Associative, Commutative, and Distributive Properties of Addition and Multiplication August 18th Students only need to copy the writing in purple. Students should also copy the examples

“I don’t want you associating with that crowd!” "No quiero que la asociación con la multitud!"

Associative Property of Addition and Multiplication The associative property states that the value will not change based on how you group the numbers. (La propiedad asociativa establece que el valor no va a cambiar en función de la forma en que el Grupo de los números.) This means that it does not matter where you put parenthesis. (Esto significa que no importa donde usted pone paréntesis)

Examples

Algebraic example: (a + b) + c = a + (b + c) My own example:

The word “commutative” comes from “commute” or “move around” La palabra "conmutativa" viene de "viaje" o "moverse"

Commutative Property of Addition and Multiplication The value does not change in addition and multiplication when the order of the numbers is changed. (El valor no cambia cuando se cambia el orden de los números.) You can rearrange the problem without effecting the value. (Puede reorganizar el problema sin afectar el valor.)

Examples Algebraic example: a + b= b + a a * b= b * a My own example:

Terms, Coefficients, and Factors Terms are separated by “+” and “-” Factors are multiplied together Coefficients are constant factors that multiply a variable or powers of a variable ex) -3 is the coefficient of -3x and 2 is the coefficient of

Los términos, coeficientes y factores Los términos se separan por "+" y "-“ Factores que se multiplican entre sí Los coeficientes son factores constantes que multiplican una variable o poderes de una variable ex) -3 es el coeficiente de -3x y 2 es el coeficiente de

Make a list of all of the terms: Identify each of the coefficients: Write down the factors for each term:

“Please distribute one paper to each person.” "Por favor, distribuir un papel a cada persona."

Distributive Property Definition : The distributive property lets you multiply a sum by multiplying each addend separately and then add the products. “Multiplication distributes over addition.” Ex 1) Ex 2)

Propiedad distributiva Definición: La propiedad distributiva le permite multiplicar una suma de multiplicar cada sumando por separado y luego agrega los productos. "La multiplicación distribuye sobre la suma." Ex 1) Ex 2)

Non-Example of Distributive Property 3+(6+5)

What number makes this true? How did you know?

What number makes this true? How did you know?

What number makes this true? How did you know?

Exit Slip: What number makes this true? How did you know? 5(2+1) = __(2) + 5(1)