Basic Mathematics for College Students

(Nandana) #1














Write each mixed number in decimal form.See Example 3.















Write each fraction as a decimal. Use an overbar in your answer.
See Example 4.



























Write each fraction as a decimal. Use an overbar in your answer.
See Example 5.















Write each fraction in decimal form. Round to the nearest
hundredth.See Example 6.



























Write each fraction in decimal form. Round to the nearest
thousandth.See Example 7.















Graph the given numbers on a number line.See Objective 4.


  1. ,,,


− 5 − 4 − 3 − 2 −10 12 34 5

1 34 0.75 0.6 3.83


17


21


10


27


5


24


5


33





25


12





13


12


34


11


24


13


17


45


22


45


8


9


7


30





16


33





20


33





7


11





5


11


1


66


1


60


1


99


7


90


11


12


7


12


8


9


1


9


32


9


16


12


11


16


5


4


5


3


3


4


1


250


1


500


21


50


19


25


4.5 Fractions and Decimals 383


  1. Sometimes, when finding the decimal equivalent of a
    fraction, the division process ends because a
    remainder of 0 is obtained. We call the resulting
    decimal a decimal.

  2. Sometimes, when we are finding the decimal
    equivalent of a fraction, the division process never
    gives a remainder of 0. We call the resulting decimal a
    decimal.

  3. If the denominator of a fraction in simplified form has
    factors of only 2’s or 5’s, or a combination of both, it
    can be written as a decimal by multiplying it by a
    form of.

  4. a. Round 0.3777... to the nearest hundredth.


b. Round 0.212121... to the nearest thousandth.


  1. a. When evaluating the expression ,
    would it be easier to work in terms of fractions or
    decimals?
    b. What is the first step that should be performed to
    evaluate the expression?


NOTATION



  1. Write each decimal in fraction form.


a. 0.7 b. 0.77


  1. Write each repeating decimal in simplest form using
    an overbar.
    a. 0.888... b. 0.323232...
    c. 0.56333... d. 0.8898989...


GUIDED PRACTICE


Write each fraction as a decimal.See Example 1.








































Write each fraction as a decimal using multiplication by a form
of 1.See Example 2.
















7


40


9


40


13


25


3


5





15


16





17


32


3


32


9


16


15


2


13


5


17


20


11


20


3


8


7


8


1


4


1


2


0.25 1 2.3^252


2
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