PPTThe metric system
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Transcript of PPTThe metric system
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.