

29. Units of Distance length = 25.2 m width = 14.85 m
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 length and width of the court in meters.
2520 cm
length = m
1485 cm
width = m

30. Units of Distance height = 0.27 m 27 cm
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 meters.
height = m
27 cm

31. Units of Distance 0.45 m 0.7 m 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 length of the strips of wood in meters. cm 10 20 30 40 50 60 70 80 90
100
meter Stick
0.7 m
0.45 m

32. Units of Distance 0.84 m 0.09 m 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 length of the strips of wood in meters. cm 10 20 30 40 50 60 70 80 90
100
meter Stick
0.09 m
0.84 m

33. Complete the table below.
Question m cm 1 2 4 3
3.5 50 5 75 6
9.75 7
4.28 8
840 9
783 10
3.08

34. Complete the table below.
Question m cm 1
100 2 4
400 3
3.5
350 50 5 75 6
9.75
975 7
4.28
428 8
8.4
840 9
7.83
783 10
3.08
308

35. cm mm and m Units of Distance height = 270 mm 27 cm
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.
height = 270 mm
27 cm
cm mm and m

36. Units of Distance 450 mm 700 mm 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 length of the strips of wood in mm. cm 10 20 30 40 50 60 70 80 90
100
meter Stick
700 mm
450 mm

37. Units of Distance 840 mm 90 mm 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 length of the strips of wood in mm. cm 10 20 30 40 50 60 70 80 90
100
meter Stick
90 mm
840 mm

38. Units of Distance height 2000 mm width = 1300 mm
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 and width of the door in mm.
height mm
2 m
width = mm
1.3 m

39. Units of Distance 2.15 m length 2150 mm 0.9 m width = 900 mm
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 length and width of the pool table in mm.
2.15 m
length mm
0.9 m
width = 900 mm

40. Units of Distance height = 7650 mm width = 3040 mm
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 and width of the tower in mm.
height = 7650 mm
7.65 m
width = mm
3.04 m

41. Units of Distance height 1.9 m width = 1.34 m
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 and width of the door in meters.
height 1.9 m
1900 mm
width = m
1340 mm

42. Complete the table below.
Question m cm mm 1 2 50 3
1.5 4
3000 5 6
2400 7
786 8
150 9
9.1 10
5340

43. Complete the table below.
Question m cm mm 1
100
1000 2 50
500 3
1.5
150
1500 4
300
3000 5 75
750 6
2.4
240
2400 7
7.86
786
7860 8
0.15 15 9
9.1
910
9100 10
5.34
534
5340

44. Worksheets Question km m 1 2 4 3 3.5 500 5 750 6 9.75 7 6.258 8 5300 9
Complete the table below.
Question km m 1 2 4 3
3.5
500 5
750 6
9.75 7
6.258 8
5300 9
6840 10
3.782
Worksheets

45. Worksheet 2
Complete the table below.
Question m cm 1 2 4 3
3.5 50 5 75 6
9.75 7
4.28 8
840 9
783 10
3.08

46. Worksheet 3
Complete the table below.
Question m cm mm 1 2 50 3
1.5 4
3000 5 6
2400 7
786 8
150 9
9.1 10
5340