Scientific Notation
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Scientific Notation Calculator Guide
Convert numbers to and from scientific notation. Scientific notation writes a number as a coefficient between 1 and 10 multiplied by a power of ten, which makes very large or very small numbers easy to read.
a × 10ⁿ, where a is at least 1 and less than 10, and n is an integer. Positive n shifts the decimal right (large numbers); negative n shifts it left (small numbers).
How Do I Write a Number in Scientific Notation?
Move the decimal point until one nonzero digit remains on the left, and count how many places you moved it. For example, 42,000 becomes 4.2 × 10⁴, and 0.00042 becomes 4.2 × 10⁻⁴.
Why Scientific Notation Is Useful
It keeps huge and tiny numbers compact and comparable — the speed of light is about 3 × 10⁸ meters per second, and an atom's diameter is roughly 1 × 10⁻¹⁰ meters. The exponent instantly shows the scale.
Related: Exponent Calculator, Rounding Calculator, and Length Converter.
Frequently Asked Questions
What is scientific notation?
A way of writing numbers as a coefficient between 1 and 10 times a power of ten, such as 4.2 × 10⁴ for 42,000.
How do I convert to scientific notation?
Move the decimal so one nonzero digit is on the left, then use the number of places moved as the exponent.
What does a negative exponent mean here?
A negative power of ten means a small number less than one — 4.2 × 10⁻⁴ equals 0.00042.
What is E notation?
E notation is a shorthand where "E" replaces "× 10^", so 4.2 × 10⁴ is written 4.2E4.
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