What Is Expanded Notation?


Quick Answer

Expanded notation is a way of breaking down numbers in order to display the place value of each digit. It is also referred to as expanded form and resembles an addition problem. The normal way of writing numbers is called standard notation.

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What Is Expanded Notation?
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Full Answer

There are two ways to display numbers in expanded form. The first method involves replacing all the numbers that come after a digit with 0 then adding them all together. For example, 5,872 will be written as 5,000 + 800 + 70 + 2. Five is in the thousands position because it is written as 5,000 while 8 is in the hundreds position because it is written as 800. Tens and 1s follow.

In the second method each place value is written as a power of 10. In this case, 5,872 will be written as (5 x 1,000) + (8 x 100) + (7 x 10) + (2 x 1). Exponents can also be used to represent the powers; for example, (5 x 1,000) can be written as (5 x 10^3). Numbers with decimal places can also be written in expanded notation. 192.53 in expanded form is 100 + 90 + 2 + 0.5 + 0.03. The use of expanded notation makes creating, reading and decomposing large numbers easier.

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