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Identify the value of a digit

A digit’s value is determined by its place in a whole number: each position represents a power of ten, so the same digit can represent ones, tens, hundreds, thousands, or greater units. This understanding includes reading and interpreting digits through the millions place, including zeros as placeholders and expanded notation, and distinguishes a digit’s face value from its place value; decimals, negative numbers, and unrestrictedly large numbers are not included.

Detailed Explanation: 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 77 in (4,507,203)(4,507,203)?

  1. Find the digit 77:
4,507,203 4,\boxed{5}0\boxed{7},203
  1. Identify its place. From right to left:
millionshundred-thousandsten-thousandsthousandshundredstensones4507203 \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 77 is in the thousands place.

  1. A 77 in the thousands place means:
7×1,000=7,000 7 \times 1{,}000=7{,}000

So, the value of the digit 77 is:

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

The digit 77 itself is its face value, but its place value in this number is (7,000)(7{,}000). The zeros hold places so the other digits stay in the correct positions.

Learn by doing: Identify the value of a digit

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    Place Value - Value In Number

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