Basic Mathematics for College Students

8. Write each number in standard notation.
   a. one million
   b. one billion
   c. one trillion

GUIDED PRACTICE

Multiply.See Example 1.

9. 
   
   
   
   10. 
       
   
   
   
   


10. 
    
    
    
    12. Multiply.See Example 2.
    
    
    
    


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    14. 
        
    
    
    
    


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    16. 
        
    
    
    
    

Multiply.See Example 3.

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    18. 
        
    
    
    
    


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    20. 
        
    
    
    
    

Multiply.See Example 4.

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    22. 
        
    
    
    
    


22. 
    
    
    
    24. Multiply.See Example 5.
    
    
    
    


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    26. 
        
    
    
    
    


24. 
    
    
    
    28. Write each number in standard notation.See Example 6.
    
    
    
    


25. 14.2 million 30. 33.9 million


26. 98.2 billion 32. 80.4 billion


27. 1.421 trillion 34. 3.056 trillion


28. 657.1 billion 36. 422.7 billion
    Multiply.See Example 7.


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    38. 
        
    
    
    
    


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    40. 
        
    
    
    
    


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    42. 
        
    
    
    
    


32. 
    
    
    
    44. 
        
    
    
    
    

Evaluate each expression.See Example 8.

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    46. 
        
    
    
    
    


46. 
    
    
    
    48. Evaluate each expression.See Example 9.
    
    
    
    


47. 
    


48. 
    


49. 
    


50. (0.4)^2  60 6.23.5 0

(0.8)^2  70 5.14.8 0

(0.3)^2  60 6.41.7 0

(0.2)^2  40 2.31.5 0

(0.03)^2 (0.06)^2

(3.4)^2 (5.1)^2

678.231(1,000) 491.565(1,000)

(10,000)(44.83) (10,000)(13.19)

3.3(1.6) 4.7(2.2)

1.9(7.2) 5.8(3.9)

1.15(0.001) 2.83(0.001)

647.590.01 317.090.01

0.041(10,000) 0.034(10,000)

6.84 100 2.09 100

527

 3.7

316

 7.4

179(6.3) 225(4.9)

8.7

 0.004

5.8

 0.009

0.003(2.7) 0.002(2.6)

5.6(8.9) 7.2(8.4)

4.86.2 3.59.3

Evaluate each formula.See Example 10.

53. for , , and


54. for , , and


55. for and


56. for and


57. for and


58. for , , and


59. for and


60. for and
    Estimate each product using front-end rounding.
    See Example 11.


61. 
    
    
    
    62. Estimate each product by rounding the factors to the nearest
        tenth.See Example 11.
    
    
    
    


62. 
    
    
    
    64. 
        
    
    
    
    

TRY IT YOURSELF

Perform the indicated operations.

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    66. 
        
    
    
    
    


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    68. 
        
    
    
    
    


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    72. 
        
    
    
    
    


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    74. 
        
    
    
    
    


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    76. 
        
    
    
    
    


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    78. 
        
    
    
    
    


73. 
    
    
    
    80. 
        
    
    
    
    


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    82. 
        
    
    
    
    


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    84. 
        
    
    
    
    

85.

86.

87.

88.

89.

90.

91.

92.

93.

94. 0.01( 0 8.169.9 0 )^2

0.01( 0 2.66.7 0 )^2

0.3(417)(0.5)

0.2(306)(0.4)

(5.1)(4.93.4)^2

(0.50.6)^2 (3.2)

100(0.0897)

1,000(0.02239)

5(4.7199)

7(8.1781)

3.06

 1.82

2.13

 4.05

(0.2)^2 2(7.1) (6.3)(3)(1.2)^2

(4.9)(0.001) (0.001)(7.09)

4.6(23.419.6) 6.9(9.88.9)

(5.6)(2.2) (7.1)(4.1)

0.21,000,000 1,000,0001.9

0.003

 0.09

0.008

 0.09

(8.17.8)(0.30.7)

(0.70.5)(2.43.1)

(1.3)^2 (2.5)^2

0.560.33 0.640.79

17.113.85 18.336.46

46 5.3 37 4.29

Apr^2 p3.14 r4.2

C 2 pr p3.14 r2.5

c23.6

Pabc a12.91b 19

P 2 l 2 w l3.7 w3.6

A0.5bh b7.5 h6.8

Alw l5.3 w7.2

t 10

APPrt P99.95r0.05

t 5

APPrt P85.50r0.08

354 Chapter 4 Decimals