Readings for Session 6 – (Continued)  

Expanded Notation

         One way to show the place values of a numeral without writing out the entire table is to use a form of expanded notation.  In the following form of expanded notation, we rewrite a numeral by separating the numeral into its place values and adding those values. This is the same as breaking a set into the union of several disjoint sets.

Example:   456 = 400 + 50 + 6

 

Example:  800,201 = 800,000 + 0 + 0 + 200 + 0 + 1

Example:  130,540 =  100,000 + 30,000 + 0 + 500 + 40 + 0

            Notice that in this form, each addend has at most one non-zero digit.  For positions that have the numeral 0, we keep the 0 in the expanded notation to show that there is no place value for that position. (Large denomination U.S. currency.)

      

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