Decimal to Expanded Form Converter

Understanding Decimal Expanded Form

The expanded form of a decimal number breaks down the number based on the place value of each digit. It shows each digit multiplied by its corresponding power of 10. For example, the decimal number 123.45 in expanded form is represented as:

123.45 = (1 × 10²) + (2 × 10¹) + (3 × 10⁰) + (4 × 10^-1) + (5 × 10^-2)

This representation helps to clearly understand the value of each digit in the number. The digits to the left of the decimal point represent positive powers of 10, starting from 10⁰ at the decimal point and increasing to the left. Digits to the right of the decimal point represent negative powers of 10, starting from 10^-1 immediately to the right of the decimal point and decreasing to the right. This tool simplifies this process, making it easy to visualize and learn about decimal place values.

Learn more about expanded form on Wikipedia and Math is Fun.