Skill: Identify the value of a digit

A digit’s value depends on its place in the number. Starting at the right, the places are:

• ones
• tens
• hundreds
• thousands
• ten-thousands
• hundred-thousands
• millions

For example:

What is the value of the digit $7$ in $(4,507,203)$?

1. Find the digit $7$:

$$4,\boxed{5}0\boxed{7},203$$

2. Identify its place. From right to left:

$$\begin{array}{c|c|c|c|c|c|c} \text{millions} & \text{hundred-thousands} & \text{ten-thousands} & \text{thousands} & \text{hundreds} & \text{tens} & \text{ones}\\ 4 & 5 & 0 & 7 & 2 & 0 & 3 \end{array}$$

The $7$ is in the thousands place.

3. A $7$ in the thousands place means:

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

So, the value of the digit $7$ is:

$$\boxed{7{,}000}$$

The digit $7$ itself is its face value, but its place value in this number is $(7{,}000)$. The zeros hold places so the other digits stay in the correct positions.