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HAFIZ
MUHAMM
AD
WASEEM
BA BA G
LAHORE
Standard System for
Weight, Length and Volume
(Part. 1)
Lecture 5
UNIVESITY OF EDUCATION
LAHORE PAKISTAN
Metric units of mass
• Mass is a measurement of the amount of matter
in an object.
• Basic unit of mass is gram (g).
• Weight and mass are related, but NOT the same.
• Weight is the pull of gravity on an object
• The greater the mass, the larger the pull of
gravity.
• Mass is used to measure the weight of an object.
• For example, you are measuring the mass of
your body when you step on to a scale.
• In the metric system of measurement, the most
common units of mass are the
• gram (g) and kilogram (Kg).
mass
milligram
gram
kilogram
tonne
mg
g
kg
t
1000mg = 1g
1000g = 1kg
1000kg = 1t
Quantity Name of unit
Sym
bol
Value
Converting kilograms to grams
• Let's convert 2.8 kg to
grams.
1kg = 1000g
2.8kg = 2.8 ×
1000
= 2800g
• kilogram is the larger
unit than the gram, so
to convert larger unit
to a smaller unit, we
multiply by the factor.
1kg = 1000g, we
multiply by 1000.
Converting grams to milligrams
• Let's convert 3.5 g to
milligrams.
1g = 1000mg
3.5g = 3.5 ×
1000
= 3500mg
• gram is the larger unit
than the milligram, so
to convert larger unit
to a smaller unit, we
multiply by the factor.
1g = 1000mg, we
multiply by 1000.
Converting milligrams to
micrograms
• Let's convert 1.5 mg to
micrograms.
1 mg = 1000µg
1.5mg = 1.5 ×
1000
= 1500µg
• milligram is the larger
unit than the
microgram, so to
convert larger unit to a
smaller unit, we
multiply by the factor.
1mg = 1000µg, we
multiply by 1000.
Converting micro grams to
milligrams
• smaller units to larger
units you divide (÷)
when dividing by 1000
you move the decimal
point in 450.0, three
places to the left.
• 450µg to milligrams
1000 µg = 1mg
450 µg = 450 ÷
1000
= 0.450mg
Converting milligrams to
grams
• smaller units to larger
units you divide (÷).
• when dividing by 1000
you move the decimal
point in 250.0, three
places to the left.
• 250 mg to grams
1000 mg = 1g
250 mg = 250 ÷
1000
= 0.250g
Metric units of length
• In the metric system of measurement, the
most common units of length are
millimeters (mm), centimeters (cm),
meters (m), and kilometers (Km).
How big are metric units of
distance?
• A paper clip is about 1 millimeter thick.
• A fingernail is about 1 centimeter wide.
• The length of a guitar is about 1 meter.
• A kilometer is equal to 1000meters.
•
Summary of metric units of
distance
Converting larger units to
smaller units
• 1 centimeter (cm)=10 millimeters (mm)
• 1 meter (m)=100 centimeters (cm)
1 meter (m)=1,000 millimeters (mm)
1 kilometer (Km)=1,000 meters (m)
• To convert larger units to smaller units we multiply
the number of larger units by the conversion factor
for the appropriate smaller units.
Example
• Let's convert 11m to
centimeters.
1m = 100cm
11m = 11 x 100
= 1100 cm
• meter (m) is a larger
unit than Centimeter
(cm) , so to convert
larger unit to a
smaller unit we
multiply.
• 1m = 100cm , we
multiply by 100.
Example
• Let's convert 2Km to
meters.
1 Km = 1000 m
2Km = 2 x 1000
= 2000 m
• Kilometer (Km) is a
larger unit than
meter (m) , so to
convert larger unit to
a smaller unit we
multiply.
• 1Km = 1000m , we
multiply by 1000.
Converting smaller units to
larger units
• 1 millimeter (mm)=1/10 centimeter (cm)
• 1 centimeter (cm) =1/100 meter (m)
• 1 meter (m)=1/1,000 kilometer (Km)
• To convert smaller units to larger units we divide
the number of smaller units by the conversion
factor for the appropriate larger units.
