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ASSET 2_AnswerKey - Learning Center 1 ASSET 2 Elementary...

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Learning Center-- 1 ASSET 2 Elementary Algebra Review 1) A . Natural or Counting numbers : ... 6 , 5 , 4 , 3 , 2 , 1 B. Integers : ... 3 , 2 , 1 , 0 , 1 , 2 , 3 ... C. Irrational Numbers : 2 , Π D . Whole Numbers : ... 4 , 3 , 2 , 1 , 0 E . Rational Numbers : ... 3 , 2 , 1 , 2 / 1 , 0 , 1 , 2 , 3 ... F. Real numbers: Π , 2 , 3 2 , 0 , 5 11 , 3 ... 2) A. -5 2 = -(5*5) = -(25) = -25 -25 B. (5 x 10 -12 )(7 x 10 10 ) = 35 x 10 -2 = 3.5 x 10 -1 3.5 x 10 -1 The exponent tells how many times 5 is multiplied to itself. Multiply the numbers and add the exponents. The decimal must always be placed after the first number. When the decimal moves the exponent changes. C. (5 x 10 -2 )+(7 x 10 2 ) = .0005 (2+2=4) = .0005x 10 2 + 7 x 10 2 = 7.0005 x 10 2 7 x 10 2 or 700.05 D . ( ) ( ) 2 5 4 3 6 2 i ÷ = ( ) ( ) 2 5 4 9 6 i ÷ = ( ) i 10 5 6 ÷ = i 10 30 = 2 10 30 10 30 i i i i i = = 10 30 i = 10 10 10 30 ÷ ÷ i = 3 i 3 i E. 2(7-4) + 8 =2(3) + 8 =6 + 8 = 14 14 One can only add when the exponents are the same. Convert the lowest exponent to match the highest exponent by moving the decimal over the sum of the two exponents. Follow the order of operations. Because i represents 1 , the denominator must be rationalized. When i is squared it becomes -1. Next reduce the fraction. Follow the order of operations.
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