A whole number can be decomposed into the sum of the values represented by its digits in each place—for example, 52,406 = 50,000 + 2,000 + 400 + 6. This representation makes the base-ten structure and the role of zero as a placeholder explicit, supporting accurate comparison, computation, and later work with larger numbers; the scope is limited to whole numbers through 100,000, not decimal or more generalized expanded notation.
To write a whole number in expanded form, break it apart by place value. Write the value of each digit, then add the values together.
Example: Write in expanded form.
Identify the value of each digit:
Add the place values:
Since adding does not change the number, the expanded form is usually written as:
The is a placeholder showing that there are no hundreds.
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