Example
• Let's convert 250cm
to meters.
100cm = 1m
250cm = 250 ÷
100
= 2.5m
• Centimeter (cm) is
the smaller unit than
the meter, so to
convert smaller unit
to a larger unit we
divide. 100cm = 1m ,
we divide by 100.
Example
• Let's convert 750m to
Kilo meters.
1000m = 1Km
750m = 750 ÷
1000
= 0.750Km
• meter (m) is the
smaller unit than the
Kilo meter, so to
convert smaller unit
to a larger unit we
divide. 1000m = 1Km
, we divide by 1000.
Metric units of volume
• Volume measures capacity.
• For example, the volume of a bowl is the amount
of space inside the bowl or how much water, for
example it would take to fill the bowl.
• In the metric system of measurement, the most
common units of volume are milliliters (ml) and
liters (L).
Example
• Let's convert 2L to
milliliters.
1 L = 1000 ml
2 L = 2 x1000
= 2000 ml
• Liter (L) is the larger
unit than the
milliliter, so to
convert larger unit to
a smaller unit we
multiply.
• 1L = 1000 ml , we
multiply by 1000.
Converting liters to milliliters
• 1 liter=1000 milliliters
• To convert liters to milliliters we multiply the number of liters
by 1,000
• Example:
• 8 liters=8×1000=8000 milliliters
Converting milliliters to liters
• 1 milliliter=1/1000 liter
• To convert milliliters to liters we divide the
number of milliliters by 1,000
• Example:
• 45 mL=45/1000=45÷1000=0.045 L
volume
cubic millimetres
cubic centimetres
cubic metres
mm3
cm3
m3
1cm3= 1000mm3
1m3= 1000cm3
1m3= 1000,000
capacity
(volume of
fluids)
millilitre
litre
kilolitre
mL
L
kL
1000ml = 1 L
1000L = 1kL
Quantity Name of unit Symbol Value
Quantity7 Name of unit Symbol Value

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Standard system for weight, length and volume 1

  • 2. Standard System for Weight, Length and Volume (Part. 1) Lecture 5 UNIVESITY OF EDUCATION LAHORE PAKISTAN
  • 3. Metric units of mass • Mass is a measurement of the amount of matter in an object. • Basic unit of mass is gram (g). • Weight and mass are related, but NOT the same. • Weight is the pull of gravity on an object • The greater the mass, the larger the pull of gravity.
  • 4. • Mass is used to measure the weight of an object. • For example, you are measuring the mass of your body when you step on to a scale. • In the metric system of measurement, the most common units of mass are the • gram (g) and kilogram (Kg).
  • 5. mass milligram gram kilogram tonne mg g kg t 1000mg = 1g 1000g = 1kg 1000kg = 1t Quantity Name of unit Sym bol Value
  • 6. Converting kilograms to grams • Let's convert 2.8 kg to grams. 1kg = 1000g 2.8kg = 2.8 × 1000 = 2800g • kilogram is the larger unit than the gram, so to convert larger unit to a smaller unit, we multiply by the factor. 1kg = 1000g, we multiply by 1000.
  • 7. Converting grams to milligrams • Let's convert 3.5 g to milligrams. 1g = 1000mg 3.5g = 3.5 × 1000 = 3500mg • gram is the larger unit than the milligram, so to convert larger unit to a smaller unit, we multiply by the factor. 1g = 1000mg, we multiply by 1000.
  • 8. Converting milligrams to micrograms • Let's convert 1.5 mg to micrograms. 1 mg = 1000µg 1.5mg = 1.5 × 1000 = 1500µg • milligram is the larger unit than the microgram, so to convert larger unit to a smaller unit, we multiply by the factor. 1mg = 1000µg, we multiply by 1000.
