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Multiplication Properties (Commutative, Associative & Distributive)

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Multiplication Properties (Commutative, Associative & Distributive)

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What you will learn from this videoWhat you will learn

What multiplication PROPERTIES are.
How the commutative, associative, and distributive properties can make multiplication problems easier.
How this knowledge can help us play basketball, bake treats with friends, and even have remote control car races!

Discussion Questions
- Before Video
  What is a factor? Can you give an example?ANSWER
  - A factor is a number that another number can be divided by. A factor is a number that divides another number. A factor is a number that, when multiplied by another number, makes a certain product.
  What is a product? Can you think of an example?ANSWER
  - When you multiply numbers together, the result is called the product. 20 is the product of 4 and 5.
  What are some factors of 24?ANSWER
  - The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
  Joe works for 7 days earning $20 a day, and Bill works for $7 a day for 20 days. Who ends up with more money?ANSWER
  - 7 × 20 = 140 and 20 × 7 = 140. They end up with the same amount of money.
  There are 3 grade 3 classes, each with 20 students. If each grade 3 student gets 5 cookies, can you write a mathematical expression to represent how many cookies there are in total?ANSWER
  - 3 × 20 × 5. Ask if anyone found any other way to represent the expression.
- After Video
  State the commutative property in your own words. ANSWER
  - When we multiply, the order in which we multiply does not change the product.
  What is the name of the property that says that multiplying two factors is the same as splitting one of the factors into two parts, multiplying both parts by the other factor, and adding the products together?ANSWER
  - The distributive property.
  State the associative property in your own words.ANSWER
  - When we multiply, we can group the factors in any order and the product will be the same.
  We can use the distributive property to write 5 × 23 as (5 × 4) + (5 × 19). Does this make it easier to find the product? Can you think of a better way to split 23?ANSWER
  - No, this expression is not easier. A better way is to split 23 into 20 and 3: (5 × 20) + (5 × 3).
  Put parentheses around the factors that you will multiply first to make it easier to solve: 9 × 8 × 5. Which property allows you to do that?ANSWER
  - 9 × (8 × 5); the associative property.
Vocabulary
- Product DEFINE
- Factor DEFINE
- Parentheses DEFINE
- Commutative DEFINE
- Associative DEFINE
- Distributive DEFINE
Reading Material
Practice Word Problems
Practice Number Problems
Lesson Plan
Teacher Guide
Assessment
Online Quiz Game Quiz PDF Exit Ticket

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