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Properties of operations
- 1. CHAPTER 1 CHAPTER 1 1-9 PROPERTIES OF OPERATIONS Properties of Addition and Multiplication PROPERTY ADDITION MULTIPLICATION COMMUTATIVE THE ORDER in which THE ORDER in which PROPERTIES numbers are added does numbers are multiplied does NOT AFFECT the sum NOT AFFECT the product 9 + 15 = 15 + 9 4 x 12 = 12 x 4 ASSOCIATIVE The way in which numbers The way in which numbers PROPERTIES are GROUPED does NOT are GROUPED does NOT AFFECT the sum AFFECT the product 4 + (5 + 6) = (4 + 5) + 6 (3 x 2) x 4 = 3 x (2 x 4) IDENTITY The SUM of any number and The PRODUCT of any number PROPERTIES ZERO is that number and ONE is that number 567 + 0 = 567 422 x 1 = 422 MULTIPLICATION The PRODUCT of any number PROPERTY OF ZERO and ZERO is ZERO 389 x 0 = 0 TIPS COMMUTATIVE(=)Conmutareparentheses are like a BAG TIPS ASSOCIATIVE = Think the = TO CHANGE… TO MOVE IDENTITY = Identical PROPERTY OF ZERO = Equals 0
- 2. ! FULL! FU BE BE C AR E C AR E
- 3. EXAMPLES • Name theproperty or properties shown by each Expression • a. (3 x 4) x 5 = 3 x (4 x 5) • b. 6 + (5 + 4) = 6 + (4 + 5) • c. (5 x 1) x 7 = 5 x 7 • d. 12 x 45 x 23 x 0 = 0 • e. (8 + 29) + 2 = (2 + 8) + 29
- 4. • Find each missing number. Tell what property or properties are shown • 1. 15 + (48 + 5) = 15 + (__ + 48) • 2. (78 + 29) + __ = 78 + 29 • 3. 84 ÷ 12 = 84 ÷ 12 x__ • 4. (26 x__) x 30 = 30 x (26 x 4)