Question

write explain how to recognize if a number is in scientific notation.
write explain why someone would want to use scientific notation

Explanation:

A number in scientific notation has the form \( a\times10^{n} \), where \( 1\leq|a|\lt10 \) ( \( a \) is a real number with one non - zero digit before the decimal point) and \( n \) is an integer. For example, \( 3.2\times10^{5} \) and \( 5.1\times10^{-3} \) are in scientific notation, while \( 32\times10^{4} \) (since \( 32\geq10 \)) and \( 0.5\times10^{3} \) (since \( 0.5\lt1 \)) are not in proper scientific notation.

Answer:

A number is in scientific notation if it is written as \( a\times10^{n} \), where \( 1\leq|a|\lt10 \) ( \( a \) has one non - zero digit before the decimal) and \( n \) is an integer.