Question

what is scientific notation?

Explanation:

Scientific notation is a way to express numbers, especially very large or very small ones, in the form \( a \times 10^{n} \), where \( 1 \leq |a| < 10 \) and \( n \) is an integer. For example, the number 5000 can be written as \( 5 \times 10^{3} \) in scientific notation, and 0.0003 can be written as \( 3 \times 10^{-4} \). This format makes it easier to handle and communicate numbers with many digits or extreme magnitudes, and it's widely used in scientific, engineering, and mathematical contexts to represent quantities like astronomical distances, atomic sizes, or very precise measurements.

Answer:

Scientific notation is a method of writing numbers (especially very large or very small ones) as \( \boldsymbol{a \times 10^{n}} \), where \( 1 \leq |a| < 10 \) and \( n \) is an integer.