Fractions As Decimals

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Fractions As Decimals Powered By Docstoc
					                                        Take
                          Fractions     out
                                        a
                                        Calculator!

Write each improper fraction as a mixed number.
1.) 32          2.) 40            3.) 11
    5                3                 7
Write each mixed number as and improper fraction.
4.) 3 2/5       5.) 9 ¼          6.) 2 1/8
       Correct Homework
• If you did not write your full name, date, and
  period on your paper take off 1 point.
• Take off 1 point for every problem you did
  NOT do.
• If you did the entire assignment and showed
  your work give yourself a 10.
• Take out your red pen to make homework
  corrections.
• If you only did once side of your homework
  you get half credit 5 out of 10.
• Put your score on your paper out of 10.
  For Learning to Happen!



•Take out a calculator.
•Remove all other thoughts from your mind.
•Pay close attention to this lesson.
•Try all of the examples.
•Ignore all other distractions.
      Number Systems
      Repeating Decimal
     Terminating Decimal
Change a Fraction to a Decimal
Change a Decimal to a Fraction
 TAKE OUT A CALCULATOR
REVIEW NUMBER SYSTEMS
Natural Numbers - Natural counting numbers.
      1, 2, 3, 4 …

Whole Numbers - Natural counting numbers and zero.
      0, 1, 2, 3 …

Integers - Whole numbers and their opposites.
   … -3, -2, -1, 0, 1, 2, 3 …

Rational Numbers - Integers, fractions, and decimals.
         2                        2
     Ex:   , -0.8 , 2.39, 14 , -3
         3                        5
            Rational Numbers - Any number that
              2       5      can be written as a
                , 4
              5       7      fraction.
                 7 ,  18       18
       0.007               
               1000              1
Fractions/Decimals               Integers
     7 ,3.04      1    ...  3,2,1, 0, 1, 2, 3...
5.9,          , 1
     8             2
                Negative Integers       Wholes
                 ...  3,2,1          0, 1, 2, 3...
                              Zero         Naturals
                               0           1, 2, 3...
      Venn Diagram
                  Rationals
      6.7                           0.8
                  Integers
  5         11   Wholes
                                   5        3
                              0           2
  9                                          7
                  Naturals
                  1, 2, 3...
Rational Numbers
Rational numbers that can be
written as decimals are
described as either
REPEATING DECIMALS or
TERMINATING DECIMALS.
Terminating Decimal
      Decimal
Is a decimal that stops. The decimal terminates
if you reach a remainder of zero when you
      s 1  0.5
divide.

               2
Repeating Decimal
Is a decimal that shows a pattern of repeating
digits.
               4
                  0.36
              11
     What type of
    decimal is this?
0.6          Terminating
0.46464646   Repeating
0.75         Terminating
0.3842       Terminating
0.3333333    Repeating
            Decimal Place
                   Value “and”
            Decimals are read as
          4 3 1 6
       2 ___ ___ ___ ___ ___ ___
___ , ___




                                                                          Ten Thousandths
                                                            Thousandths
Thousands




                                               Hundredths
                               Ones
                        Tens




                                      Tenths
             Hundreds




  Read as 243 and 16 hundredths
            Decimal Place Value

                  2 3 8
               4 ___ ___ ___ ___
___ , ___ ___ ___




                                                                          Ten Thousandths
                                                            Thousandths
Thousands




                                               Hundredths
                               Ones
                        Tens




                                      Tenths
             Hundreds




   Read as 4 and 238 thousandths
            Decimal Place Value

               9 0 1 3
            2 ___ ___ ___ ___ ___
___ , ___ ___




                                                                          Ten Thousandths
                                                            Thousandths
Thousands




                                               Hundredths
                               Ones
                        Tens




                                      Tenths
             Hundreds




 Read as 29 and 13 thousandths
            Decimal Place Value

                  0 0 0 1
               0 ___ ___ ___ ___
___ , ___ ___ ___




                                                                          Ten Thousandths
                                                            Thousandths
Thousands




                                               Hundredths
                               Ones
                        Tens




                                      Tenths
             Hundreds




   Read as 1 ten thousandths
How do we say this
    decimal?

