Meaning of Decimal

Meaning of Decimal:

Decimals are the method people use to describe pieces of a whole in multiples of 10.  Things that are broken into 10 pieces are said to be divided in 10ths.  Things that are broken into a hundred pieces are said to be divided in 100ths. If Things that are shredded into a thousand pieces are said to be divided into 1000ths. The following is a list of some of the most typical used decimal breakdowns:

  • 1/10 tenths0.1
  • 1/100 hundredths0.01
  • 1/1000 thousandths0.001
  • 1/10000 10 thousandths0.0001
  • 1/100000 100 thousandths0.00001
  • 1/1000000 millionths0.000001

The following bar is broken into tenths:

           

Here, 1 tenth (0.1) of the bar is highlighted.

           

Here is 2 tenths (0.2) of the bar is highlighted.

           

Here is 3 tenths (0.3) of the bar is highlighted.

           

.... 

Here is 9 tenths (0.9) of the bar is highlighted.

           

Here is 10 tenths of the bar is highlighted; It is whole (1 complete piece) again.

           

Here is a bar broken into 100 pieces.

                                                                                                                       

Here is a bar with 9 hundredths (.09) highlighted.

                                                                                                                       

Here is a bar with 37 hundredths (0.37) highlighted.

                                                                                                                       

Below, we fill a glass with different amounts of lemonade ...   We assume that we could fill the class full (1whole glass), then we describe how much lemonade we actually put in the glass.

     
     
     
     
     
     
     
     
     
     
2 tenths of a glass of lemonade 5 tenths of a glass of lemonade1 tenth of a glass of lemonade 8 tenths of a glass of lemonade10 tenths (1 whole)

 

Check Your Understanding

Given something that is shredded into the following number of pieces, what do you think they are ????

  1. 100 pieces         

  2. 1000 pieces       

  3. 10000 pieces     

  4. 100000 pieces    

  5. 1000000 pieces  

  6. 10 pieces           

  1. Which lizard has just bounced past .6 of the hurdles?
  2. Which of the lizards has not yet passed .1 of the hurdles?
  3. Which of the lizards will shortly pass 0.8 of the hurdles?