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Determine the value of a digit

A digit’s value in a whole number depends on its place: in three-digit numbers through 999, a digit may represent ones, tens, or hundreds, with each position worth ten times the position to its right. This understanding connects standard notation to expanded form and place-value representations, and distinguishes the digit’s written symbol from the quantity it represents; decimals and place values beyond hundreds are not included.

Detailed Explanation: Determine the value of a digit

A digit’s value depends on its place in a number:

  • Ones place: worth 11
  • Tens place: worth 1010
  • Hundreds place: worth 100100

Each place is 1010 times the place to its right.

Example: What is the value of the digit 77 in 572572?

  1. Find the digit 77:

572572
  1. Look at its place. The 77 is in the tens place.

  2. Each digit in the tens place is worth 1010 times its digit:

7 tens=707 \text{ tens} = 70

So, the value of the digit 77 in 572572 is 7070.

The number can also be written in expanded form:

572=500+70+2572 = 500 + 70 + 2

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Place Value - Identify in Number


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