Basic Mathematics for College Students

2.6 Order of Operations and Estimation 189

GUIDED PRACTICE

Evaluate each expression.See Example 1.

13. 
    
    
    
    14. 
        
    
    
    
    


14. 
    
    
    
    16. 
        
    
    
    
    

Evaluate each expression.See Example 2.

17. 
    

18. 
    

19. 
    

20. 
    

Evaluate each expression.See Example 3.

21. 
    
    
    
    22. 
        
    
    
    
    


22. 
    
    
    
    24. 
        
    
    
    
    

Evaluate each expression.See Example 4.

25. 
    
    
    
    26. 
        
    
    
    
    


26. 
    
    
    
    28. 
        
    
    
    
    

Evaluate each expression.See Example 5.

29. 
    

30. 
    

31. 
    

32. 
    

Evaluate each expression.See Example 6.

33. 
    

34. 
    

35. 
    

36. 
    

Evaluate each expression.See Example 7.

37. 
    

38. 
    

39. 
    

40. 
    

Evaluate each expression.See Example 8.

41. 
    
    
    
    42. 
        
    
    
    
    


42. 
    
    
    
    44. 
        
    
    
    
    

 36 8(2)

85 (9)^2

 38 11(2)

69 (8)^2

 18 6(2)

52 (7)^2

 24 3(4)

42 (6)^2

c 12 a 25 

40

 4

bd

c 50 a 53 

50

 2

bd

c 1 a 23 

40

 20

bd

c 4 a 33 

22

 11

bd

67 5[ 6 (47)^2 ]

99 4[ 9 (610)^2 ]

84 3[ 7 (58)^2 ]

77 2[ 6 (39)^2 ]

 31 6( 12  5 4)

 23 3( 15  8 4)

 18 3( 10  3 7)

 14 2( 9  6 3)

 102 (10)^2  82 (8)^2

 62 (6)^2  72 (7)^2

60 (3)4 120 (4)3

30 (5)2 50 (2)5

7(8)(3)(6)(2)

8(6)(2)(9)(2)

9(8)(2)(5)(7)

9(7)(6)(2)(4)

5(4)^2 (18) 3(5)^2 (24)

2(3)^2 (8) 6(2)^2 (9)

Evaluate each expression.See Example 9.

45. a. b.


46. a. b.


47. a. b.


48. a. b.

Evaluate each expression.See Example 10.

49. 
    
    
    
    50. 
        
    
    
    
    


50. 
    
    
    
    52. 
        
    
    
    
    

Estimate of the value of each expression by rounding each

number to the nearest ten.See Example 11.

53.

54.

Estimate the value of each expression by rounding each number

to the nearest hundred.See Example 11.

55.

56.

TRY IT YOURSELF

Evaluate each expression.

57. 
    
    
    
    58. 
        
    
    
    
    


58. 
    
    
    
    60. 
        
    
    
    
    


59. 
    
    
    
    62. 
        
    
    
    
    


60. 
    
    
    
    64. 
        
    
    
    
    


61. 
    
    
    
    66. 
        
    
    
    
    


62. 
    
    
    
    68. 
        
    
    
    
    


63. 
    
    
    
    70. 
        
    
    
    
    


64. 
    
    
    
    72. 
        
    
    
    
    


65. 
    
    
    
    74. 
        
    
    
    
    


66. 
    
    
    
    76. 
        
    
    
    
    


67. 
    
    
    
    78. 
        
    
    
    
    


68. 
    
    
    
    80. 
        
    
    
    
    


69. 
    
    
    
    82. 
        
    
    
    
    

83.  50 2(3)^3 (4) 84. (2)^3 (3)(2)(4)

 7 (3)

2  22

 5  5

14  15

1(2^2  2  12 ) ( 7 4)^2 (1)

(75)^2 (14)^252 ( 9 3)

0  4 (6) 0 0  2  6  50

 02  7 (5)^20  08 (2) 50

 16  4 (2)  24  4 (2)

 12 (2)2 60(2) 3

 6  6

 2  2

 6  23

 2 (4)

 5 

24

6

6  8(2)

25

 5

 6  3

(25)(52) 3(2)^24

0  3  4 (5) 0 0  8  5  2  50

32 4(2)(1) 23  33

(3)^2  42  7  4  5

5,684(2,270)3,4042,689

3,887(5,806)4,701

 363 (781) 594 (42)

 379 (13) 287 (671)

17  20  6  40 21  90  3  10

16  60  2  10 15  60  3  10

0 12(5) 0 047 (70) 0

0 15(4) 0 016 (30) 0

0 4(9) 0 0  15  60

0 6(2) 0 0  12  70