Question

how would you write 0.0005 in scientific notation?

Explanation:

Step1: Recall scientific notation rules

Scientific notation is in the form \( a \times 10^n \), where \( 1 \leq |a| < 10 \) and \( n \) is an integer.

Step2: Determine \( a \) and \( n \) for 0.0005

For 0.0005, move the decimal point 4 places to the right to get \( a = 5 \). Since we moved the decimal to the right, \( n = - 4 \). So in scientific notation, it is \( 5 \times 10^{-4} \).

Answer:

\( 5 \times 10^{-4} \)