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Ch. 1 Sec. 3 Measurement
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Scientific Notation Expressing a value as the product of a number between 1 & 10 and a power of 10 Makes very large or small numbers easier 300,000,000 3.0 x 10 8 0.0000765 7.65 x 10 -5 Decimal is placed after first non zero # Spaces counted to give you the exponent 34,000 0.0000657 5.06 x 10 5 8.95 x 10 -3
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Adding and Subtracting Sci Notation Add or subtract the numbers (3 x 10 -4 ) + (6 x 10 -4 ) (3+9) 9 x 10 -4 (8.5 x 10 7 ) – (2.3 x 10 7 ) (8.5 – 2.3) 6.2 x 10 7
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Multiplying & Dividing Sci Notation Multiply numbers Add or Subtract exponents (2 x 10 3 )(4 x 10 2 ) (2x6) & (10 3+2 ) 8 x 10 5 (9 x 10 8 ) / (3 x 10 3 ) (9/3) & (10 8-3 ) 3 x 10 5
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SI Units Units Describe a number Base Units QuantityUnitSymbol LengthMeterM MassKilogramKg TempKelvinK TimeSecondS
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SI Units Derived Units QuantityUnitSymbol AreaSquare meter m2m2 VolumeCubic meterm3m3 DensityKilograms/ cubic meter Kg/m 3 EnergyJoule (kg. m 2 /s 2 ) J
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Metric Prefixes PrefixSymbolMeaningMultiply unit by KilokThousand (10 3 ) 1000 DecidTenth (10 -1 )0.1 CenticHundreth (10 -2 ) 0.01 MillimThousandth (10 -3 ) 0.001
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Conversion Factor Ratio of equivalent measurements 45 m _______ = ______km 3 kg ________ = ______mg
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Precision Gauge of exact measurement Use of significant figures More figures = more exact 5:30 or 5:30.15 Ran the 100 in 12 or 12.12
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Significant Figures: Rules All digits in known measurement 1) Non-zero digits are always significant. 2) Any zeros between two significant digits are significant. 3) A final zero or trailing zeros in the decimal portion ONLY are significant.
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Significant Fig. Practice 1) 3.0800 2) 0.00418 3) 7.09 x 10 5 4) 91,600 5) 0.003005 6) 3.200 7) 250 8) 780,000,000 9) 0.0101 10) 0.00800
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Accuracy Closeness of a measurement to the actual value
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Temperature Fahrenheit o F = 9/5( o C) + 32 Celsius o C = 5/9( o F – 32) Kelvin (base unit) K = o C +273
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