2. Properties of Multiplication

3. What are Properties? o Just like addition and subtraction, the operation of multiplication has different properties, or rules. o Let’s review!

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

5. Identity Property When you multiply a number by 1, the product will always be that number. When you add a number to zero, the sum will always be that number. The number keeps its own identity—it doesn’t change! 1 x 5 = 5 1 x 7 = 7 1 x 9 = 9 1 x 2 = 2 3 + 0 = 3 5 + 0 = 5

6. Commutative Property The Commutative Property of Multiplication is similar to the Commutative Property of Addition. –I–In addition, if you change the order of the addends the s ss sum remains the same. –I–In m mm multiplication, if you change the order of the f ff factors the p pp product remains the same. 6 x 8 = 48 8 x 6 = 48 5 x 2 = 10 2 x 5 = 10 9 x 7= 63 7 x 9 = 63

7. Associative Property grouping 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!

8. 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.3 x 4 = 12 Then multiply that product by 2. 12 x 2 = 24 You can group the factors differently and get the same product! You can multiply 4 x 2 first. 4 x 2 = 8 Then multiply that product by 3. 8 x 3 = 24