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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?ANSWERA 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.
When you multiply numbers together, the result is called the product. 20 is the product of 4 and 5.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
7 × 20 = 140 and 20 × 7 = 140. They end up with the same amount of money.
3 × 20 × 5. Ask if anyone found any other way to represent the expression.
After Video
State the commutative property in your own words. ANSWERWhen we multiply, the order in which we multiply does not change the product.
The distributive property.
When we multiply, we can group the factors in any order and the product will be the same.
No, this expression is not easier. A better way is to split 23 into 20 and 3: (5 × 20) + (5 × 3).
9 × (8 × 5); the associative property.
- Vocabulary
- Product DEFINE
The result when numbers are multiplied together.
- Factor DEFINE
A number that divides another number.
- Parentheses DEFINE
Symbols ( ) that show us which part of an expression to solve first.
- Commutative DEFINE
The property of multiplication stating that the order in which we multiply factors does not change the product.
- Associative DEFINE
The property of multiplication stating that different ways of grouping factors does not change the product.
- Distributive DEFINE
The property of multiplication stating that multiplying two factors gives the same answer as splitting one of the factors, multiplying both parts by the other factor, and adding the products together.
- Product DEFINE
- Reading Material
- Practice Word Problems
- Practice Number Problems
- Lesson Plan
- Teacher Guide
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Level 1
Without solving, use the commutative property to find another way to write the expression 3 × 4 × 7.
Level 2
Without solving, use parentheses to show two different ways that the factors in the expression can be grouped: 9 × 21 × 18.
Level 3
Connor wants to use the distributive property to solve find 12 × 6. He writes (5 × 2) + (7 × 4). What did he do wrong?
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