Unlock Decimal Expansions
Explore the fascinating world of irrational numbers by calculating their decimal expansions with precision.
Decimal Expansion:
Understanding Decimal Expansion
The decimal expansion you see is a representation of the irrational number approximated to decimal places.
Irrational numbers, like , have decimal expansions that are non-repeating and non-terminating. This means the digits after the decimal point continue infinitely without forming a repeating pattern.
For practical purposes, we often use a truncated or rounded decimal representation. This tool provides you with a precise truncated decimal expansion to help you explore these fascinating numbers.
What is Decimal Expansion?
Decimal expansion is the representation of a number in base-10. It consists of digits arranged in places representing powers of 10. For example, the decimal expansion of 123.45 means 1 × 102 + 2 × 101 + 3 × 100 + 4 × 10-1 + 5 × 10-2.
Irrational numbers are numbers that cannot be expressed as a simple fraction p/q, where p and q are integers. Their decimal expansions are non-terminating and non-repeating. Common examples include π, √2, and e.
This calculator helps you explore these numbers by providing their decimal expansions to a desired number of digits, offering a glimpse into their infinite nature.