Write the number 5432 in expanded notation form: (Decompose 5432)
Remember that each digit in the whole number represents a power of 10:
First take the whole number portion of the number on the left side of the decimal
Expanded Notation of 5432 = (5 x 10
3) + (4 x 10
2) + (3 x 10
1) + (2 x 10
0)
Expanded Notation of 5432 = (5 x 1000) + (4 x 100) + (3 x 10) + (2 x 1)
Now multiply through and simplify to prove this is the correct notation: 5432 = 5000 + 400 + 30 + 2
5432 = 5432 <---- Correct!
(5 x 1000) + (4 x 100) + (3 x 10) + (2 x 1)
What is the Answer?
(5 x 1000) + (4 x 100) + (3 x 10) + (2 x 1)
How does the Expanded Notation Calculator work?
Writes the expanded notation for a number.
This calculator has 1 input.
What 4 formulas are used for the Expanded Notation Calculator?
- Determine the digit number counting from the right. Call this n
- Calculate 10n
- Multiply the value in Step 2 by the value in Step 1
- Repeat for each digit
For more math formulas, check out our
Formula Dossier
What 4 concepts are covered in the Expanded Notation Calculator?
- digit
- Any of the numbers (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) used to construct a number
- expanded notation
- Writing out a number to show the sum of each digit multiplied by the place value
9256 = 9(1000) + 2(100) + 5(10) + 6(1) - notation
- An expression made up of symbols for representing operations, unspecified numbers, relations and any other mathematical objects
- whole number
- numbers that include natural numbers and zero
{0, 1, 2, 3, ...}
Example calculations for the Expanded Notation Calculator
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