The document discusses different units of measurement for mass and how to convert between units. It introduces grams, kilograms, and tonnes as common mass units and provides examples of the mass of everyday objects. The document then explains how to convert between units using rules and charts, and provides examples of converting between grams, kilograms, decigrams, and other units. Finally, it discusses units in U.S. customary measurement and how to convert between pounds, ounces, and tons.

3. 1. gain knowledge of units of mass
measure
2. convert unit of one unit to another

4. 3. recognize the different units of
measure for mass
4. appreciate application of topic in real
life

6. : how much matter is in an object
In measuring mass, here are the most common
measurements:
• grams (g)
• kilograms (kg)
• tonnes (ton)
are the smallest, are the biggest.

7. • A paperclip weighs about a
gram.
• Grams are often written as .
• A loaf of bread weighs about
700g.
A paperclip weighs about 1 gram.

8. • Once we have a 1000 grams,
we have 1 .
• 1 𝑘𝑖𝑙𝑜𝑔𝑟𝑎𝑚 = 1,000 𝑔𝑟𝑎𝑚𝑠
• kilograms are used greatly for
measuring things that can be
lifted by people
A dictionary has a mass of about
one kilogram

9. • kilograms are often written as
.
• scales measures our weight
using kilograms.

10. When it comes to things that are very
heavy, we need to use .
• Tonnes (also called metric tons)
• used to measure things that are
very heavy
• things like cars, trucks, and large
cargos are weighed using tonnes.
This car is weighs about 2 tonnes.

11. • 1 𝑘𝑖𝑙𝑜𝑔𝑟𝑎𝑚 = 1,000 𝑔𝑟𝑎𝑚𝑠
• 1 𝑡𝑜𝑛𝑛𝑒 = 1,000 𝑘𝑖𝑙𝑜𝑔𝑟𝑎𝑚𝑠.
This car is weighs about 2 tonnes.

12. Other examples:

14. 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

15. Word Symbol Meaning
kilogram
hectogram
dekagram
gram
decigram
centigram
milligram
kg
hg
dag
g
dg
cg
mg
1000 gram
100 gram
10 gram
1 gram
0.1 gram
0.01 gram
0.001 gram

17. 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:
kg
(kilogram)
hg
(hectogram)
dag
(dekagram)
g
(gram)
dg
(decigram)
cg
(centigram)
mg
(milligram)

18. These rules are used to change from one mass 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)
Example 1: Convert each to the indicated unit.
a. 0.3 g to mg
kg
(kilogram)
hg
(hectogram)
dag
(dekagram)
g
(gram)
dg
(decigram)
cg
(centigram)
mg
(milligram)

19. These rules are used to change from one mass 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)
Example 1: Convert each to the indicated unit.
a. 0.3 g to mg
kg
(kilogram)
hg
(hectogram)
dag
(dekagram)
g
(gram)
dg
(decigram)
cg
(centigram)
mg
(milligram)
move
3
places
to the
right
0.3 g = 0.300 mg
decimal point

20. These rules are used to change from one mass 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)
Example 1: Convert each to the indicated unit.
a. 0.3 g to mg
kg
(kilogram)
hg
(hectogram)
dag
(dekagram)
g
(gram)
dg
(decigram)
cg
(centigram)
mg
(milligram)
move
3
places
to the
right
0.3 g = 0.300 mg

21. These rules are used to change from one mass 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)
Example 1: Convert each to the indicated unit.
a. 0.3 g to mg
kg
(kilogram)
hg
(hectogram)
dag
(dekagram)
g
(gram)
dg
(decigram)
cg
(centigram)
mg
(milligram)
move
3
places
to the
right
0.3 g = 300 mg

22. Example 2: Convert each to the indicated unit.
b. 3.2 kg to dg
These rules are used to change from one mass 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)
kg
(kilogram)
hg
(hectogram)
dag
(dekagram)
g
(gram)
dg
(decigram)
cg
(centigram)
mg
(milligram)

23. b. 3.2 kg to dg
Example 2: Convert each to the indicated unit.
3.2 kg = 32000 dg
These rules are used to change from one mass 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)
kg
(kilogram)
hg
(hectogram)
dag
(dekagram)
g
(gram)
dg
(decigram)
cg
(centigram)
mg
(milligram)
move
4
places
to the
right
decimal point

24. b. 3.2 kg to dg
Example 2: Convert each to the indicated unit.
3.2 kg = 32000 dg
These rules are used to change from one mass 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)
kg
(kilogram)
hg
(hectogram)
dag
(dekagram)
g
(gram)
dg
(decigram)
cg
(centigram)
mg
(milligram)
move
4
places
to the
right

