Basic Mathematics for College Students

188 Chapter 2 The Integers

1. 
   
   
   
   2. 12 3. 4. 5. 48 6. 25 7. 9 8. 9. a. 30 b. 93
      10. 28 11.There was a net loss that week of approximately 50 points.
   
   
   
   

 14  27  18  11

ANSWERS TO SELF CHECKS

WHYThe phrase net gain or lossrefers to what remains after all of the losses and

gains have been combined (added).

SolutionTo nearest ten:

936 rounds to 940 rounds to rounds to

402 rounds to 400 rounds to

To estimate the net gain or loss for the week, we add the rounded numbers.

Add the positives and the

negatives separately.

Do the addition.

The positive result means there was a net gain that week of approximately

410 points in the Dow.

 410

1,340( 930 )

940 ( 80 )( 730 ) 400 ( 120 )

 123  120

 78  80  733  730

VOCABULARY

Fill in the blanks.

1. To evaluate expressions that contain more than one
   operation, we use the of operations rule.


2. Absolute value symbols, parentheses, and brackets
   are types of symbols.


3. In the expression , the
   parentheses are the most grouping symbols and
   the brackets are the most grouping symbols.


4. In situations where an exact answer is not needed, an
   approximation or is a quick way of
   obtaining a rough idea of the size of the actual
   answer.

CONCEPTS

5. List the operations in the order in which they should
   be performed to evaluate each expression.You do not
   have to evaluate the expression.
   a.
   b.
   c.
   d.


6. Consider the expression. In the
   numerator, what operation should be performed
   first? In the denominator, what operation should be
   performed first?

5 5(7)

2 (48)

 2  32

4 2( 7 3)

15  3 ( 5 2)^3

5(2)^2  1

 9 2[ 5 6( 3 1)]

NOTATION

7. Give the name of each grouping symbol: ( ), [ ],@@,
   and —.


8. What operation is indicated?

Complete each solution to evaluate the expression.

9.

10.

11.

12.





3

0  9 (3) 0

9  6



00

3



 9 ()

 9 5[ ]

 9 5[ 4  2 7] 9 5[ 7]



 2 ()

 2 [5()]

2 (5 6 2) 2 (5 )



 8 ()

 8 

 8 5(2)^2  8 5( )

 2  908 ( 2 4) 0

SECTION 2.6 STUDY SET



1 ,3

13

40

 930

410