AFOQT Study Guide question n answers graded A+ 2023

AFOQT Study GuideNatural Number - correct answer Is a number greater than 0 and has no decimal or fraction attached. Ex: (1,2,3,4,etc...) Whole Number - correct answer Are natural numbers and the number 0 (0,1,2,3,4,etc) Integers - correct answer Includes positive numbers, zero, and negative numbers. Ex: (-1,0,1) Rational Number - correct answer A number that can be written as a fraction with a numerator and a denominator that are integers. The decimal representation of a rational number either ends or repeats. Irrational Number - correct answer a number that can NOT be expressed as a ratio of two integers or as a repeating or terminating decimal - Pi or any square root of an imperfect square are considered irrational Real Number - correct answer All rational and irrational numbers. Any # on the number line. Imaginary Number - correct answer i is the square root of -1 and/or i squared equals -1. Complex number - correct answer a number of the form a+bi where a and b are real numbers and i is the square root of -1 Midpoint formula - correct answer The midpoint is halfway between the two end points. Add both x coordinates then divide by 2. Add both y coordinates then divide by 2. Number Chart - correct answer Factors - correct answer Numbers that are multiplied together to get a product Prime Number - correct answer A whole number that has exactly two factors, 1 and itself. Composite Number - correct answer A number with more than two factors Prime Factorization - correct answer Breaking down a composite number until all of the factors are prime Closed number system - correct 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. Ex: Integers are closed under addition, subtraction, multiplication but not division. Rational Numbers Closed - correct answer They are closed under all operations (except division by 0) Real Numbers Closed and Complex Numbers Closed - correct answer They are closed under all four operations. Irrational Numbers Closed - correct answer Irrational numbers are NOT closed under ANY of the four operations communitive property - correct answer With addition and multiplication, it does not matter what order the numbers are written, you still get the same result. Associative Property - correct answer The way in which numbers are grouped does not change their sum or product Distributive Property - correct answer a property indicating a special way in which multiplication is applied to addition of two or more numbers in which each term inside a set of parentheses can be multiplied by a factor outside the parentheses, such as a(b + c) = ab + ac