ALGEBRA 1 LESSON 1 8 Properties of Real

ALGEBRA 1 LESSON 1 -8 Properties of Real Numbers (For help, go to Lessons 1 -4 and 1 -6. ) Simplify each expression. 1. 8 + (9 + 2) 2. 3 • (– 2 • 5) 3. 7 + 16 + 3 4. – 4(7)(– 5) 5. – 6 + 9 + (– 4) 6. 0. 25 • 3 • 4 7. 3 + x – 2 8. 2 t – 8 + 3 t 9. – 5 m + 2 m – 4 m 1 -8

ALGEBRA 1 LESSON 1 -8 Properties of Real Numbers Name the property each equation illustrates. a. 3 • a = a • 3 Commutative Property of Multiplication, because the order of the factors changes b. p • 0 = 0 Multiplication Property of Zero, because a factor multiplied by zero is zero c. 6 + (– 6) = 0 Inverse Property of Addition, because the sum of a number and its inverse is zero 1 -8

ALGEBRA 1 LESSON 1 -8 Properties of Real Numbers Suppose you buy a shirt for $14. 85, a pair of pants for $21. 95, and a pair of shoes for $25. 15. Find the total amount you spent. 14. 85 + 21. 95 + 25. 15 = 14. 85 + 25. 15 + 21. 95 Commutative Property of Addition = (14. 85 + 25. 15) + 21. 95 Associative Property of Addition = 40. 00 + 21. 95 Add within parentheses first. “Oo. O” = 61. 95 Simplify. The total amount spent was $61. 95. 1 -8

ALGEBRA 1 LESSON 1 -8 Properties of Real Numbers Name the property that each equation illustrates. 1. 1 m = m 2. (– 3 + 4) + 5 = – 3 + (4 + 5) Iden. Prop. Of Mult. 3. – 14 • 0 = 0 Assoc. Prop. Of Add. Mult. Prop. Of Zero 4. Give a reason to justify each step. a. 3 x – 2 x – 10 = 3 x + (– 2 x) + (– 10) Definition of Subtraction a. [3 + (– 2)]x + (– 10) b. 1 x + (– 10) Addition c. 1 x – 10 Definition of Subtraction d. x – 10 Identity Property of Multiplication 1 -8