AFOQT Study Guide Questions with Correct Answers

AFOQT Study Guide Questions with Correct Answers Types of numbers - Answer-natural: greater than 0 and has no decimal or fraction Whole: natural numbers and 0 Integer: positive/negative numbers and 0 Rational: can be represented as fraction or decimal , must terminate or resolve into repeating pattern Irrational: cannot be represented as a fraction, decimal never ends or resolves into pattern (ex. pi) Real: number that can be represented by a point on a number line. Includes all rational/irrational Imaginary: includes the imaginary unit i = square root of -1. complex: in the form of a + bi where a and b are real numbers Closed number system - Answer-a system is closed under an operation if performing that operation on two elements of the system results in another element of that system Properties of number systems - Answer-adding, subtracting, and multiplying are closed. dividing is not. rational numbers are closed under all operations except division real numbers are closed under all operations complex numbers are closed under all four operations irrational numbers are not closed under any of the operations Commutative property - Answer-holds for a operation if the order doesnt matter Associative property - Answer-the elements of an operation can be regrouped without changing the result Distributive property - Answer-multiplication over addition allows a product of sums to be written as a sum of products: a(b+c)= ab + ac