Skill: Identify the place of a digit

Explanation and Free Practice Resources

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:

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

Example: What is the place of the digit 77 in (47,306)(47{,}306)?

  1. Start at the right side and label each digit:

47306ten-thousandsthousandshundredstensones \begin{array}{ccccc} 4 & 7 & 3 & 0 & 6\\ \text{ten-thousands} & \text{thousands} & \text{hundreds} & \text{tens} & \text{ones} \end{array}
  1. Find the digit 77.

  2. The 77 is in the thousands place.

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

7×1,000=7,0007 \times 1{,}000=7{,}000

So, in (47,306)(47{,}306), the 77 is in the thousands place and has a value of (7,000)(7{,}000).

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Place Value - Identify in Number


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