Multiplying Three Factors

Multiplying

Three- Factors

​Today we will…

Learn several ways to solve multiplication problems that have three factors.

​Math Vocabulary

in English and Spanish

​Associative Property of Multiplication	​Propiedad asociativa de la multiplicación
​Commutative Property of Multiplication	​Propiedad conmutativa de la multiplicación
​Equal	​Igual
​Factor	​Factor/ Factora
​Product	​Producto
​Times	​Por
​Double	​Duplicar
​How Many?	​Cuantos/Cuantas
​Split	​Dividir
​Tack on	​Tachar

We can only multiply two factors at a time, so first you have to pair two of the factors and find their product.

• Then you have a new problem with only two factors, and you can multiply again.

2 x 2 x 2

4 x 2

A Three -Factor Problem

Solving a Three- Factor Problem

We can only multiply two factors at a time.

• But these factors are all the same, so there is more than one way to find the product.

2 x 3 x 2

Draw

What factors can we multiply first?

3 x 2 x 3

Draw

Let's look at WorkSpace page 4. What are the three ways we can solve

2 x 2 x 4

Draw

Let's solve this problem three- ways.

2 x 3 x 5

Draw

Let's solve this problem three ways.

2 x 3 x 6

Commutative Property of Multiplication

Notice that the factors are the same but in a different order. Also, the products are the same. 8 times 4 equals 4 times 8.

• Changing the order of the factors in a multiplication problem does not change the product. This is called Commutative Property.

4 x 2 x 4

Match

Match the following

• 16 x 10 is called the?

• 16 x 10 = 160.

  160 is called the?

• 8 x 4 = 4 x 8 is called?

• 1 x 1 is called the?

• 2 x 6 = 6 x 2 is called?

factors of a problem

product

Commutative Property of Multiplication

factors of a problem

Commutative Property of Multiplication

• factors of a problem

• product

• Commutative Property of Multiplication

• factors of a problem

• Commutative Property of Multiplication

When we choose two factors to multiply first, we're grouping them together.

• In the first problem, the 2 and the 3 are grouped.

• If you change the grouping in a multiplication problem, you still get the same product. This is called Associative Property of Multiplication.

• To show grouping, we usually use parentheses. They tell which factors to multiply first.

2 x 3 x 4

Associative Property of Multiplication

Associative Property of Multiplication

Please go to page 58 in your WorkSpace book.

-Please write the definitions and examples to the Math vocabulary words.

• We will read the definitions on page 60.

Please complete WorkSpace page 5 independently.

​

Time to wrap up!