   0.6   Six Tenths

         It is written as
         the fraction 6/10
How do we say
this decimal?

 0.3   Three Tenths

       It is written as
       the fraction 3/10
How do we say
this decimal?

0.52   Fifty Two Hundredths

       It is written as
       the fraction 52/100
 How do we say
 this decimal?

0.31   Thirty One Hundredths

       It is written as
       the fraction 31/100
 How do we say
 this decimal?

0.410   Four Hundred and
        Thousandths

        It is written as
        the fraction 410/1000
 How do we say
 this decimal?

0.381   Three Hundred and
        Eighty One Thousandths

        It is written as
        the fraction 381/1000
To A Fraction: Read the decimal
using the correct place value. How you
say it determines the fraction.
            2
     0.2 
           10
     Two tenths
Change These Decimals To Fractions
 REDUCE Your Answer If Possible
    DECIMAL       FRACTION
                     50 1
      0.50          100 2
                         

                      8 4
      0.8                
                     10 5
                       3
      0.003         1000
                     79
      0.79          100

      0.3331        3331
                   10, 000
To a Decimal: Divide
the numerator by the
denominator.
Divide the numerator
by the denominator.
          .8
 4             4
       5 40       0.8
 5       40    5
           0
Divide the numerator
by the denominator.
          .75
 3              3
       4 3 00      0.75
 4       28     4
           20
           20
            0
Divide the numerator
by the denominator.
          .33
 1              1
       3 1 00      0.3
 3         9    3
           10
            9
            1
Divide the numerator
by the denominator.
          .6
 3             3
       5 30       0.6
 5       30    5
           0
     Converting Fractions and Decimals
  Fraction                        Decimal
                 0 37 5
    3                             0.375
               8 3.000
    8
means 3  8


  375 125  3
 1000 125 8                      0.375

              Say it correctly!
Complete the table.
      Fraction        Decimal
          4
                       0.8
          5
          3
                       0.03
        100
          7
                       0.35
         20
       6  7
                        6.7
         10
           1           9.125
         9
           8
    Repeating Decimals
  Fraction                    Decimal
     1           0 333...
               3 1.000          0.3
     3
means 1  3                     0.33

Every rational number (fraction) either
terminates or repeats when written as a
decimal.
       Repeating Decimals
Fraction                      Decimal
  5           0 4 54 54 ...
           11 5.00000         0.454
  11

means 5  11
                              0.454

                              0.45
   Repeating Decimals
 Fraction                 Decimal
   5          0 8 33...
            6 5.000        0.83
   6

means 5  6               0.833

                           0.83
   Repeating Decimals
 Fraction                     Decimal
   5           0 41 6 6 ...
            12 5.0000         0.416
  12

means 5  12
 REMEMBER:
To Always Show Your Work
Take out your study guide!!!
#4Decimal
Terminating Decimal
  s
Is a decimal that stops. The decimal terminates
if you reach a remainder of zero when you
divide.        1
                   0.5
              2
 Repeating Decimal
 Is a decimal that shows a pattern of repeating
 digits.
                4
                   0.36
               11
#5
             Decimal Place
                    Value “and”
             Decimals are read as
           4 3 1 6
        2 ___ ___ ___ ___ ___ ___
 ___ , ___




                                                                           Ten Thousandths
                                                             Thousandths
 Thousands




                                                Hundredths
                                Ones
                         Tens




                                       Tenths
              Hundreds




     Read as 243 and 16 hundredths
#6
To A Fraction: Read the decimal
using the correct place value. How you
say it determines the fraction.
             2
      0.2 
            10
      Two tenths
#7
     To a Decimal: Divide the
     numerator by the denominator.
             .75        3
   3      4 3 00           0.75
   4        28          4
means 3  4   20
              20
               0
Name___________
Sept 16, 2009
Period___
           Pg. 68 #1-18 and 27-44 All
Calculator allowed but write all problems down for full credit!

				
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