Identify the place of a digit

A digit’s place is determined by its position from the right in a base-ten whole number: ones, tens, hundreds, thousands, ten-thousands, or hundred-thousands. The learner distinguishes a digit’s place from its value—for example, in 47,306, the 7 is in the thousands place and represents 7,000—and understands that each position is ten times the value of the position to its right; decimals, negative numbers, and larger numbers are beyond this scope.

Detailed Explanation: Identify the place of a digit

A digit’s place tells where it is located in a whole number. Count from the right:

\text{ones},\ \text{tens},\ \text{hundreds},\ \text{thousands},\ \text{ten-thousands},\ \text{hundred-thousands}

Example: What is the place of the digit $7$ in $(47{,}306)$ ?

Start at the right side and label each digit:

\begin{array}{ccccc} 4 & 7 & 3 & 0 & 6\\ \text{ten-thousands} & \text{thousands} & \text{hundreds} & \text{tens} & \text{ones} \end{array}

Find the digit $7$ .
The $7$ is in the thousands place.

The place is thousands, while the digit’s value is:

7 \times 1{,}000=7{,}000

So, in $(47{,}306)$ , the $7$ is in the thousands place and has a value of $(7{,}000)$ .

Learn by doing: Identify the place of a digit

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Place Value - Identify in Number

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