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Identify the place value of a digit

Place value identifies the position a digit occupies in a whole number—from ones through millions—and the power-of-ten unit associated with that position; the digit’s value is determined by multiplying its face value by that unit. This understanding distinguishes a digit from its value and supports interpreting standard and expanded forms, comparing and rounding multi-digit numbers, and performing computation; decimals, negative numbers, and positions beyond this range are not included.

Detailed Explanation: Identify the place value of a digit

To identify a digit’s place value:

  1. Find the digit in the whole number.
  2. Count its position from the right:
    • ones
    • tens
    • hundreds
    • thousands
    • ten-thousands
    • hundred-thousands
    • millions
  3. Name the place. The digit’s value is its face value multiplied by that place’s unit.

Example: What is the place value of the digit 88 in 6, ⁣482, ⁣3156,\!482,\!315?

Count from the right:

6482315millionshundred-thousandsten-thousandsthousandshundredstensones\begin{array}{ccccccc} 6 & 4 & 8 & 2 & 3 & 1 & 5\\ \text{millions} & \text{hundred-thousands} & \text{ten-thousands} & \text{thousands} & \text{hundreds} & \text{tens} & \text{ones} \end{array}

The 88 is in the ten-thousands place.

Its value is:

8×10, ⁣000=80, ⁣0008 \times 10,\!000 = 80,\!000

So, the digit 88 has a place value of ten-thousands, and its value is 80, ⁣00080,\!000.

Learn by doing: Identify the place value of a digit

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    Place Value - Identify in Number

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