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### What is Expanded Notation?

```
Date: 08/22/2001 at 18:20:15
From: Guy Sularz
Subject: Math

My daughter was asked to rewrite each number as expanded notation.
What is expanded notation?

Thank you.
```

```
Date: 08/23/2001 at 08:26:25
From: Doctor Sarah
Subject: Re: Math

Hi Guy - thanks for writing to Dr. Math.

Here's an explanation of expanded notation by Mary Lou, from our
Teacher2Teacher service:

The Hindu Arabic system that is used to write
numbers assigns a place value to a position
in a number. The number 5487.32 consists
of the digits:  2, 3, 4, 5, 7, and 8. However, each
of these digits occupies a different position in
the number. The 2 represents 2/100ths. The 3
represents 3/10ths. The 7 represents 7 units
or 7. The 8 represents 8 tens or 80. The 4
represents 4 hundreds or 400, whereas the 5
represents 5 thousands or 5,000.

To write the number 5487.32 in expanded
notation you would write:

5000 + 400 + 80 + 7 + 3/10 + 2/100.

Try some. Remember that if there is a zero in
the number, such as in 5039, the zero says that
there are zero hundreds or no hundreds. The
expanded notation for 5039 is 5000 + 30 + 9.

You might also want to look at an answer about expanded form and
standard form from our Dr. Math archives:

Expanded and Standard Forms
http://mathforum.org/library/drmath/view/57137.html

- Doctor Sarah, The Math Forum
http://mathforum.org/dr.math/
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