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Properties of Real Numbers

Properties of Real Numbers. ALGEBRA 1 LESSON 1-8. (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.

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Properties of Real Numbers

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  1. Properties of Real Numbers ALGEBRA 1 LESSON 1-8 (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. 2t – 8 + 3t9. –5m + 2m – 4m 1-8

  2. Properties of Real Numbers ALGEBRA 1 LESSON 1-8 1. 8 + (9 + 2) = 8 + (2 + 9) = (8 + 2) + 9 = 10 + 9 = 19 2. 3 • (–2 • 5) = 3 • (–10) = –30 3. 7 + 16 + 3 = 7 + 3 + 16 = 10 + 16 = 26 4. –4(7)(–5) = –4(–5)(7) = 20(7) = 140 5. –6 + 9 + (–4) = –6 + (–4) + 9 = –10 + 9 = –1 6. 0.25 • 3 • 4 = 0.25 • 4 • 3 = 1 • 3 = 3 7. 3 + x – 2 = 3 + (–2) + x = 1 + x 8. 2t – 8 + 3t = 2t + 3t – 8 = (2 + 3)t – 8 = 5t – 8 9. –5m + 2m – 4m = (–5 + 2 – 4)m = –7m Solutions 1-8

  3. Properties of Real Numbers ALGEBRA 1 LESSON 1-8 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

  4. Properties of Real Numbers ALGEBRA 1 LESSON 1-8 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 + 21.95Commutative Property of Addition = (14.85 + 25.15) + 21.95 Associative Property of Addition = 40.00 + 21.95 Add within parentheses first. “OoO” = 61.95 Simplify. The total amount spent was $61.95. 1-8

  5. Properties of Real Numbers ALGEBRA 1 LESSON 1-8 Name the property that each equation illustrates. 1. 1m = m2. (– 3 + 4) + 5 = – 3 + (4 + 5) 3. –14 • 0 = 0 4. Give a reason to justify each step. Iden. Prop. Of Mult. Assoc. Prop. Of Add. Mult. Prop. Of Zero Definition of Subtraction a. 3x – 2x – 10 = 3x + (– 2x) + (– 10) a. [3 + (– 2)]x + (– 10) b. 1x + (– 10) Addition c. 1x – 10 Definition of Subtraction Identity Property of Multiplication d. x – 10 1-8

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