Dimensional Analysis Organized method of problem-solving Used in chemistry, physics, engineering, and medicine Communicates the path to scientists that follow your work Records your own path for your future use

Calculate the number of minutes in 3.61 hours. Dimensional Analysis Calculate the number of minutes in 3.61 hours. Write the given and draw the chart.

Think of a relationship: 1 hr = 60 min Cancel units diagonally. Dimensional Analysis Calculate the number of minutes in 3.61 hours. Think of a relationship: 1 hr = 60 min Cancel units diagonally.

How many centimeters are in 4.2 inches? Dimensional Analysis How many centimeters are in 4.2 inches? Write the given and draw the chart.

Think of a relationship: 1 in = 2.54 cm Cancel units diagonally. Dimensional Analysis How many centimeters are in 4.2 inches? Think of a relationship: 1 in = 2.54 cm Cancel units diagonally.

Realize that we don’t know just one step from weeks to seconds. Dimensional Analysis Find the number of seconds in two weeks. Start as usual. Realize that we don’t know just one step from weeks to seconds.

Think of a relationship: 1 wk = 7 days Cancel units diagonally. Dimensional Analysis Find the number of seconds in two weeks. Think of a relationship: 1 wk = 7 days Cancel units diagonally.

Dimensional Analysis Extend your table. Find the number of seconds in two weeks. Extend your table.

Think of a relationship: 1 wk = 7 days Cancel units diagonally. Dimensional Analysis Find the number of seconds in two weeks. Think of a relationship: 1 wk = 7 days Cancel units diagonally.

Add as many conversions as needed. Cancel units diagonally. Dimensional Analysis Find the number of seconds in two weeks. Add as many conversions as needed. Cancel units diagonally.

Notice the use of the bottom space. Dimensional Analysis 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) Notice the use of the bottom space.

Ignore the bottom unit for a moment. Dimensional Analysis 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) Ignore the bottom unit for a moment. Concentrate on converting the top unit.

Continue converting the top. Stop when you get to lb…the goal. Dimensional Analysis 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) Continue converting the top. Stop when you get to lb…the goal.

Now, focus on the bottom units. Dimensional Analysis 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) Now, focus on the bottom units. It is OK to cancel units from a distance.

Continue until you reach the goal. Dimensional Analysis 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) ≈ 5 lb/gal Continue until you reach the goal.

1. 1849 yards = __________ miles F Fill-In iRespond Question Mini-Quiz 1. 1849 yards = __________ miles Hint: 5280 ft = 1 mile and 1 yard = 3 feet A.) 1.051;; B.) C.) D.) E.)

F Fill-In iRespond Question 2. If Boston and New York City are 190 miles apart, then the distance between the two cities is _______ km. Hint: 1 km = 0.62 miles A.) 310;; B.) C.) *give your answer accurate to 1 decimal place. D.) E.)

F Fill-In iRespond Question 3. If a US car gets 26 miles/gallon on the highway, then the same car would be described in Europe as getting ___________ km/L. Hint: 1 L = 1.06 qt 4 qt = 1 gal 1 km = 0.62 miles A.) 11;; B.) C.) D.) *give your answer accurate to 1 decimal place. E.)