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Comparing and Ordering
      Decimals
 When Will I Ever Do That???!!!
McDonald’s Menu….
              I’m Lovin It!!
   Double Cheeseburger: $ .99
   Big Mac Value Meal: $ 4.79
   Chicken McNuggetts Meal: $ 3.80
   Small Drink: $ .99
   McFlurry: $ 1.97
   Salad: $ 4.80
   2 Cheeseburger Meal: $ 3.70
   Ice Cream Cone: $ .87
Order Up!
Least Expensive to Most Expensive
   Ice Cream Cone              .87
   Double Cheeseburger:        .99
   Small Soft Drink:           .99
   McFlurry:                  1.97
   2 Cheeseburger Meal:       3.70
   Chicken McNuggetts Meal:   3.80
   Big Mac Value Meal:        4.79
   Chicken Salad:             4.80
What Do I Mean Compare
                Decimals?
   When we compare we use terms such as:
       Less than <
       Greater than >
       Equal to =
   Comparing decimals is similar to comparing
    whole numbers.
       45<47
       150>105
   When we compare decimals we use place value
    or a number line.
Place Value

1,000 100   10   1   0.1   0.01 0.001 0.0001
Half pipe Results       Compare Sara’s score
                           with Danny’s score.
Sara      42.1        2.   Line Up Decimal Points
                              Sara:  42.1
Danny     42.5                Danny: 42.5

                            Start at the left and find the first
Ross      42.0        3.
                            place where the digits differ.
                            Compare the digits
Bethany 40.7                  1<5
                              42.1<42.5
                              This means Sara’s score was
Jacob     46.1                 lower than Danny’s score.
Let’s Try Using A Number Line

Sara      42.1
Danny     42.5
Ross      42.0   42.0 42.1                42.5

Bethany   40.7   Numbers to the right are greater
Jacob     46.1   than numbers to the left. Since
                 42.5 is to the right of 42.1 we
                 have:
                             42.5>42.1
Equivalent Decimals
   Decimals that name the same number are
    called equivalent decimals.
                  0.60 and 0.6



   Are these the same???
0.60   =   0.6
Annexing Zeros
   This means placing a zero to the right of
    the last digit in a decimal.
   0.6        0.60
   Although we added a zero, the value of
    the decimal did not change!!
   Annexing or adding zeros is useful when
    ordering a group of decimals.
Ordering Decimals
   We can order decimals from least to
    greatest or we can order from greatest to
    least.
   Let’s try an example:

   Order 15, 14.95, 15.8, and 15.01 from
    least to greatest
15, 14.95, 15.8, 15.01
   First, line up the decimal points
                      15
                      14.95
                      15.8
                      15.01
15, 14.95, 15.8, 15.01
   Next, annex zeros so that each number
    has the same number of decimal places
                    15.00
                    14.95
                    15.80
                    15.01
15, 14.95, 15.8, 15.01
   Finally, use place value to compare the
    decimals. Always start from the left!!
                     15.00
                     14.95
                     15.80
                     15.01
   14.95, 15, 15.01, 15.8
One More Example
   Order these numbers from greatest to
    least
            35.06, 35.7, 35.5, 35.849

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Comparing and ordering_decimals

  • 1. Comparing and Ordering Decimals When Will I Ever Do That???!!!
  • 2. McDonald’s Menu…. I’m Lovin It!!  Double Cheeseburger: $ .99  Big Mac Value Meal: $ 4.79  Chicken McNuggetts Meal: $ 3.80  Small Drink: $ .99  McFlurry: $ 1.97  Salad: $ 4.80  2 Cheeseburger Meal: $ 3.70  Ice Cream Cone: $ .87
  • 3. Order Up! Least Expensive to Most Expensive  Ice Cream Cone .87  Double Cheeseburger: .99  Small Soft Drink: .99  McFlurry: 1.97  2 Cheeseburger Meal: 3.70  Chicken McNuggetts Meal: 3.80  Big Mac Value Meal: 4.79  Chicken Salad: 4.80
  • 4. What Do I Mean Compare Decimals?  When we compare we use terms such as:  Less than <  Greater than >  Equal to =  Comparing decimals is similar to comparing whole numbers.  45<47  150>105  When we compare decimals we use place value or a number line.
  • 5. Place Value 1,000 100 10 1 0.1 0.01 0.001 0.0001
  • 6. Half pipe Results  Compare Sara’s score with Danny’s score. Sara 42.1 2. Line Up Decimal Points  Sara: 42.1 Danny 42.5  Danny: 42.5 Start at the left and find the first Ross 42.0 3. place where the digits differ. Compare the digits Bethany 40.7  1<5  42.1<42.5  This means Sara’s score was Jacob 46.1 lower than Danny’s score.
  • 7. Let’s Try Using A Number Line Sara 42.1 Danny 42.5 Ross 42.0 42.0 42.1 42.5 Bethany 40.7 Numbers to the right are greater Jacob 46.1 than numbers to the left. Since 42.5 is to the right of 42.1 we have: 42.5>42.1
  • 8. Equivalent Decimals  Decimals that name the same number are called equivalent decimals.  0.60 and 0.6  Are these the same???
  • 9. 0.60 = 0.6
  • 10. Annexing Zeros  This means placing a zero to the right of the last digit in a decimal.  0.6 0.60  Although we added a zero, the value of the decimal did not change!!  Annexing or adding zeros is useful when ordering a group of decimals.
  • 11. Ordering Decimals  We can order decimals from least to greatest or we can order from greatest to least.  Let’s try an example:  Order 15, 14.95, 15.8, and 15.01 from least to greatest
  • 12. 15, 14.95, 15.8, 15.01  First, line up the decimal points 15 14.95 15.8 15.01
  • 13. 15, 14.95, 15.8, 15.01  Next, annex zeros so that each number has the same number of decimal places 15.00 14.95 15.80 15.01
  • 14. 15, 14.95, 15.8, 15.01  Finally, use place value to compare the decimals. Always start from the left!! 15.00 14.95 15.80 15.01  14.95, 15, 15.01, 15.8
  • 15. One More Example  Order these numbers from greatest to least  35.06, 35.7, 35.5, 35.849