Title: The METRIC SYSTEM
1The METRIC SYSTEM CONVERSIONS
Factor Label/Dimensional Analysis Review
2Conversions between the U.S. Customary System and
the Metric System
- Approximate equivalences between the U.S.
Customary System and the Metric System are needed
for conversion between systems - Dimensional Analysis will be used to compute the
conversion
3Equivalences Copy this Down!
- Units of Weight
- 1 oz 28.35 g
- 1 lb 454 g
- 2.2 lb 1 kg
- Units of Capacity
- 1.06 qt 1 L
- 1 gal 3.79 L
- Units of Length
- 1 in 2.54 cm
- 3.28 ft 1 m
- 1.09 yd 1 m
- 1 mi 1.61 km
4Dimensional Analysis
- Dimensional Analysis (also called Factor-Label
Method or the Unit Factor Method) is a
problem-solving method that uses the fact that
any number or expression can be multiplied by one
without changing its value (Multiplication
Property of 1 the Magic One) - Use the units to dictate the form of the Magic
One
5Ex Convert 130 lbs to kg (round to the nearest
whole number)
- Write the original measurement as a unit fraction
- Multiply the unit fraction by a magic one the
form of which is dictated by the units - the numerator unit is the unit you want
- the denominator unit is the unit you want to
eliminate - Write your answer in the specified form (decimal
number)
6Ex Convert 130 lbs to kg (round to the nearest
whole number)
59 kg
7Ex Convert 60 km to mi (round to the nearest
whole number)
- Write the original measurement as a unit fraction
- Multiply the unit fraction by a magic one the
form of which is dictated by the units - the numerator unit is the unit you want
- the denominator unit is the unit you want to
eliminate - Write your answer in the specified form (decimal
number)
8Ex Convert 60 km to mi (round to the nearest
whole number)
37.2 mi
37 mi
9Ex Convert 5.4 kg to lb (round to the nearest
tenth place)
- Write the original measurement as a unit fraction
- Multiply the unit fraction by a magic one the
form of which is dictated by the units - the numerator unit is the unit you want
- the denominator unit is the unit you want to
eliminate - Write your answer in the specified form (decimal
number)
10Ex Convert 5.4 kg to lb (round to the nearest
tenth place)
11.88 lb
11.9 lb
11Ex Convert 45 cm to in (round to the nearest
tenth place)
- Write the original measurement as a unit fraction
- Multiply the unit fraction by a magic one the
form of which is dictated by the units - the numerator unit is the unit you want
- the denominator unit is the unit you want to
eliminate - Write your answer in the specified form (decimal
number)
12Ex Convert 45 cm to in (round to the nearest
tenth place)
17.71 in
17.7 in
13Ex As a practical joke, on the show Candid
Camera, a gas station listed their price as
1.79/Liter. People gassing up thought they were
getting a great deal, but then were outraged when
their total owed came up. WHY?
- What do you notice about the listed price?
14Listed their price as 1.79/Liter.
15Ex The price of a certain medication is 35 per
Liter. Find the price per fluid ounce.
But now what? There isnt a direct equivalence
from Liters to fluid ounces.
We can use several equivalences stepping down to
fluid ounces
Liters ? Quarts ? Pints ? Cups ? fluid ounces