Unit Conversions
Unit Conversions
Slide: 1
Metric Units of Measurement metres (m) are units used to measure length grams (g) are used to measure mass
Litres (L) are used to measure capacity Slide: 2
Section 7.1
Section 7.1
Conversion Factors We use prefixes in the metric system to indicate conversion factors.
Using metres as an example: Kilometre (km)
1,000 metres
Hectometre (hm) 100 metres Decametre (dam) 10 metres
Base unit: 1 metre
Slide: 3
Decimetre (dm)
1/10 of a metre
Centimetre (cm)
1/100 of a metre
Millimetre (mm)
1/1,000 of a metre
The same conversion factors apply to grams and litres.
Section 7.1
Conversion Factors Converting units within the metric system involves shifting of the decimal point to the right (multiplying by multiples of 10) or to the left (dividing by multiples of 10) by the appropriate number of places. Converting from larger units to smaller units: Converting from centimetres to millimetres
1 centimetre =
Slide: 4
Move the decimal point to the right or multiply by 10.
Section 7.1
Conversion Factors Converting units within the metric system involves shifting of the decimal point to the right (multiplying by multiples of 10) or to the left (dividing by multiples of 10) by the appropriate number of places. Converting from smaller units to larger units: Converting from hectometres to kilometres
1 hectometre =
Slide: 5
Move the decimal point to the left or divide by 10.
Convert 50 kilograms to grams.
50 kilograms =
Slide: 6
Section 7.1
Convert 5 L 30 mL to millilitres.
5 L + 30 mL =
Slide: 7
Section 7.1
Convert 745 cm into metres and then express it in metres and centimetres.
Slide: 8
Section 7.1
Section 7.1
Convert 5,515,000 mg to kilograms and grams. Step 1: Convert 5,515,000 mg to grams.
Step 2: Convert 5,515 g to kilograms and grams.
Slide: 9
US Customary System of Measurement
Length: mile (mi), yard (yd), foot (ft), and inch (in)
1 mile is 5,280 feet 1 yard is 3 feet 1 foot is 12 inches
Slide: 10
1 mi = 5,280 ft 1 yd = 3 ft 1 ft = 12 in
Section 7.1
US Customary System of Measurement
Mass: ton (ton), pound (lb), and ounce (oz)
1 ton is 2,000 pounds 1 pound is 16 ounces
Slide: 11
1 ton = 2,000 pounds 1 lb = 16 oz
Section 7.1
US Customary System of Measurement
Capacity: gallon (gal), quart (qt), pint (pt), cups (c), and fluid ounce (fl oz) 1 gallon is 4 quarts 1 quart is 2 pints 1 pint is 2 cups 1 cup is 8 fluid ounces Slide: 12
1 gal = 4 qt 1 qt = 2 pt 1 pt = 2 c 1 c = 8 fl oz
Section 7.1
Section 7.1
Conversion Table Converting units between the metric and US Customary systems is achieved by using conversion tables.
Length
Slide: 13
US Customary Units
Metric Units
1 mi
1.609 km
1 yd
0.9144 m
1 ft
30.48 cm
1 in
2.54 cm
Conversion Factor (Ratio) Method For a known relationship between two units, we can find two conversion factors to use in converting units.
For example, consider the relationship 1 foot = 30.48 cm.
Slide: 14
Section 7.1
Section 7.1
Convert 99 cm to feet.
Slide: 15
Section 7.1
Convert 400 km to miles.
Slide: 16
Section 7.1
Conversion Table Converting units between the metric and US Customary systems is achieved by using conversion tables.
Mass
Slide: 17
US Customary Units
Metric Units
1 ton
907.2 kg
1 lb
0.454 kg
1 oz
28.35 g
Section 7.1
Convert 500 oz to kilograms.
Slide: 18
Section 7.1
Convert 5,432 kg to tons.
Slide: 19
Section 7.1
Conversion Table Converting units between the metric and US Customary systems is achieved by using conversion tables.
Capacity
Slide: 20
US Customary Units
Metric Units
1 gal
3.785 L
1 qt
0.946 L
1 pt
473.2 mL
1 c
236.6 mL
1 fl oz
29.57 mL
Convert 78 c to litres.
Slide: 21
Section 7.1
Section 7.1
Convert 896 mL to pints.
