1 Math Properties Day 1

2 What Are You Learning? I CAN identify properites. I CAN identify properites.

3 Why Do You Need To Know This? Properties are used to solve a variety of problems. Properties are used to solve a variety of problems. Understanding and knowing the properties makes it easier to solve problems. Understanding and knowing the properties makes it easier to solve problems.

4 Vocabulary Equivalent expressions— expressions that have the same value Properties—Statement that is true for any # or variable

5 Vocabulary Distributive Property—To multiply a sum by a number, multiply each addend of the sum by the number outside the parentheses. Ex: 3(4 + 6) = 3(4) + 3(6)

6 Vocabulary Commutative Property—The order in which two numbers are added or multiplied does not change their sum or product. Ex:5 + 4 = x 7 = 7 x 9

7 Vocabulary Associative Property—The way in which three numbers are grouped when they are added or multiplied does not change their sum or product. Ex:(2 x 3) x 7 = 2 x (3 x 7) (6 + 4) +8 = 6 + (4 + 8)

8 Vocabulary Identity Property—The sum of an addend and zero is the addend. The product of a factor and one is the factor. Additive Identity—Identity is zero. Multiplicative Identity—Identity is one. Ex:5 x 1 = = 9

9 Name the property shown by each statement. a. 6 + (2 + 7) = (6 + 2) + 7 b. 15 x 10 = 10 x 15 c. 4 x 1 = 4 d. 4(6 + 8) = 4(6) + 4(8) e. 1 x (3 x 4) = (1 x 3) x 4 f. 7 = 1 x 7 g = h. 4(a + 5) = 4(a) + 4(5) i = 7 j. (11 x 4) x 8 = 11 x (4 x 8)

10 Name the property shown by each statement. m + n = n + m associative 2. commutative 3. identity 4. distributive

11 Name the property shown by each statement = associative 2. commutative 3. identity 4. distributive

12 How to use the Distributive Property to write an expression as an equivalent expression… Example: 3(7 + 4) Example: 3(7 + 4) Step 1: Multiply the number outside the parenthesis to each number inside the parenthesis. 3 ∙ ∙ This is your equivalent expression, now evaluate. Step 2: Add the two products = 33

13 Use the distribute property to write an equivalent expression then evaluate. (3 + 8)4 (3 + 8)4 (11 + 3)8 (11 + 3)8 7(8-6) 7(8-6)

14 Use the distributive property to write 2(5 + 3) as an equivalent expression then evaluate (8); (5) + 2(3); (5) + 3; (5 + 3)2; 16

15 Class Work