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Name ________________________________________ Date __________________ Class __________________ 1.3 MULTIPLYING AND DIVIDING REAL NUMBERS VOCABULARY RECIPROCAL: MULITPLICATIVE INVERSE: FRACTION: FACTOR: MULITPLE: PRODUCT: QUOTIENT: DIVISOR: When multiplying or dividing, when will the product be positive? When multiplying or dividing, when with the product be negative? When is a fraction greater than one? When a division problem undefined? Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. 1-19 Holt McDougal Algebra 1 Name ________________________________________ Date __________________ Class __________________ LESSON 1-3 Practice A Multiplying and Dividing Real Numbers Multiply. 1. 12 • 2 2. 4(5) ________________________ 4. 1 3 • 2 4 ________________________ 5. ________________________ 7. (5.3)(2.7) 3. 5 • 0 1 • 64 8 6. 12(0.5) ________________________ 8. 7 • n for n 9 ________________________ _________________________ ________________________ _________________________ 9. 2x for x 1 _________________________ Divide. 10. 15 3 11. 30 10 ________________________ 13. 2 3 5 5 ________________________ 16. 8 0 ________________________ ________________________ 14. 3 y for y 6 8 ________________________ 17. 4 4 9 9 ________________________ 12. x (12) for x 36 _________________________ 15. 1 3 4 4 _________________________ 18. 0 (2) _________________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. 1-20 Holt McDougal Algebra 1 Name ________________________________________ Date __________________ Class __________________ 19. Mrs. Roberts changes each student’s class average by 2 points for every day of class missed. Gina was absent 5 days. By how much does Mrs. Roberts change Gina’s class average? ________________________________ Evaluate each expression for a 12 and b 6. 20. a • b 21. ________________________ b a 22. ________________________ a b _________________________ Evaluate each expression for c 0 and d 1. 23. cd ________________________ 24. c d 25. ________________________ d c _________________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. 1-21 Holt McDougal Algebra 1 Name ________________________________________ Date __________________ Class __________________ LESSON 1-3 Practice B Multiplying and Dividing Real Numbers Find the value of each expression. 1. 24 8 ________________________ 4.6(20) 3. 96 3 2. 24(5) ________________________ 5. 7p for p 15 ________________________ ________________________ _________________________ 6. t (1.5) for t 6 _________________________ Divide. 7. 8 2 9 3 6 8. 12 25 ________________________ ________________________ 9. 2 1 1 5 4 3 _________________________ Multiply or divide. 10. 0 • 4.75 11. 0 10 ________________________ 12. ________________________ 1 0 3 _________________________ 13.When Brianna’s first CD sold a million copies, her record label gave her a $5000 bonus. She split the money evenly between herself, her agent, her producer, and her stylist. How much money did each person receive? _____________________________ 14. (0.3)(1.8) ________________________ 15. 2 5 5 2 16. 15 (6) ________________________ _________________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. 1-25 Holt McDougal Algebra 1 Name ________________________________________ Date __________________ Class __________________ Evaluate each expression for x 16, y 4, and z 2. 17. y x ________________________ 20. z y ________________________ 23. x z ________________________ 18. x • y 19. xz ________________________ _________________________ 22. y z 21. (y)(z) ________________________ 24. x y _________________________ 25. z x ________________________ _________________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. 1-26 Holt McDougal Algebra 1 Name ________________________________________ Date __________________ Class __________________ Challenge LESSON 1-3 Multiplication and Division Puzzles Goal: Product of –48 For puzzles 1 and 2, draw a path from the Start box to the Finish box, multiplying by each number along the way, to find a product equal to the goal number. Moves must be vertical or horizontal only, and the path cannot cross itself. An example is shown at right. The path is correct because 2 • 1 • 3 • 2 • 1 • 2 • 2 48. 1. Goal: Product of 8 3 2 1 1 3 2 2 Start 4 2 Finish 2. Goal: Product of 120 1 1 2 1 3 2 2 Start 2 1 2 4 1 1 2 1 Finish 5 Start 3 2 Finish For puzzles 3 and 4, draw a path from the Start box to the Finish box, dividing by each number along the way, to find a quotient equal to the goal number. Moves must be vertical or horizontal only, and the path cannot cross itself. 3. 4. Goal: Quotient of 3 Goal: Quotient of 1 4 3 2 36 Start 2 3 24 Start 3 2 3 2 3 1 2 4 2 1 Finish 2 Finish Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. 1-27 Holt McDougal Algebra 1