Evaluate Each Expression

Lesson 2.1 Operations with Numbers

 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

Rational NumbersIrrational Numbers Integer Whole Natural

 1.)  2.) 0  3.) …  4.) …  5.)  6.) 4 ⅔  7.) -18  8.)

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

 1.) 6 + (-3) = (-3) +6  2.) c = 1 c  3.) (-10)(-7)=(-7)(-10)  4.) 2(4-5) = (4-5)2

 6.) x[(-w) +y] = x(-w) + x(y)  7.) -2 + (x-5) = (-2 +x) -5  8.) (m-n) + [-(m-n)] = 0  9.) -2-½ = 1

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.

 1.)  2.)  3.)

Lesson 2.1 Pages (16-70 EVENS)