This document discusses measuring length using the metric system. It provides examples of common metric units like millimeters, centimeters, meters, and kilometers. It explains that smaller units are used to measure shorter lengths, while larger units like meters and kilometers are used to measure longer distances. The document also shows how to convert between metric units by moving the decimal point a set number of places to the left or right. Finally, it provides practice problems for converting between different metric units of length.

3. 1. gain knowledge on measuring lengths
2. convert unit of length measure to
another unit

5. To measure:
These are all examples of .
how far apart are they
how tall
how long things are

6. These are the most common measurements:
• millimeters (mm)
• centimeters (cm)
• meters (m)
• kilometers (km)

7. Small units of length are called .
A millimiter is about the
thickness of a plastic ID card (or
ATM or credit card)
or about the thickness of 10
sheets of paper on top of each
other
This is a very small
measurement!

8. When we have , it can be called a
1 𝑐𝑒𝑛𝑡𝑖𝑚𝑒𝑡𝑒𝑟 = 10 𝑚𝑖𝑙𝑙𝑖𝑚𝑒𝑡𝑒𝑟𝑠
A fingernail is about
.

9. Two tape measures, one is in mm, the other in cm.
millimeters
centimeters

10. We can use millimeters or centimeters to measure
how tall we are, or how wide a table is, but to
measure the length of a football field it is better to
use .
A meter is equal to 100 centimeters.
1 𝑚𝑒𝑡𝑒𝑟 = 100 𝑐𝑒𝑛𝑡𝑖𝑚𝑒𝑡𝑒𝑟𝑠

11. The length of this guitar is about 1 meter.
can be use to measure the length of a house,
or the size of a playground.

12. Check this one.
1 𝑐𝑒𝑛𝑡𝑖𝑚𝑒𝑡𝑒𝑟 = 10 𝑚𝑖𝑙𝑙𝑖𝑚𝑒𝑡𝑒𝑟𝑠
1 𝑚𝑒𝑡𝑒𝑟 = ______ 𝑚𝑖𝑙𝑙𝑖𝑚𝑒𝑡𝑒𝑟𝑠
1 𝑚𝑒𝑡𝑒𝑟 = 100 𝑐𝑒𝑛𝑡𝑖𝑚𝑒𝑡𝑒𝑟𝑠
1000

13. A is equal to 1000
.
When we need to get from one
place to another, we measure
the distance using kilometers.

14. Other examples:

15. Activity!

16. Objectives:
1. Try to guess what would be the length for each
object.
2. Closest to the wins a point.
Materials:
• Ruler (smaller objects)
• Tape measure (larger objects)

18. is used for measuring length
*came from the greek word metron, “to
measure”
is used for determining mass
(weight)
is the metric unit for volume

19. Word Symbol Meaning
kilometer
hectometer
dekameter
meter
decimeter
centimeter
millimeter
km
hm
da
m
dm
cm
mm
1000 meters
100 meters
10 meters
1 meter
0.1 meter
0.01 meter
0.001 meter

24. Angle FindersTape Measure
Telescopic
Measuring Rods
Measuring
Wheels
Laser Meter
Stainless
Steel Rulers Squares
Engineering
Tools
Damp
Meters

26. These rules are used to change from one metric unit to
another:
1. To change a larger unit to a smaller unit (move to
the right in the diagram)
2. To change a smaller unit to a larger unit (move to
the right in the diagram)

27. These rules are used to change from one metric unit to
another:
1. To change a larger unit to a smaller unit (move to
the right in the diagram)
2. To change a smaller unit to a larger unit (move to
the right in the diagram)
Guide:
km
(kilometer)
hm
(hectometer)
da
(dekameter)
m
(meter)
dm
(decimeter)
cm
(centimeter)
mm
(millimeter)

28. km
(kilometer)
hm
(hectometer)
da
(dekameter)
m
(meter)
dm
(decimeter)
cm
(centimeter)
mm
(millimeter)
These rules are used to change from one metric unit to another:
1. To change a larger unit to a smaller unit (move to the right
in the diagram)
2. To change a smaller unit to a larger unit (move to the right
in the diagram)
Example 1: Convert each to the indicated unit.
a. 15 hm to dm

29. km
(kilometer)
hm
(hectometer)
da
(dekameter)
m
(meter)
dm
(decimeter)
cm
(centimeter)
mm
(millimeter)
These rules are used to change from one metric unit to another:
1. To change a larger unit to a smaller unit (move to the right
in the diagram)
2. To change a smaller unit to a larger unit (move to the right
in the diagram)
Example 1: Convert each to the indicated unit.
a. 15 hm to dm 15hm = 15000 dm
move 3 places to the right
decimal point

