# Place value: Three-digit numbers

## In a nutshell

There are three place values for three-digit numbers: **hundreds**, **tens** and **ones**. Zeros can also be used as placeholders where necessary.

## Place value

Place value represents how much a digit is worth, depending upon its position in a number. A three-digit number can be separated or partitioned into hundreds, ten and ones. The position of the digit, or the place value, indicates how big the number is.

##### Example 1

*Use place value to partition the number* $357$.

*The number *$357$* consists of *$3$* hundreds, *$5$* tens and *$7$* ones. This can therefore be written as*

$\underline{357 = 300 + 50+7}$

##### Example 2

*Use place value to partition the number* $408$.

*The number $408$ consists of $4$ hundreds and $8$ ones. This can therefore be written as*

$\underline{408 = 400+8}$

**Note****: ***The zero in the 'tens column' is called a placeholder, as there are no tens for the number. *

## Place value model

A number can be represented using a place value model. A place value model shows the number in the form of counters to represent the different place values.

**Example**

*Partition** the number $316$ using a place value model.*

*The number $316$ consists of $3$ hundreds, $1$ ten and $6$ ones. This can be shown as:*