Compare and Order Numbers Through 10,000
      
      
      
      
        
        
            
              
             
            
        
      
        
            
            
              Contributed by: 
            
            
              
              
                  Diego 
                
               
             
            
            
              
                
                  Learn to compare and order numbers from 1 to 10,000.
                
                
             
          
  
       
        
            
              
                1. 
                Comparing and Ordering Whole Numbers
Sometimes it is not easy to tell one butterfly from another. Sometimes it is difficult to tell
numbers apart, too.
To compare numbers with the same number of digits:
  •    Determine which has the larger first number (the digit furthest left).
For example, 420 is larger than 240 because 4 is larger than 2.
To compare numbers that have a different number of digits:
  • Look at the place values of each number. The number that extends the furthest to
      the left is the larger number.
For example, 240 is larger than 85 because 2 is further to the left than 8 when placed
on a place value chart. The number 2 in 240 has a higher place value.
                                                   Comparing and ordering the populations of
                                                   countries around the world involves working with
                                                   large numbers!
                                                   Ravneet and Azim noted the following numbers
                                                   from their textbook:
                                                            13 395 000   15 058 600    20 100 000
Knowledge and Employability Studio
Mathematics                                                                        Numbers: Whole Numbers:
©Alberta Education, Alberta, Canada (www.LearnAlberta.ca)        Comparing and Ordering Whole Numbers   1/5
              
             
            
            
            
              
                2. 
                A place value chart, like the one below, can help order and compare the numbers
recorded by Ravneet and Azim.
                                                    Place Value
  One        Hundred       Ten          One        Hundred       Ten         One
                                                                                      Hundreds   Tens    Ones
 Billions    Millions     Millions     Millions   Thousands   Thousands   Thousands
                             1            3            3         9           5           0        0       0
                             1            5            0         5           8           6        0       0
                             2            0            1         0           0           0        0       0
2 has a value greater than 1, so                            5 has a value greater than 3, so 15 058 600
20 100 000 has the greatest value.                          has the second greatest value.
                          20 100 000 > 15 058 600 > 13 395 000
                     Practice: Comparing and Ordering Whole Numbers
1. Bill is keeping a log of the books that he reads and the number of pages in each
   book. Here is his list for the month of May:
                            The Macabre Incident — 1205 pages
                            Screaming Danger — 786 pages
                            Fighting Times — 876 pages
                            Terror Below — 1148 pages
                            Mission Achieved — 250 pages
                            Awesome Antics — 184 pages.
    Put these books in order from least to greatest according to the number of pages.
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Mathematics                                                                              Numbers: Whole Numbers:
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                3. 
                2. Melba is pricing used cars. She is interested in the following models:
                        1994 Honda              $2500.00
                        1999 Mazda              $7850.00
                        1998 Datsun             $5025.00
                        2000 Saturn             $8650.00
                        1996 Toyota             $3600.00
    Place the cars in order from highest price to lowest price.
3. Jody’s social studies class is studying economics. Students were asked to form
   groups and invest the same amount of pretend money in a variety of stocks. Jody’s
   group selected 6 different stocks and, by the end of the activity, had earned the
   following amounts of money:
                        Investment 1            $ 7635.00
                        Investment 2            $ 17 672.00
                        Investment 3            $ 92 450.00
                        Investment 4            $ 6892.00
                        Investment 5            $ 89 032.00
                        Investment 6            $ 28 782.00
    Which investment was the best choice during this period of time?
    Which was the poorest choice?
    List the investments in order from the one that made the least amount of money to
    the one that made the greatest amount of money.
Knowledge and Employability Studio
Mathematics                                                                     Numbers: Whole Numbers:
©Alberta Education, Alberta, Canada (www.LearnAlberta.ca)     Comparing and Ordering Whole Numbers   3/5
              
             
            
            
            
              
                4. 
                4. Find a partner to work with. Each of you needs a copy of the charts below.
                                    The Challenge: Race to the finish!
The first person to fill in both charts correctly wins the race. Compare your answers
with your partner. Discuss and correct any errors.
Complete the following chart by filling in the number that belongs in each place value.
                                                            Place    Value
                   Hundred       Ten         One        Hundred        Ten         One
                   Millions     Millions    Millions   Thousands    Thousands   Thousands   Hundreds   Tens   Ones
         2500                                                                      2           5        0      0
       10 300
   1 650 975
     840 000
   3 000 000
210 000 000
       52 000
Place the values in order from LEAST to GREATEST in the chart below. Be sure to
include the example.
 Least                                                                                                 Greatest
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Mathematics                                                                                 Numbers: Whole Numbers:
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                5. 
                5. Place the numbers in order from LEAST to GREATEST.
    a.             2340               3564                  2198          2975          3529
    b.             23 642             23 562                21 728         20 953       32 529
    c.             312 320            431 565               426 190       322 112       398 945
6. Place the numbers in DECREASING ORDER.
    a.             1 435 612             3 100 395            3 099 875       1 299 580          2 355 315
    b.             63 745 324            63 345 743            73 126 843        61 737 843       72 513 853
    c.             3 435 612             5 100 395             5 099 875         3 299 580        4 355 315
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Mathematics                                                                             Numbers: Whole Numbers:
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