Take out a half sheet.

• How many Liters are in 1 kiloLiter?

• How many centiMeters are in 1 Meter?

• How many deciLiters are in 1 L?

Exchange Lab papers with your neighbor

• Did they Label, Show Explain?

• Is their math correct?

• Do you understnd their explanation?

If there are 6 pickles on Every Cheeseburger how many

pickles are there on 4.0 million cheese burgers?

• What relationships do we know from this Problem?

Relationships are used to solve problems such as these

Ex: 6pickles/1 burger this can also be written as 1 burger/6 pickles

4 million cheeseburgers 6 pickeles

1 Cheeseburger

–Set up the problem with what you have

–End the problem what you want

–Cancel items when they are in both the numerator and denominator

–Multiply when numbers are in the numerator and divide when they are in the denominator.

Goody bags are being created for the Eastlake football team. There are 60 bags that need to be made. If each

goody bag will have 3 candy bars are and candy bars cost .$50 a

piece,How much will the cheerleaders spend?

• 60 bags 3 candy bars .50$

1 bag 1 candybar

What relationships do I know?What do I start with what do I want to end with?

Try to set up the problem so units on the top and bottom cancel

relationships with measurements relationships with measurements are called Conversion Factorsare called Conversion Factors

Fractions in which the numerator and Fractions in which the numerator and denominator are EQUAL quantities expressed denominator are EQUAL quantities expressed in different unitsin different units

Example: 1 in. = 2.54 cm

Factors: 1 in. and 2.54 cm 2.54 cm 1 in.

How many minutes are in 2.5 hours?

Conversion factor

2.5 hr x 2.5 hr x 60 min 60 min = 150 min = 150 min

1 hr1 hr

cancel

We start with hours, use the conversion factor relating We start with hours, use the conversion factor relating hours/min, multiply numbers on top, divide numbers hours/min, multiply numbers on top, divide numbers

on the bottom and check for sig figs.on the bottom and check for sig figs.

Learning Check

Write conversion factors that relate each of Write conversion factors that relate each of the following pairs of units:the following pairs of units:

1. Liters and mL1. Liters and mL

2. Hours and minutes2. Hours and minutes

3. Meters and kilometers3. Meters and kilometers

Learning Check A rattlesnake is 2.44 m long. How A rattlesnake is 2.44 m long. How long is the snake in cm?long is the snake in cm?

Set up problem then answer.Set up problem then answer.

a) a) 2440 cm2440 cm

b)b) 244 cm244 cm

c)c) 24.4 cm24.4 cm

Learning Check

How many seconds are in 1.4 days?

Problems Dealing with Two Problems Dealing with Two Units Units

If your pace on a treadmill is 65 meters If your pace on a treadmill is 65 meters per minute, how many seconds will it per minute, how many seconds will it take for you to walk a distance of 8450 take for you to walk a distance of 8450 feet?feet?

What about Square and Cubic What about Square and Cubic units? units?

• Use the conversion factors you already Use the conversion factors you already know, but when you square or cube the know, but when you square or cube the unit, don’t forget to cube the number unit, don’t forget to cube the number also!also!

• Best way: Square or cube the ENITRE Best way: Square or cube the ENITRE conversion factorconversion factor

• Example: Convert 4.3 cmExample: Convert 4.3 cm33 to mm to mm33

4.3 cm4.3 cm33 10 mm 10 mm 33

1 cm 1 cm ( ) =

4.3 cm4.3 cm33 10 1033 mm mm33

1133 cm cm33

= 4300 mm3

Learning CheckLearning Check

• A Nalgene water A Nalgene water bottle holds 1000 bottle holds 1000 cmcm33 of dihydrogen of dihydrogen monoxide monoxide (DHMO). How (DHMO). How many cubic many cubic decimeters is decimeters is that?that?

SolutionSolution

1000 cm1000 cm33 1 dm 1 dm 33

10 cm10 cm( ) = 1 dm= 1 dm33

So, a dmSo, a dm33 is the same as a Liter ! is the same as a Liter !

A cmA cm33 is the same as a milliliter. is the same as a milliliter.