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 Algebra	
  Library	
  
	
  
Chapter 1: Pre-Algebra Concepts
Lesson 2.3: Multiplying Rational Numbers
	
  
	
  
Practice

Find the product. Express the result in simplest form.

             1 1                               3   3              3   5   2
        1.    •                           5.     •          9.      •   •
             2 5                               5 14               2   8 15

             2 2                               3     2            3   4   5
        2.    •                           6.     • (– )     10.     •   •
             3 9                               4     7            4   9   6

             2   5                             5     2            4   5      6
        3.     •                          7.     • (– )     11.     •   • (–    )
             3 12                              8     7            5   8      15

             4   1                               3 2               5   3      8
        4.     •                          8. –    •         12.      •   • (–    )
             5 20                                8 5              12   5      27




       13. Suppose that the expression below represents the product of
           two rational numbers. Place a check mark next to all the
           relevant conclusions.
                                               a c
                                                •
                                               b d
____ a, b, c, and d are integers.

____ The values of b and d cannot equal zero.

____ Either a, b, c or d is a decimal.

                         a   c
____ The value of b •d is an integer.

____ The values of a and c cannot equal zero
	
  




                                                 1	
  
 Algebra	
  Library	
  
	
  
Chapter 1: Pre-Algebra Concepts
Lesson 2.3: Multiplying Rational Numbers
	
  
	
  
	
  

Answer Key

             1
       1.                                         13. ____ a, b, c, and d are
             10
             4                                         integers.
       2.
             27                                        ____ The values of b and d
             5                                         cannot equal zero.
       3.
             18
             1
       4.
             25
             9
       5.
             70
                 3
       6.    –
                 14
             5
       7.
             28
                 3
       8.    –
                 20
             1
       9.
             8
             5
       10.
             18
                 1
       11. –
                 5
                 2
       12. –
                 27




                                          2	
  

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1.2.3

  • 1.  Algebra  Library     Chapter 1: Pre-Algebra Concepts Lesson 2.3: Multiplying Rational Numbers     Practice Find the product. Express the result in simplest form. 1 1 3 3 3 5 2 1. • 5. • 9. • • 2 5 5 14 2 8 15 2 2 3 2 3 4 5 2. • 6. • (– ) 10. • • 3 9 4 7 4 9 6 2 5 5 2 4 5 6 3. • 7. • (– ) 11. • • (– ) 3 12 8 7 5 8 15 4 1 3 2 5 3 8 4. • 8. – • 12. • • (– ) 5 20 8 5 12 5 27 13. Suppose that the expression below represents the product of two rational numbers. Place a check mark next to all the relevant conclusions. a c • b d ____ a, b, c, and d are integers. ____ The values of b and d cannot equal zero. ____ Either a, b, c or d is a decimal. a c ____ The value of b •d is an integer. ____ The values of a and c cannot equal zero   1  
  • 2.  Algebra  Library     Chapter 1: Pre-Algebra Concepts Lesson 2.3: Multiplying Rational Numbers       Answer Key 1 1. 13. ____ a, b, c, and d are 10 4 integers. 2. 27 ____ The values of b and d 5 cannot equal zero. 3. 18 1 4. 25 9 5. 70 3 6. – 14 5 7. 28 3 8. – 20 1 9. 8 5 10. 18 1 11. – 5 2 12. – 27 2