  • 9. Converting micro grams to milligrams • smaller units to larger units you divide (÷) when dividing by 1000 you move the decimal point in 450.0, three places to the left. • 450µg to milligrams 1000 µg = 1mg 450 µg = 450 ÷ 1000 = 0.450mg
  • 10. Converting milligrams to grams • smaller units to larger units you divide (÷). • when dividing by 1000 you move the decimal point in 250.0, three places to the left. • 250 mg to grams 1000 mg = 1g 250 mg = 250 ÷ 1000 = 0.250g
  • 11. Metric units of length • In the metric system of measurement, the most common units of length are millimeters (mm), centimeters (cm), meters (m), and kilometers (Km).
  • 12. How big are metric units of distance? • A paper clip is about 1 millimeter thick. • A fingernail is about 1 centimeter wide. • The length of a guitar is about 1 meter. • A kilometer is equal to 1000meters. •
  • 13. Summary of metric units of distance
  • 14. Converting larger units to smaller units • 1 centimeter (cm)=10 millimeters (mm) • 1 meter (m)=100 centimeters (cm) 1 meter (m)=1,000 millimeters (mm) 1 kilometer (Km)=1,000 meters (m) • To convert larger units to smaller units we multiply the number of larger units by the conversion factor for the appropriate smaller units.
  • 15. Example • Let's convert 11m to centimeters. 1m = 100cm 11m = 11 x 100 = 1100 cm • meter (m) is a larger unit than Centimeter (cm) , so to convert larger unit to a smaller unit we multiply. • 1m = 100cm , we multiply by 100.
  • 16. Example • Let's convert 2Km to meters. 1 Km = 1000 m 2Km = 2 x 1000 = 2000 m • Kilometer (Km) is a larger unit than meter (m) , so to convert larger unit to a smaller unit we multiply. • 1Km = 1000m , we multiply by 1000.
  • 17. Converting smaller units to larger units • 1 millimeter (mm)=1/10 centimeter (cm) • 1 centimeter (cm) =1/100 meter (m) • 1 meter (m)=1/1,000 kilometer (Km) • To convert smaller units to larger units we divide the number of smaller units by the conversion factor for the appropriate larger units.
  • 18. Example • Let's convert 250cm to meters. 100cm = 1m 250cm = 250 ÷ 100 = 2.5m • Centimeter (cm) is the smaller unit than the meter, so to convert smaller unit to a larger unit we divide. 100cm = 1m , we divide by 100.
  • 19. Example • Let's convert 750m to Kilo meters. 1000m = 1Km 750m = 750 ÷ 1000 = 0.750Km • meter (m) is the smaller unit than the Kilo meter, so to convert smaller unit to a larger unit we divide. 1000m = 1Km , we divide by 1000.
  • 20. Metric units of volume • Volume measures capacity. • For example, the volume of a bowl is the amount of space inside the bowl or how much water, for example it would take to fill the bowl. • In the metric system of measurement, the most common units of volume are milliliters (ml) and liters (L).
  • 21. Example • Let's convert 2L to milliliters. 1 L = 1000 ml 2 L = 2 x1000 = 2000 ml • Liter (L) is the larger unit than the milliliter, so to convert larger unit to a smaller unit we multiply. • 1L = 1000 ml , we multiply by 1000.
  • 22. Converting liters to milliliters • 1 liter=1000 milliliters • To convert liters to milliliters we multiply the number of liters by 1,000 • Example: • 8 liters=8×1000=8000 milliliters
  • 23. Converting milliliters to liters • 1 milliliter=1/1000 liter • To convert milliliters to liters we divide the number of milliliters by 1,000 • Example: • 45 mL=45/1000=45÷1000=0.045 L
  • 24. volume cubic millimetres cubic centimetres cubic metres mm3 cm3 m3 1cm3= 1000mm3 1m3= 1000cm3 1m3= 1000,000 capacity (volume of fluids) millilitre litre kilolitre mL L kL 1000ml = 1 L 1000L = 1kL Quantity Name of unit Symbol Value Quantity7 Name of unit Symbol Value