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Order of Operations
Supplement to 2.1.2
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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
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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 .
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The Rules1. Simplify within Grouping Symbols
( ), { }, [ ], | |Simplifique dentro de símbolos de agrupación
2. Simplify Exponents Raise to PowersSimplifique Exponentes
3. Complete Multiplication and Division from Left to RightCompleta Multiplicación y división de izquierda a derecha
4. Complete Addition and Subtraction from Left to RightCompleta La adición y resta de izquierda a derecha
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Example• For example:
8 + 3 * 4 = 11 * 4 = 44
• Or does it equal
• 8 + 3 * 4 = 8 + 12 = 20
Decide which one you think is correctDecida cuál crees que es correcto
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Example• For example:
7 * 4 - 1 = 28 -1 = 27
• Or does it equal
• 7 * 4 - 1 = 7 * 3 = 21
Decide which one you think is correctDecida cuál crees que es correcto
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Example• For example:
16 ÷ 2^3 = 16 ÷ 8 = 2
• Or does it equal
16 ÷ 2^3 = 8^3 = 512
Decide which one you think is correctDecida cuál crees que es correcto
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Example
• For example:
8 * 4 ÷ 2 = 32 ÷ 2 = 16
• Or does it equal
• 8 *4 ÷ 2 = 8 *2 = 16
Decide which one you think is correctDecida cuál crees que es correcto
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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! PE
M DA S
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Exit SlipNAME:
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.