Place Value Math Example 1

Follow the full solution, then compare it with the other examples linked below.

Example 1

easy
Write the number 4,0724{,}072 in expanded form.

Solution

  1. 1
    Identify each digit and its place: 4 is in the thousands place, 0 is in the hundreds place, 7 is in the tens place, 2 is in the ones place.
  2. 2
    Expanded form: 4×1000+0×100+7×10+2×14 \times 1000 + 0 \times 100 + 7 \times 10 + 2 \times 1.
  3. 3
    Simplify: 4000+0+70+2=4,0724000 + 0 + 70 + 2 = 4{,}072.

Answer

4×1000+7×10+2×14 \times 1000 + 7 \times 10 + 2 \times 1
Expanded form reveals the place value of every digit. The zero in the hundreds place is a placeholder — it contributes 0×100=00 \times 100 = 0 but is essential for correct positional meaning of the other digits.

About Place Value

The value a digit represents based on its position in a number; the same digit means different amounts in different places.

Learn more about Place Value →

More Place Value Examples

Example 2 medium

In the number [formula], what is the value of the digit [formula]?

Example 3 medium

What is the value of the digit 7 in the number [formula]?

Example 4 easy

What number is 100 more than [formula]?

Example 5 medium

A number has 5 in the thousands place, 0 in the hundreds place, 3 in the tens place, and 8 in the on

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