Basic Mathematics for College Students

(Nandana) #1

  1. The product of an even number of negative integers
    is and the product of an odd number of
    negative integers is.

  2. Find each absolute value.


a. b.


  1. If each of the following expressions were evaluated,
    what would be the signof the result?
    a. b.


NOTATION


  1. For each expression, identify the base and the
    exponent.
    a. b.

  2. Translate to mathematical symbols.


a. negative three times negative two
b. negative five squared
c. the opposite of the square of five

Complete each solution to evaluate the expression.










GUIDED PRACTICE


Multiply.See Example 1.








































Multiply.See Example 2.








































Evaluate each expression.See Examples 3 and 4.





















  1. 8(3)(7)(2) 52. 9(3)(4)(2)


2(4)(6)(8) 3(5)(2)(9)


5(10)(3) 8(7)(2)


6(3)(5) 9(3)(4)


60,000(1,200) 20,000(3,200)


59(33) 61(29)


6(46) 8(48)


3(52) 4(73)


7(1) 5(1)


(8)(7) (9)(3)


 94 1,000  76 1,000


 45  37  42  24


21(6) 39(3)


18(4) 17(8)


9(2) 5(7)


5(3) 4(6)





 (9)


(3)^4 (3)(3)(3)





3(2)(4) (4)


 84 (7)^9


(5)^13 (3)^20


0  30 0120


Evaluate each expression.See Example 5.



























Evaluate each expression.See Example 6.



























Evaluate each expression.See Example 7.


  1. and

  2. and

  3. and

  4. and


TRY IT YOURSELF
Evaluate each expression.
































  1. Find the product of and the opposite of 10.

  2. Find the product of the opposite of 9 and the opposite
    of 8.







  3.  42 200,000 88.  56 10,000


6(4)(2) 3(2)(3)


 6


2(3)(3)(1) 5(2)(3)(1)


(2)10 (3)8


(4)^3 (8)^3


8(0) 0(27)


6(5)(2) 4(2)(2)


(11)^2  112


(12)^2  122


(5)^2  52


(7)^2  72


(1)^8 (1)^10


(5)^4 (7)^4


(2)^5 (3)^5


(3)^3 (6)^3


9(4)(1)(4) 6(3)(6)(1)


1(3)(2)(6) 1(4)(2)(4)


3(9)(3) 5(2)(5)


4(2)(6) 4(6)(3)


2.4 Multiplying Integers 173

























APPLICATIONS


Use signed numbers to solve each problem.


  1. SUBMARINES As part of a training exercise, the
    captain of a submarine ordered it to descend 250 feet,
    level off for 5 minutes, and then repeat the process
    several times. If the sub was on the ocean’s surface at
    the beginning of the exercise, find its depth after the
    8th dive.


(10)(8)(6)(4)(2)


(1)(2)(3)(4)(5)


(1)^6 (1)^5


12(12) 5(5)


 54  24

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