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Worksheet5 ____________________________________________________________________ 5-6Scientific Notation A number in scientific notation consists of two terms: Which numbers are in scientific notation? 5.6x103 12x105 0.5x10-2 5.2x100 ____________________________________________________________________ 1 Change a number from scientific to ordinary notation 4.5x103= 8x10-2= 7.02x105= ____________________________________________________________________ 2 Change a number from ordinary to scientific notation Insert a caret Determine the number of decimal places to the right or left 45,000= 0.0026= 32,250,000= 0.0007= 4.0= 32.5= ____________________________________________________________________ 3 Multiply and Divide numbers in scientific notation (4.2x102)(5.07x103)= (1.05x10-3)(2.5x10-4)= (9.2x10-4)(5.025x10-1)= (2.5x105)÷(5x104)= ____________________________________________________________________ 4 Raise a number in scientific notation to power using (nx10 a)b= nbx10ab (5x103)2= (6x10-2)3= (2.5x10-4)-2= (1.2x106)-3= ____________________________________________________________________ 5 Engineering Notation Engineering notation includes two factors: The first factor is a number greater than 1 and less than 1,000 The second factor is a power-of-10 factor whose power is a multiple of three o 2,800,000= 0.52= 0.071= 0.0071= 1 7-1 Variable Notation 1 Identify equations, terms, factors, constants, variables, coefficients Equation Term (monomial) Polynomial Factors Constant Coefficient Variable Identify the terms, variables, first-term coefficients and constants 3( x 2) 6 5x-6x-2 3(x-2) + 5x +7 _________________ ___________________ _____________________ _________________ ___________________ _____________________ x - 5x+35 2 18x + 2x + 3y+ 5 x2 + y3+ 5x-3y -8 _________________ ___________________ _____________________ _________________ ___________________ _____________________ 2 Writing Algebraic Statements: the number is x Twice the number ______ One third of the number ______ The number raised to a power of 3 ______ Two more than the number ______ 5 more than twice the number ______ A cubic root of the number ______ __________________________________________________________________________ 3 Like Terms Like terms have the same variable. We add/subtract like terms by adding/subtracting their coefficients 3x+ 5x-7x= 5y2-7y2+3x2-5x2= 3z(5+ 7z) + 4z2= 2