Meaning of a Decimal

 

Meaning of Decimal:

Decimals are the method people use to describe pieces of a whole in multiples of 10.   

Things that are shredded into 10 pieces are said to be shredded into 10ths.

Things that are shredded into a hundred pieces are said to be shredded into 100ths.

Things that are shredded into a thousand pieces are said to be shredded into 1000ths.

 

Shred a bar into 10 pieces.   Paste the bar back together.   Express how many pieces your have pasted back together as you go.

Given this bar, I will tear it along the marks below.

                   

Here is 1 tenth of the bar

1  tenth

                 

Here is 2 tenths of the bar pasted back together

2 tenths

               

Here is 3 tenths of the bar pasted back together

3 tenths

             

.... 

Here is 9 tenths of the bar pasted back together

9 tenths  

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

10 tenths

 

Here is a bar torn into 100 pieces.

                                                                                                                                                                                                       

Here is a bar with 10 pieces pasted back together

10 hundredths

                                                                                                                                                                                   

Here is a bar with 35 pieces pasted back together

35 hundredths

                                                                                                                                 

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 lemonade   1 tenth of a glass of lemonade   8 tenths of a glass of lemonade   10 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.  

  3. 1000 pieces       

  4.  

  5. 10000 pieces     

  6.  

  7. 100000 pieces    

  8.  

  9. 1000000 pieces  

  10.  

  11. 10 pieces           

  12.  

Check Your Understanding

  1. Which lizard has just bounced past .6 of the hurdles?        

  1. Which of the lizards has not yet passed .1 of the hurdles?  

  1. Which of the lizards will shortly pass 0.8 of the hurdles?