• Dimensional analysis is a problem-solving
method that uses the idea that any number or
expression can be multiplied by one without
changing its value.
– It is used to go from one unit to another.
• A conversion factor, or a fraction that is equal
to one, is used, along with what you’re given,
to determine what the new unit will be.
Conversion Factors Examples
• Equality- 60 seconds = 1 minute
Conversion factors: 60s or 1 min
1 min
60 s
• Equality60 min = 1 hr
Conversion factors: 60min or 1 hr
1 hr
60min
• Any others?
•Calculate the number of minutes in 3.61 hours.
*Note: Use the number given in the question to determine the
number of sig figs in your answer.
•Calculate the number of minutes in 3.61 hours.
*Note: Use the number given in the question to determine the
number of sig figs in your answer.
•Calculate the number of minutes in 3.61 hours.
How many centimeters are in 4.2 inches?
*Note: Use the number given in the question to determine the
number of sig figs in your answer.
How many centimeters are in 4.2 inches?
*Note: Use the number given in the question to determine the
number of sig figs in your answer.
Calculate the number of seconds in two weeks.
Calculate the number of seconds in two weeks.
Calculate the number of seconds in two weeks.
Calculate the number of seconds in two weeks.
Calculate the number of seconds in two weeks.
Convert the density of 0.58 g/mL to lb/gallon.
(1 L = 1.057 qt and 4 qt = 1 gal; 1kg = 2.2 lb)
Convert the density of 0.58 g/mL to lb/gallon.
(1 L = 1.057 qt and 4 qt = 1 gal; 1kg = 2.2 lb)
Convert the density of 0.58 g/mL to lb/gallon.
(1 L = 1.057 qt and 4 qt = 1 gal; 1kg = 2.2 lb)
Convert the density of 0.58 g/mL to lb/gallon.
(1 L = 1.057 qt and 4 qt = 1 gal; 1kg = 2.2 lb)
Convert the density of 0.58 g/mL to lb/gallon.
(1 L = 1.057 qt and 4 qt = 1 gal; 1kg = 2.2 lb)
If a pound of apples costs $0.79,
then 5.3 lbs will cost _________.
Give your answer to TWO decimal
places which is customary with
money.
1849 yards = __________ miles
Hint: 5280 ft = 1 mile
Give your answer to 4 sig figs.
If Boston and New York City are 190
miles apart, then the distance
between the two cities is _______
km.
Hint: 1 km = 0.621 miles
Give your answer to TWO sig figs.
If a pound of apples costs $0.79,
then a shopper with $2.00 will be
able to purchase ________ lbs of
apples.
Give your answer to THREE sig figs.
If a US car advertisement brags that
an SVU gets 26 miles/gallon on the
highway, then the same car would be
described in Europe as getting
___________ km/L.
Hint: 1 L = 1.057 qt; 4 qt = 1 gal; 1 km
= 0.621 miles
Give your answer to TWO sig figs.