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Transcript
Measurements 1. Cannot be just a number. Must have a unit with the quantity. 2. Dimension - Description of what kind of quantity is represented by a measurement a. Three Fundamental or Basic dimensions 1. Length 2. Mass 3. Time The SI System of Measurement International - It can be used to communicate results to anyone throughout the world. The 3 Fundamental units in the SI system are: 1. Meter 2. Kilogram 3. Second Get definitions from the book Scientific Notation Definition Writing numbers using powers of ten such as 3.5 x 104 104 = 10*10*10*10 103 = 10*10*10 102 = 10*10 101 100 10-1 = 1/10 10-2 = 1/(10*10) 10-3 = 1/(10*10*10) = 10,000 = 1,000 = 100 = 10 =1 = 0.1 = 0.01 = 0.001 3,000 = 3x103 0.005 = 5x10-3 45,000 =4.5x104 0.000678 345,000,000 = 3 x 103 = 5 x 10-3 = 4.5 x 104 = 6.78 x 10-4 =3.45 x 108 Proper Notation - There is only 1 number to the left of the decimal in the coefficient Use this drawing to change exponents in Sci. Not. exponent decimal decimal exponent Examples 3.58 x 105 = ? x 103 The exponent goes down by 2 so the decimal moves to the right by 2 places. Answer 358. x 103 4674 x 10-4 = ? x 10-1 The exponent goes up by 3 so the decimal moves to the left by 3 places. Answer 4.674 x 10-1 359.4 x 104 = 3.594 x 10? The decimal moves to the left 2 places so the exponent goes up by 2. Answer 3.594 x 106 0.468 x 10-6 =4.68 x 10? The decimal moves to the right 1 place so the exponent goes down by 1. Answer 4.689 x 10-7 Mathematical Operations with Scientific Notation Addition and Subtraction Rules Multiplication and Division Rules 1. Make exponents the same 1. Multiply or Divide the coefficients 2. Add or Subtract coefficients 2. Add or Subtract the exponents 3. Keep the same exponent 3. Proper Notation 4. Proper Notation Examples 1. 4.5 x 10-3 +3.4 x 10-4 4.5 x 10-3 + 0.34 x 10-3 4.84 x 10-3 105 2. 6.9 x - 4.8 x 104 6.9 x 105 - 0.48 x 105 6.42 x 105 3. 6.9 x 105 4. 5.0 x 104 5. 9.0 x 107 - 4.8 x 107 x 3.0 x 10-6 3.0 x 10-3 6.9 x 105 -480.0 x 105 -473.1 x 105 -4.731 x 107 15.0 x 10-2 1.5 x 10-1 3.0 x 1010 Mathematical Operations with Scientific Notation Addition and Subtraction Rules Multiplication and Division Rules 1. Make exponents the same 1. Multiply or Divide the coefficients 2. Add or Subtract coefficients 2. Add or Subtract the exponents 3. Keep the same exponent 3. Proper Notation 4. Proper Notation Examples 1. 4.5 x 10-3 +3.4 x 10-4 105 2. 6.9 x - 4.8 x 104 3. 6.9 x 105 4. 5.0 x 104 5. 9.0 x 107 - 4.8 x 107 x 3.0 x 10-6 3.0 x 10-3