Properties of Multiplication What are Properties o Just

Properties of Multiplication

What are Properties? o Just like addition and subtraction, the operation of multiplication has different properties, or rules. o We have learned about some of these properties already! o Let’s review!

Zero Property • When you multiply any number by zero, the product is always… ZERO!!!!! 0 0 = 6 x 0 x 8 =0 0 = 4 0 x 0 x 12 =0 Zeroes clear it out!

Identity Property • When you multiply a number by 1, the product will always be that number. • The number keeps its own identity—it doesn’t change! = 5 5 1 x = 9 9 1 x 7 = 7 1 x 2 = 2 Multiply by 1—it’s always the same!

Commutative Property • The Commutative Property of Multiplication is similar to the Commutative Property of Addition. – In addition, addition if you change the order of the addends the sum remains the same. – In multiplication, multiplication if you change the order of the factors the product remains the same. 48 = 8 x 6 48 = 6 x 8 5 x 2 = 10 2 x 5 = 10 63 = 7 x 9 63 = 9 x 7

Associative Property • The associative property is also known as the grouping property. • It is similar to the associative property of addition. – You can change the grouping of the factors and the product will be the same!! Let’s see what this looks like!

Let’s multiply 3 factors! There are different ways that you can find the product of 3 x 4 x 2 You can multiply 3 x 4 first. Then multiply that product by 2. 3 x 4 = 12 12 x 2 = 24 You can group the factors differently and get the same product! You can multiply 4 x 2 first. Then multiply that product by 3. 4 x 2 = 8 8 x 3 = 24

Let’s try more! 4 x 5 x 1 = 2 x 6 x 2 = 5 x 2 = 3 x 4 =

Properties of Multiplication Zero Identity Example Commutative Associative Example Your Task: Complete the Tree Map with one example that illustrates each property of multiplication. Example