Definition
Expanded form
Expanded form writes a number as the sum of its place-value parts.
Continue from this idea into connected AXIO math.
Defining relationship
Unpack the number into what each digit is worth.
Expanded form represents a number by adding the value contributed by each nonzero digit, often using place-value units or digit-times-place-value products.
What it means
Expanded form opens a numeral so each digit’s value is visible. In 5,307, the 5 contributes 5,000, the 3 contributes 300, and the 7 contributes 7. Zero-value parts may be left out.
Remember it
Unpack the number into what each digit is worth.
Example
62.4 in expanded form is 60 + 2 + 0.4. Adding those parts gives the original number, 62.4.
Watch for
Expanded form must keep the same total value; it is not just putting plus signs between digits.
Common mix-up
6 + 2 + 4 is not expanded form for 624 because it ignores the hundreds and tens values.
Exact meaning
Expanded form represents a number by adding the value contributed by each nonzero digit, often using place-value units or digit-times-place-value products.