Question

write the number 0.0000085 in scientific notation.

Explanation:

Step1: Identify the coefficient

To write a number in scientific notation \(a\times10^{n}\) where \(1\leq|a|\lt10\) and \(n\) is an integer, we first find \(a\) for \(0.0000085\). We move the decimal point to the right until we get a number between 1 and 10. Moving the decimal point 6 places to the right gives us \(8.5\).

Step2: Determine the exponent

Since we moved the decimal point 6 places to the right, the exponent \(n\) is \(- 6\) (because the original number is less than 1, the exponent is negative).

Answer:

\(8.5\times10^{-6}\)