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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.

math education place value number to words primary school

Formulas

A number in base-10 is the sum of its digits multiplied by their place value:

N = ni=0 di × 10i

Where d is the digit at position i.

Reference Data

Digit PositionValue (Power of 10)Name
1001Ones (Units)
10110Tens
102100Hundreds
1031,000Thousands
1061,000,000Millions
10-10.1Tenths
10-20.01Hundredths

Frequently Asked Questions

The logic supports numbers up to the Trillions (12 zeros) before the text generation becomes too verbose. Scientific notation is not supported.
Yes, it supports decimal points up to 6 places, labeling them as tenths, hundredths, thousandths, etc.