Properties of multiplication

 Lesson 5 

Properties of Multiplication

Objective: To identify the properties of multiplication of natural numbers

Keywords: Commutative, associative, distributive property, neutral element, factors, and product.

Vocabulary

Nº	English	Spanish
1	Add	Agregar/sumar
2	Amount	Cantidad
3	Associative	Asociativa
4	Before	Antes
5	Change	Cambiar
6	Commutative	Conmutativa
7	Distributive	Distributiva
8	Change	Cambiar
9	Equal	Igual
10	Multiply	Multiplicar
11	Product	Producto
12	Review	Revisar
13	Result	Resultado
14	Sum	Suma

Lesson Plan Nº 5 - English version

Lesson Plan Nº5 - Spanish Version

Let’s learn about:

Remember: Multiplication is the process of calculating the total of one number multiplied by another. Example: 4 X 3 = 12 is the same of write 4+4+4=12  Terms of multiplication: factors and product         4 X 3 = 12    -    4 X 3 (factors) = 12 (product)

The properties of multiplication are distributive, commutative, associative, and the neutral element.

Distributive Property

It is the multiplication of a number by a sum which is equal to the sum of the multiplication of this number by each one of the amounts to be added.

Example:

2 x (3 + 5) = 2 x 3 + 2 x 5

2  x   8    =    6   +  10

  16        =      16

 

Commutative Property

In that multiplication, the order of the factors does not change the product.

Let’s look at an example of this property:

  Factors    Factors

  10 X 3 = 3 X 10

    30    =   30  Products.

The result of multiplying 10 X 3 will be equal to multiplying 3 X 10; in that case will be 30.

Associative Property

It is the mode of grouping the factors without change the result of the multiplication.  

Let’s take an example of the associative property of multiplication:

(3 X 2) X 5 = 3 X (2 X 5) First, we solve the operations that are in parentheses.

    6   X 5 = 3 X 10  Then, take the result and multiplying to the other factor.

           30  =   30            Finally, we obtain the same result in both operations.

The neutral element

The Neutral Element Property of Multiplication says that any number multiplied by 1 equals the same number.

Example:

3 x 1 = 3                  5 x 1 = 5                             6 x 1 = 6                                     

101 x 101 = 101                            20 x 1 = 20  

Let's watch the following video!

 Let's practice!

 

Activity n°1 

Write in from of each operation the property they are respresenting.  

Activity n°2

Answer the following questions