Module 1 Unit 2 Notes by kccervenka

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									                                              November 30, 2012




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                                                                               November 30, 2012




Common Decimal/Fraction Conversions Notes
    The quicker you convert these to memory, the EASIER your life will be :)




1124
2 4 10 5

3235
4 3 10 10

1146
3 10 10 10

7921
                                                                     1
10 10 5 2

813
10 5 5
                                                 November 30, 2012




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Adding Decimals Notes
Steps to ADDING DECIMALS:

     1.     Line up __________________________

     2.     Add zeros if needed

     3.     Add _______________to _____________


   Example 1:                                	
   	
   	
   	
   	
  


            13.8
           + 9.3




   Example 2:                                         	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  

               6.047
             + 13.46




   Example 3:                                             	
  	
  	
  	
  	
  	
  	
  	
  	
  	
               Example 4:   	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  

          Find the sum of 8 and 4.239.                                                                             Evaluate the expression when a = 4.2 and b = 6.27.
                                                                                                                                         a+b




Example 5:     	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  

 A marching band has 6.5 minutes to perform at a football game. Does the band have enough time to play
 “America the Beautiful” and “Yankee Doodle Dandy”?

                                            Title                                                    Minutes
    "76 Trombones"                                                                                    3.12
    "Stars and Stripes Forever"                                                                       3.52
    "Born in the USA"                                                                                 4.65
    "America the Beautiful"                                                                           3.63
    "Yankee Doodle Dandy"                                                                              2.5
    "The Star-Spangled Banner"                                                                         4.5
                                                        November 30, 2012




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 Subtracting Decimals Notes

 Steps for SUBTRACTING decimals:
 1. Line up ___________________

 2.      Add zeros if needed

 3.      Subtract ___________to ____________



Example 1:                                      Example 2:

            1.6                                       89.9 - 46.78
           - 0.8




Example 3:                                      Example 4:
      Find the difference of 9 and 5.28.           Evaluate the expression when a = 4.2 and b = 6.27.
                                                   b - a 10.3 - a + b




Example 5:
During a 3-day storm, 8.91 inches of rain fell in Rensselaer and 4.24 inches fell in Remington.
How much more rain fell in Rensselaer than in Remington?
                                                    November 30, 2012




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Multiplying Decimals Notes
Multiplying Decimals:
~ Do not line up _____________________

~ Count number after (__________________) of decimal                same amount should be in answer


  Example 1: 	
  

       4 x 0.25




  Example 2: 	
  
         1.273 . 0.06




                                                  Example 4: 	
  
Example 3: 	
  
     Find the product of 1.4 and 7.2.
                                                          (2.3 . 0.5) . 4




  Example 5:
  At your part-time job, you earn $7.30 per hour. You work for two and a half hours. How much
  money do you earn?
                                                        November 30, 2012




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November 30, 2012
                                                        November 30, 2012




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                                                                                       November 30, 2012




Dividing Decimals Notes                             Dividing Decimals:
                                                    1.   Move decimal in divisor
Quotient- ____________to division problem           2.   Move decimal in dividend the same amount
                                                    3.   Put decimal in answer
Divisor- number _____________the box                4.   Divide

Dividend- number _____________the box



Example 1:    	
  	
  	
  	
  	
  
                                              Example 2:    	
  	
  	
  	
  	
  

      3       2 0. 1                                 9 ÷ 0.3




Example 3:       	
  	
  	
  	
  	
           Example 4:      	
  	
  	
  	
  	
  

      8 ÷ 1.6                                     Find the quotient of 7.2 and 0.12.




 Example 5:
  You use 0.6 lb of bananas in each smoothie. How many smoothies can you make with 3.12 lb
  of bananas?
                                                        November 30, 2012




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                                                                                     November 30, 2012




Dividing Decimals Notes

Example 1:                                       Example 2:
                                                      Find the quotient of 67.84 and 0.64
    641.7 ÷ 9




  Example 3:

         126
         1.2




Example 4:                                            Example 5:
                                                          After driving 368.5 miles, Julie and her
  Evaluate the expression when x = 8.5 and z = 39.1
                                                          family refilled the tank of their car with
  31.535 ÷ x + z
                                                          13.4 gallons of gasoline. On average, how
                                                          many miles did they drive per gallon of
                                                          gas?
                                                        November 30, 2012




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  Word Problems with Decimals Notes
  ~KEY WORDS~
  **Sum- **Difference-

  **Product- **Quotient-

  **Less- **More-




Example 1:
For your birthday you receive a $25 gift certificate. You want to buy 3 video games for $8.79,
$7.29, and $7.89. Can you buy all 3 games using the gift certificate?




Example 2:
Logan wants to buy a new bike that costs $135.00. He started with $14.83 in his savings account.
Last week, he deposited $15.35 into his account. Today, he deposited $32.40. How much more
money does he need to buy the bike?




  Example 3:
  Bo earns $8.95 per hour plus commission. Last week, he worked 32.5 hours and earned $28.75 in
  commission. How much money did Bo earn last week?




Example 4:
 You have a dog-walking business. Last week you worked 7.5 hours and you earned $41.25. How
 much do you earn per hour?
                                                        November 30, 2012




             Welcome to Class!
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                                              November 30, 2012




            Welcome to Class!

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Module 1 Unit 2 Test--TOMORROW

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                                                       November 30, 2012




                 Helpful Hints:

Adding & Subtracting Decimals-line up decimal

Dividing Decimals-move decimal to the box

Adding & Subtracting Fractions-need a common denominator

Multiplying & Dividing Fractions-change mixed numbers to improper
fractions

PEMDAS

								
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