Order of Operations Using Integers

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Presentation transcript:

Order of Operations Using Integers

“Operators” & “Terms”… 12 • -5 + -3 • -6 Terms Operators

What do we do first???? It Matters!!!! -5 + 7 • 10 = -5 + 7 • 10 2 • 10 20 -5 + 7 • 10 -5 + 70 65 It Matters!!!!

The Order of Operations All of Algebra is Based on… The Order of Operations 1. Parenthesis 2. Exponents 3. Multiplication & Division (left to right) 4. Addition & Subtraction (left to right) 5. Simplify any Fraction

What do we do first???? 5 + 7 • 10 = 5 + 7 • 10 12 • 10 120 5 + 7 • 10 5 + 70 75 5 + 7 • 10 5 + 70 75

The Order of Operations Memorize These 1. Parenthesis 2. Exponents 3. Multiplication & Division (left to right) 4. Addition & Subtraction (left to right) 5. Simplify any Fraction

Example 1 -2 -2 + 6(-8 + 5) -20 42 - 6 10 -2 + 6(-3) 42 - 6 -2 + 6(-3) Holy Mackerel -2 + 6(-3) 42 - 6 -2 -2 + 6(-3) 16 - 6 -2 + -18 16 - 6

Example 2 12 • -5 + -3 • -6 -60 + 18 -42

Evaluating Algebraic Expressions (2a)2 - 3b2 Evaluate when a = -2, b = 4 (2•-2)2 - 3•42 (-4)2 - 3(4)2 16 - 3(16) 16 - 48 16 + (-48) -32

More “Placeholders” x2 - 2y2 + y Evaluate when x=7, y=-3 72 - 2(-3)2 + -3 49 - 2(9) + -3 49 - 18 + -3 31 + -3 28

Variables can “Vary” x2 - 2y2 + y Evaluate when x = -5, y = -2 (-5)2 - 2(-2)2 + -2 25 - 2(4) + -2 25 - 8 + -2 17 + -2 15

2 only has power over the a (not the negative sign) Looks Easy BUT… 2 only has power over the a (not the negative sign) Evaluate when a = -2 -a2

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