Skill: Identify the value of a digit

Explanation and Free Practice Resources

A digit’s value in a multi-digit whole number is determined by its place—the number of groups of ten it represents—not by the digit alone; the same digit can represent ones, tens, hundreds, or higher powers of ten, while zero may hold a place without contributing a quantity. Interpreting standard, expanded, and place-value representations supports comparing, rounding, and computing with whole numbers; decimal place value, other bases, and arbitrarily large or generalized numbers are outside this scope.

Detailed Explanation: Identify the value of a digit

A digit’s value depends on its place in the number.

Look at the number:

5,4825{,}482

Suppose we want to find the value of the digit 44.

  1. Find the place of the 44:

    ThousandsHundredsTensOnes
    55448822
  2. The 44 is in the hundreds place.

  3. Four hundreds equals:

4×100=4004 \times 100 = 400

So, the value of the digit 44 in 5,4825{,}482 is 400400.

Remember: the digit is 44, but its value is 400400 because it is in the hundreds place. A zero can hold a place, but it contributes a value of 00.

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Place Value - Value In Number


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