Order of Operations Supplement to 2.1.2
Math in Universal! Mathematicians like to brag that math is universal and constant Los matemáticos les gusta jactarse de que las matemáticas son universales y constante
However… Different countries were simplifying the same expressions and getting different answers Diferentes países fueron simplificando las mismas expresiones y obtener respuestas diferentes. They needed to create a standard way to simplify mathematical expressions and equations. Tenían que crear una forma estándar para simplificar expresiones y ecuaciones matemáticas .
The Rules Simplify within Grouping Symbols Simplify Exponents ( ), { }, [ ], | | Simplifique dentro de símbolos de agrupación Simplify Exponents Raise to Powers Simplifique Exponentes Complete Multiplication and Division from Left to Right Completa Multiplicación y división de izquierda a derecha Complete Addition and Subtraction from Left to Right Completa La adición y resta de izquierda a derecha
Example For example: 8 + 3 * 4 = 11 * 4 = 44 Or does it equal 8 + 3 * 4 = 11 * 4 = 44 Or does it equal 8 + 3 * 4 = 8 + 12 = 20 Decide which one you think is correct Decida cuál crees que es correcto
Example For example: 7 * 4 - 1 = 28 -1 = 27 Or does it equal 7 * 4 - 1 = 28 -1 = 27 Or does it equal 7 * 4 - 1 = 7 * 3 = 21 Decide which one you think is correct Decida cuál crees que es correcto
Example For example: 16 ÷ 2^3 = 16 ÷ 8 = 2 Or does it equal 16 ÷ 2^3 = 16 ÷ 8 = 2 Or does it equal 16 ÷ 2^3 = 8^3 = 512 Decide which one you think is correct Decida cuál crees que es correcto
Example For example: 8 * 4 ÷ 2 = 32 ÷ 2 = 16 Or does it equal 8 * 4 ÷ 2 = 32 ÷ 2 = 16 Or does it equal 8 *4 ÷ 2 = 8 *2 = 16 Decide which one you think is correct Decida cuál crees que es correcto
What is a helpful way to remember the order? The classic example for remembering the order of operations is Please Excuse My Dear Aunt Sally. Come up with your own way! P E M D A S
Exit Slip NAME: PERIOD: Simplify the following expression using the rules of the Order of Operations: Simplifique la expresión anterior usando las reglas de la Orden de las operaciones.