30. These rules are used to change from one metric unit to another:
1. To change a larger unit to a smaller unit (move to the right
in the diagram)
2. To change a smaller unit to a larger unit (move to the right
in the diagram)
Example 1: Convert each to the indicated unit.
a. 15 hm to dm 15hm = 15000 dm
km
(kilometer)
hm
(hectometer)
da
(dekameter)
m
(meter)
dm
(decimeter)
cm
(centimeter)
mm
(millimeter)
move 3 places to the right

31. These rules are used to change from one metric unit to another:
1. To change a larger unit to a smaller unit (move to the right
in the diagram)
2. To change a smaller unit to a larger unit (move to the right
in the diagram)
Example 1: Convert each to the indicated unit.
a. 15 hm to dm 15hm = 15000 dm
km
(kilometer)
hm
(hectometer)
da
(dekameter)
m
(meter)
dm
(decimeter)
cm
(centimeter)
mm
(millimeter)
move 3 places to the right

32. km
(kilometer)
hm
(hectometer)
da
(dekameter)
m
(meter)
dm
(decimeter)
cm
(centimeter)
mm
(millimeter)
These rules are used to change from one metric unit to another:
1. To change a larger unit to a smaller unit (move to the right
in the diagram)
2. To change a smaller unit to a larger unit (move to the right
in the diagram)
Example 2: Convert each to the indicated unit.
b. 4.8 da to mm

33. km
(kilometer)
hm
(hectometer)
da
(dekameter)
m
(meter)
dm
(decimeter)
cm
(centimeter)
mm
(millimeter)
These rules are used to change from one metric unit to another:
1. To change a larger unit to a smaller unit (move to the right
in the diagram)
2. To change a smaller unit to a larger unit (move to the right
in the diagram)
Example 2: Convert each to the indicated unit.
b. 4.8 da to mm 4.8da = 48000 mm
move 4 places
to the right
decimal point

34. These rules are used to change from one metric unit to another:
1. To change a larger unit to a smaller unit (move to the right
in the diagram)
2. To change a smaller unit to a larger unit (move to the right
in the diagram)
Example 2: Convert each to the indicated unit.
b. 4.8 da to mm 4.8da = 48000 mm
km
(kilometer)
hm
(hectometer)
da
(dekameter)
m
(meter)
dm
(decimeter)
cm
(centimeter)
mm
(millimeter)
move 4 places
to the right

35. These rules are used to change from one metric unit to another:
1. To change a larger unit to a smaller unit (move to the right
in the diagram)
2. To change a smaller unit to a larger unit (move to the right
in the diagram)
Example 2: Convert each to the indicated unit.
b. 4.8 da to mm 4.8da = 48000 mm
km
(kilometer)
hm
(hectometer)
da
(dekameter)
m
(meter)
dm
(decimeter)
cm
(centimeter)
mm
(millimeter)
move 4 places
to the right

36. km
(kilometer)
hm
(hectometer)
da
(dekameter)
m
(meter)
dm
(decimeter)
cm
(centimeter)
mm
(millimeter)
These rules are used to change from one metric unit to another:
1. To change a larger unit to a smaller unit (move to the right
in the diagram)
2. To change a smaller unit to a larger unit (move to the right
in the diagram)
Example 3: Convert each to the indicated unit.
c. 543 m to km

37. km
(kilometer)
hm
(hectometer)
da
(dekameter)
m
(meter)
dm
(decimeter)
cm
(centimeter)
mm
(millimeter)
These rules are used to change from one metric unit to another:
1. To change a larger unit to a smaller unit (move to the right
in the diagram)
2. To change a smaller unit to a larger unit (move to the right
in the diagram)
Example 3: Convert each to the indicated unit.
c. 543 m to km 543m = 0.543 km
move 3 places
to the left
decimal point

38. These rules are used to change from one metric unit to another:
1. To change a larger unit to a smaller unit (move to the right
in the diagram)
2. To change a smaller unit to a larger unit (move to the right
in the diagram)
Example 3: Convert each to the indicated unit.
c. 543 m to km 543m = 0.543 km
km
(kilometer)
hm
(hectometer)
da
(dekameter)
m
(meter)
dm
(decimeter)
cm
(centimeter)
mm
(millimeter)
move 3 places
to the left

39. These rules are used to change from one metric unit to another:
1. To change a larger unit to a smaller unit (move to the right
in the diagram)
2. To change a smaller unit to a larger unit (move to the right
in the diagram)
Example 3: Convert each to the indicated unit.
c. 543 m to km 543m = 0.543 km
km
(kilometer)
hm
(hectometer)
da
(dekameter)
m
(meter)
dm
(decimeter)
cm
(centimeter)
mm
(millimeter)
move 3 places
to the left

40. km
(kilometer)
hm
(hectometer)
da
(dekameter)
m
(meter)
dm
(decimeter)
cm
(centimeter)
mm
(millimeter)
These rules are used to change from one metric unit to another:
1. To change a larger unit to a smaller unit (move to the right
in the diagram)
2. To change a smaller unit to a larger unit (move to the right
in the diagram)
Example 4: Convert each to the indicated unit.
d. 12.3 cm to km

