The Metric SystemThe Metric System

The Universe WithinThe Universe Within

Base Units Base Units

Time (Second, s)Time (Second, s) Length (Meter, m)Length (Meter, m) Mass (gram, g)Mass (gram, g) Temperature Temperature

(Celsius, (Celsius, 0 0 C)C) Amount (Mole, mol)Amount (Mole, mol) Volume (Liter, L)Volume (Liter, L)

The MeterThe Meter

Measures: LengthMeasures: Length Symbol: mSymbol: m

The GramThe Gram

Measures: MassMeasures: Mass Symbol: gSymbol: g

SecondSecond

Measures: TimeMeasures: Time Symbol: sSymbol: s

Time is natures way of keeping Everything from happening at once.

Degrees CelsiusDegrees Celsius

Measures: TemperatureMeasures: Temperature Symbol: Symbol: 0 0 C C

The MoleThe Mole

Measures: AmountMeasures: Amount Symbol: molSymbol: mol

The LiterThe Liter

Measures: VolumeMeasures: Volume Symbol: LSymbol: L

Metric PrefixesMetric Prefixes

Derived UnitsDerived Units

Derived Unit – a Derived Unit – a combination of two or combination of two or more base units.more base units.

Example: m/sExample: m/s Volume: cmVolume: cm33 (l (l X X w w X X h)h) Density = mass Density = mass

(g)/volume (ml or cm(g)/volume (ml or cm33))

DimensionsDimensions

Volume: Two MethodsVolume: Two Methods

1. Regularly shaped object: cm1. Regularly shaped object: cm33 (l (l X X w w X X h)h) Example: 4cm x 4cm x 4cm = 64cmExample: 4cm x 4cm x 4cm = 64cm33

2. Water displacement: Difference volume2. Water displacement: Difference volume

Density CalculationsDensity Calculations

First:  Write the correct formula at the top of your First:  Write the correct formula at the top of your page, and list the knowns and the unknowns.page, and list the knowns and the unknowns. D = M/VD = M/V D = ?D = ?

M= 5.854 gM= 5.854 gV = 7.57 cm3V = 7.57 cm3

Second: Substitute the known values in the problemSecond: Substitute the known values in the problem D = 6.854g/7.57 D = 6.854g/7.57 cm3cm3

Third:  Calculate your answer, including unitThird:  Calculate your answer, including unit D = 0.77331571994 g/cm3D = 0.77331571994 g/cm3

Fourth: RoundFourth: Round D = 0.773 g/cm3     D = 0.773 g/cm3     

Solving For MassSolving For Mass

When solving for mass, we must take the When solving for mass, we must take the original formula, and isolate the unknown like original formula, and isolate the unknown like so:so:

Multiply both sides by vMultiply both sides by v           

The "v's" cancel outThe "v's" cancel out

Isolate for massIsolate for mass m = v x D m = v x D                                             

Solving For VolumeSolving For Volume

When solving for volume, we must take the original When solving for volume, we must take the original formula, and isolate the unknown like so:formula, and isolate the unknown like so:

Original FormulaOriginal Formula

Multiply both sides by volumeMultiply both sides by volume

    Divide both sides by densityDivide both sides by density

Adjusted formulaAdjusted formula

Metric ConversionsMetric Conversions

Write what you are given.Write what you are given. Write x ____Write x ____ Place the unit you are converting from on bottom.Place the unit you are converting from on bottom. Place the unit you are converting to on top.Place the unit you are converting to on top. Determine conversion factor.Determine conversion factor. Complete the calculation.Complete the calculation. Cross out units where possible.Cross out units where possible. Add remaining units to answer.Add remaining units to answer.