Slide: 22
Slide: 1
Metric Units of Measurement metres (m) are units used to measure length grams (g) are used to measure mass
Litres (L) are used to measure capacity Slide: 2
Section 7.1
Section 7.1
Conversion Factors We use prefixes in the metric system to indicate conversion factors.
Using metres as an example: Kilometre (km)
1,000 metres
Hectometre (hm) 100 metres Decametre (dam) 10 metres
Base unit: 1 metre
Slide: 3
Decimetre (dm)
1/10 of a metre
Centimetre (cm)
1/100 of a metre
Millimetre (mm)
1/1,000 of a metre
The same conversion factors apply to grams and litres.
Section 7.1
Conversion Factors Converting units within the metric system involves shifting of the decimal point to the right (multiplying by multiples of 10) or to the left (dividing by multiples of 10) by the appropriate number of places. Converting from larger units to smaller units: Converting from centimetres to millimetres
1 centimetre =
Slide: 4
Move the decimal point to the right or multiply by 10.
Section 7.1
Conversion Factors Converting units within the metric system involves shifting of the decimal point to the right (multiplying by multiples of 10) or to the left (dividing by multiples of 10) by the appropriate number of places. Converting from smaller units to larger units: Converting from hectometres to kilometres
1 hectometre =
Slide: 5
Move the decimal point to the left or divide by 10.
Convert 50 kilograms to grams.
50 kilograms =
Slide: 6
Section 7.1
Convert 5 L 30 mL to millilitres.
5 L + 30 mL =
Slide: 7
Section 7.1
Convert 745 cm into metres and then express it in metres and centimetres.
Slide: 8
Section 7.1
Section 7.1
Convert 5,515,000 mg to kilograms and grams. Step 1: Convert 5,515,000 mg to grams.
Step 2: Convert 5,515 g to kilograms and grams.
Slide: 9
US Customary System of Measurement
Length: mile (mi), yard (yd), foot (ft), and inch (in)
1 mile is 5,280 feet 1 yard is 3 feet 1 foot is 12 inches
Slide: 10
1 mi = 5,280 ft 1 yd = 3 ft 1 ft = 12 in
Section 7.1
US Customary System of Measurement
Mass: ton (ton), pound (lb), and ounce (oz)
1 ton is 2,000 pounds 1 pound is 16 ounces
Slide: 11
1 ton = 2,000 pounds 1 lb = 16 oz
Section 7.1
US Customary System of Measurement
Capacity: gallon (gal), quart (qt), pint (pt), cups (c), and fluid ounce (fl oz) 1 gallon is 4 quarts 1 quart is 2 pints 1 pint is 2 cups 1 cup is 8 fluid ounces Slide: 12
1 gal = 4 qt 1 qt = 2 pt 1 pt = 2 c 1 c = 8 fl oz
Section 7.1
Section 7.1
Conversion Table Converting units between the metric and US Customary systems is achieved by using conversion tables.
Length
Slide: 13
US Customary Units
Metric Units
1 mi
1.609 km
1 yd
0.9144 m
1 ft
30.48 cm
1 in
2.54 cm
Conversion Factor (Ratio) Method For a known relationship between two units, we can find two conversion factors to use in converting units.
For example, consider the relationship 1 foot = 30.48 cm.
Slide: 14
Section 7.1
Section 7.1
Convert 99 cm to feet.
Slide: 15
Section 7.1
Convert 400 km to miles.
Slide: 16
Section 7.1
Conversion Table Converting units between the metric and US Customary systems is achieved by using conversion tables.
Mass
Slide: 17
US Customary Units
Metric Units
1 ton
907.2 kg
1 lb
0.454 kg
1 oz
28.35 g
Section 7.1
Convert 500 oz to kilograms.
Slide: 18
Section 7.1
Convert 5,432 kg to tons.
Slide: 19
Section 7.1
Conversion Table Converting units between the metric and US Customary systems is achieved by using conversion tables.
Capacity
Slide: 20
US Customary Units
Metric Units
1 gal
3.785 L
1 qt
0.946 L
1 pt
473.2 mL
1 c
236.6 mL
1 fl oz
29.57 mL
Convert 78 c to litres.
Slide: 21
Section 7.1
Section 7.1
Convert 896 mL to pints.
Slide: 22