25. b. 3.2 kg to dg
Example 2: Convert each to the indicated unit.
3.2 kg = 32000 dg
These rules are used to change from one mass 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)
kg
(kilogram)
hg
(hectogram)
dag
(dekagram)
g
(gram)
dg
(decigram)
cg
(centigram)
mg
(milligram)
move
4
places
to the
right

26. Example 3: Convert each to the indicated unit.
C. 125 cg to dag
These rules are used to change from one mass 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)
kg
(kilogram)
hg
(hectogram)
dag
(dekagram)
g
(gram)
dg
(decigram)
cg
(centigram)
mg
(milligram)

27. C. 125 cg to dag
Example 3: Convert each to the indicated unit.
125 cg = 0.125 dag
These rules are used to change from one 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)
These rules are used to change from one mass 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)
kg
(kilogram)
hg
(hectogram)
dag
(dekagram)
g
(gram)
dg
(decigram)
cg
(centigram)
mg
(milligram)
move 3 places to the left decimal point

28. C. 125 cg to dag
Example 3: Convert each to the indicated unit.
125 cg = 0.125 dag
These rules are used to change from one 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)
These rules are used to change from one mass 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)
kg
(kilogram)
hg
(hectogram)
dag
(dekagram)
g
(gram)
dg
(decigram)
cg
(centigram)
mg
(milligram)
move 3 places to the left

29. C. 125 cg to dag
Example 3: Convert each to the indicated unit.
125 cg = 0.125 dag
These rules are used to change from one 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)
These rules are used to change from one mass 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)
kg
(kilogram)
hg
(hectogram)
dag
(dekagram)
g
(gram)
dg
(decigram)
cg
(centigram)
mg
(milligram)
move 3 places to the left

30. question
s?

32. 1. 13, 000g = kg
2. 3.214 cg = mg
3. 1400 dag = dg
4. 93.36mg = g
5. 0.00077hg = cg
13
32.14
140000
0.09336
77
These rules are used to change from one mass 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)

33. question
s?

35. 1 pound (lb.) = 16 ounces (oz.)
1 U.S short ton (T) = 2000 pounds (lb.)
1 metric ton (t) = 2200 pounds (lb.)

37. Example 1:
Complete each.
𝑎. 128 𝑜𝑧. = lb.
128𝑜𝑧. =
128 𝑜𝑧.
1
∙
1 𝑙𝑏.
16 𝑜𝑧.
Eliminate
and introduce
=
128 𝑙𝑏.
16
CANCEL.. SIMPLIFY
8 𝑙𝑏.=
8
1 pound (lb.) = 16 ounces (oz.)
1 U.S short ton (T) = 2000 pounds (lb.)
1 metric ton (t) = 2200 pounds (lb.)

38. Example 2:
Complete each.
b. 15 𝑇 = _____ lb.
15 𝑇 =
15 𝑇
1
∙
2000 𝑙𝑏.
1 𝑇
Eliminate
and introduce
=
30000 lb.
1
CANCEL.. SIMPLIFY
30000 𝑙𝑏.=
30000
1 pound (lb.) = 16 ounces (oz.)
1 U.S short ton (T) = 2000 pounds (lb.)
1 metric ton (t) = 2200 pounds (lb.)

39. Example 3:
Complete each
c. 120 𝑙𝑏. = oz.
120 𝑙𝑏. =
120 𝑙𝑏.
1
∙
16 𝑜𝑧.
1 𝑙𝑏.
Eliminate
and introduce
.
=
1920 oz.
1
CANCEL.. SIMPLIFY
1920 𝑜𝑧.=
1920
1 pound (lb.) = 16 ounces (oz.)
1 U.S short ton (T) = 2000 pounds (lb.)
1 metric ton (t) = 2200 pounds (lb.)

40. question
s?

41. Symbol
When you
know
Multiply by To find Symbol
g Grams 0.0035 Ounces oz.
kg Kilograms 2.2 pounds lb.
t tons (metric) 1.1
Tons (U.S
short)
T
Symbol
When you
know
Multiply by To find Symbol
oz. Ounces 28 grams g
lb. Pounds 0.45 Kilograms kg
T
tons (U.S
short)
0.9 tons (metric) t

42. Example 1:
25 oz. = g 25.5 × 28 = 714714
25.5 oz. = 714 g

43. Example 2:
142 lb. = kg 142 × 0.45 = 63.963.9
142 lb. = 63.9 kg

44. Example 3:
56 kg. = lb. 56 × 2.2 = 123.2123.2
56 kg. = 123.2 lb.

45. Example 4:
9.8 T = t 9.8 × 0.9 = 8.828.82
9.8 T = 8.82 t

46. question
s?