Scientific Notation Calculator
Convert a number to and from scientific notation and standard form, and see it in E-notation and engineering notation. Handles very large and very small numbers.
Scientific notation
4.5 Γ 10β»β΄
Standard form
0.00045
E notation
4.5E-4
Engineering notation
450 Γ 10β»βΆ
Scientific notation uses a coefficient from 1 to 10; engineering notation uses an exponent that is a multiple of 3 to align with metric prefixes.
Frequently Asked Questions
How do I convert a number to scientific notation?
Move the decimal point so exactly one non-zero digit is to its left, giving the coefficient (a number from 1 up to but not including 10). Count how many places you moved: that count is the exponent on 10 β positive if the original number was large, negative if it was small. For example, 4500 becomes 4.5 Γ 10Β³.
How do I convert scientific notation back to standard form?
Multiply the coefficient by 10 raised to the exponent: move the decimal point that many places right for a positive exponent or left for a negative one. So 3.2 Γ 10β»β΄ becomes 0.00032.
What is E notation?
E (or e) notation writes 'times ten to the power' as the letter E, so 6.02 Γ 10Β²Β³ is written 6.02E23. Calculators and programming languages use it because it is plain text. This tool shows both forms.
What is engineering notation?
Engineering notation is like scientific notation but the exponent is always a multiple of 3, so the coefficient can range from 1 up to 1000. It lines up with metric prefixes like kilo, mega, and milli. For example, 47000 is 47 Γ 10Β³.
What is standard form?
Standard form is another name for scientific notation, used mainly in the UK and many other countries. It means the same thing: a coefficient between 1 and 10 multiplied by a power of ten.