Identify and use Properties of Real Numbers Evaluate expressions by using the order of operations
Number Sets Natural Numbers - or “Counting Numbers” 1, 2, 3, 4, 5,... Whole Numbers - Natural Numbers together with “zero” 0, 1, 2, 3, 4, 5,... Integers - Whole numbers plus negatives... –4, –3, –2, –1, 0, 1, 2, 3, 4,... Rational Numbers - All numbers of the form, where a and b are integers (but b cannot be zero) Rational numbers include what we usually call fractions Irrational Numbers - Cannot be expressed as a ratio of integers. As decimals they never repeat or terminate Real Numbers - ALL rational and Irrational Numbers
Properties of Addition and Multiplication AdditionMultiplication Closure a + b is real # ab is a real # Commutative a + b = b + a ab = ba Associative (a + b) + c = a + (b + c) (ab)c = a(bc) Identity a + 0 = a 1a = a Inverse a + -a = 0 Distributive Propertya(b+c) = ab + ac
Order of Operations P.E.(M.D.)(A.S.) 1.) Perform operations within the innermost grouping symbols. [()] 2.) Perform operations indicated by exponents (powers). 3.) Perform multiplication and division in order from left to right. 4.) Perform addition and subtraction in order from left to right.