A digit's value depends on its position. Every move left multiplies its contribution by ten; every move right divides it by ten.
Use place value to read decimals, check written arithmetic, expand numbers, and understand rounding.
The key rule
What stays true
304.052 = 3×10² + 4×10⁰ + 5×10⁻² + 2×10⁻³
See the idea
Visual explanation
100s 310s 01s 4.1 0.01 5.001 2
Example
Apply it
The digit 5 in 304.052 contributes 0.05.
A zero can hold a place even when it contributes no amount.
Quick guide
How to use this calculator
Enter a decimal exactly as you want it inspected.
Read each digit, place, power, and signed contribution.
Add the contributions to reconstruct the input.
Calculation method
Every position is a power of ten
Positions left of the decimal marker use non-negative powers; positions right of it use negative powers. For a negative number, each nonzero contribution carries the sign.
Worked example
Place value in 304.052
The 3 contributes 300, the 4 contributes 4, the 5 contributes 0.05, and the 2 contributes 0.002.
304.052 = 3×10² + 4×10⁰ + 5×10⁻² + 2×10⁻³
Supported inputs
Precision and limits
Readable table
The page accepts at most 60 written digits so every row remains inspectable.
Exact decimal input
Finite decimals use integer-scaled arithmetic, with no binary floating-point conversion.
