Place Value

Place Value

1)      Number in Numerals

    In a preschool setting, a child cannot understand the arithmetic of whole
    numbers without a basic understanding of the numeral system. Children
    should be exposed to concrete materials such as pop-sticks when learning
    how to count. So, the first activity which I will use with children is to
    make their own bundles of pop-sticks. This draws attention to the
    importance of ten.

2)      Number in words

       After counting children would normally write the numbers followed by words    
       because they feel that numbers are easier to write and learn then words.

3)      Place Value Chart

   The term place value means that the value of each digit depends on its place in the numeral symbol.  

4)      Hundreds tens and ones notation

      I felt that Number Expanders are useful tools because they offer a hands-on
      way of manipulating the symbolic representation (numeral) of a number. They
      make a bridge from physical to symbolic models for number. Opening and
      closing the number expander act as a reminder of the actions with materials
      (but not as a replacement for this). Because they do not physically model
      the size of the number, they can be made with any number of place value
      columns and so can represent very large or small numbers at more advanced
      levels.

Example of Hundreds tens and ones notation

5)      Expanded Notation

   I am giving an example to explain why expanded notation should be taught the
   last. The symbol 2 in the number 2134 stands not for 2 but 2000. In fact,
   2134 means

                            2000 + 100 + 30 + 4

   i.e, two thousand one houndre and thirty-four. As is well-known, the ten
   symbols 0, 1, 2,…, 9 are called digits. the digit “2” in 2134, being in
   the fourth place (position) from the right, stands not for 2 but 2000, i.e.,
   two thousand, as mentioned above.

An example of expanded notation done by a 6 year old boy