Number Decomposition & Place Value Calculator
Educational math tool for decomposing integers and decimals into place values. Converts numbers to expanded form and English text.
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About
Understanding the value of each digit within a larger number is a fundamental concept in mathematics known as "Place Value." This tool helps students and teachers visualize the structure of numbers by breaking them down into their constituent parts (expanded form).
For example, the number 345.2 is decomposed into 300 + 40 + 5 + 0.2. The tool also features a Number-to-Text engine, converting digits into their spoken English equivalent, aiding in literacy and pronunciation of large figures up to the trillions.
Formulas
A number in base-10 is the sum of its digits multiplied by their place value:
Where d is the digit at position i.
Reference Data
| Digit Position | Value (Power of 10) | Name |
|---|---|---|
| 100 | 1 | Ones (Units) |
| 101 | 10 | Tens |
| 102 | 100 | Hundreds |
| 103 | 1,000 | Thousands |
| 106 | 1,000,000 | Millions |
| 10-1 | 0.1 | Tenths |
| 10-2 | 0.01 | Hundredths |