order of operations supplement to 2.1.2. math in universal! mathematicians like to brag that math is...

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 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

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

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

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

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

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

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.