41. km
(kilometer)
hm
(hectometer)
da
(dekameter)
m
(meter)
dm
(decimeter)
cm
(centimeter)
mm
(millimeter)
These rules are used to change from one metric unit to another:
1. To change a larger unit to a smaller unit (move to the right
in the diagram)
2. To change a smaller unit to a larger unit (move to the right
in the diagram)
Example 4: Convert each to the indicated unit.
d. 12.3 cm to km 12.3cm = 0.000123 km
move 5 places
to the left
decimal point

42. These rules are used to change from one metric unit to another:
1. To change a larger unit to a smaller unit (move to the right
in the diagram)
2. To change a smaller unit to a larger unit (move to the right
in the diagram)
Example 4: Convert each to the indicated unit.
d. 12.3 cm to km 12.3cm = 0.000123 km
km
(kilometer)
hm
(hectometer)
da
(dekameter)
m
(meter)
dm
(decimeter)
cm
(centimeter)
mm
(millimeter)
move 5 places
to the left

43. These rules are used to change from one metric unit to another:
1. To change a larger unit to a smaller unit (move to the right
in the diagram)
2. To change a smaller unit to a larger unit (move to the right
in the diagram)
Example 4: Convert each to the indicated unit.
d. 12.3 cm to km 12.3cm = 0.000123 km
km
(kilometer)
hm
(hectometer)
da
(dekameter)
m
(meter)
dm
(decimeter)
cm
(centimeter)
mm
(millimeter)
move 5 places
to the left

44. question
s?

46. 1. 7, 000m = km
2. 13.3cm = mm
3. 0.184da = dm
4. 22.54mm = m
5. 0.00014hm = cm
7
133
18.4
0.02254
1.4
These rules are used to change from one metric unit to another:
1. To change a larger unit to a smaller unit (move to the right
in the diagram)
2. To change a smaller unit to a large r unit (move to the right
in the diagram)

48. 12 inches (in.) = 1 foot (ft.)
36 inches (in.) = 1 yard (yd.)
3 feet (ft.) = 1 yard (yd.)
5 280 feet (ft.) = 1 mile (mi.)

50. Another way to convert one unit to another is
called . In this procedure
we use unit fractions. Following are examples.
12 inches (in.) = 1 foot (ft.) 3 feet (ft.) = 1 yard (yd.)
36 inches (in.) = 1 yard (yd.) 5 280 feet (ft.) = 1 mile (mi.)
1𝑓𝑡.
12𝑖𝑛.
;
12𝑖𝑛.
1𝑓𝑡.
;
1𝑦𝑑.
36𝑖𝑛.
;
36𝑖𝑛.
1𝑦𝑑.
;
1𝑦𝑑.
3𝑓𝑡.
;
3𝑓𝑡.
1𝑦𝑑.
;
1𝑚𝑖.
5280𝑓𝑡.
;
5280𝑓𝑡.
1𝑚𝑖.

51. Example 1:
Complete each
12 inches (in.) = 1 foot (ft.) 3 feet (ft.) = 1 yard (yd.)
36 inches (in.) = 1 yard (yd.) 5 280 feet (ft.) = 1 mile (mi.)
𝑎. 8𝑓𝑡. = in
8𝑓𝑡. =
8𝑓𝑡
1
∙
12𝑖𝑛
1𝑓𝑡
Eliminate
and introduce
.
=
96𝑖𝑛
1
CANCEL.. SIMPLIFY
96 𝑖𝑛.=
96

52. Example 2:
Complete each
12 inches (in.) = 1 foot (ft.) 3 feet (ft.) = 1 yard (yd.)
36 inches (in.) = 1 yard (yd.) 5 280 feet (ft.) = 1 mile (mi.)
𝑎. 57𝑦𝑑. = ft.
57𝑦𝑑. =
57𝑦𝑑
1
∙
3𝑓𝑡
1𝑦𝑑
Eliminate
and introduce
.
=
171ft
1
CANCEL.. SIMPLIFY
171 𝑓𝑡.=
171

53. Example 3:
Complete each
12 inches (in.) = 1 foot (ft.) 3 feet (ft.) = 1 yard (yd.)
36 inches (in.) = 1 yard (yd.) 5 280 feet (ft.) = 1 mile (mi.)
𝑎. 144𝑖𝑛. = yd.
144𝑖𝑛. =
144𝑖𝑛
1
∙
1𝑦𝑑
36𝑖𝑛
Eliminate
and introduce
.
=
144 yd
36
CANCEL.. SIMPLIFY
4 𝑦𝑑.=
4

54. question
s?

55. E-Math 7
Practice and Application
Test I and II
Page 91

58. question
s?