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Evaluate Each Expression. 1. 2. 3. 4. 5. 6.

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Lesson 2.1 Operations with Numbers

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Identify and use Properties of Real Numbers Evaluate expressions by using the order of operations

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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

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Rational NumbersIrrational Numbers Integer Whole Natural

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1.) 2.) 0 3.) 0.121212… 4.) -2.13796421… 5.) 6.) 4 ⅔ 7.) -18 8.)

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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

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

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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

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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.

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1.) 2.) 3.)

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Lesson 2.1 Pages 90-91 (16-70 EVENS)

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