Question

The diameter of the smallest visible particle is 0.0002 in. Express this number in scientific notation.

Answer 1

Answer:

2·$10^{-4}$

Step-by-step explanation:

Answer 2

Answer:

Diameter = 2 × $10^{-4}$ inches

Step-by-step explanation:

Given the diameter of the smallest visible particle, 0.0002 inches, we can express this into the following scientific notation: 2 × $10^{-4}$ inches.  

In expressing decimal forms into scientific notation, the goal is to move the decimal point towards the right, until there is only one non-zero digit remaining towards the left-side of the decimal point.  In this case, it will take 4 units towards the right of the sole non-zero digit, which is 2. Moving the decimal point towards the right means that 10 will have a negative exponent.  

Therefore, the scientific notation of 0.0002 inches is 2 × $10^{-4}$ inches.