Question

1. the diameter of a large virus is $3.0 \cdot 10^{-7}$ meters. write this number in standard notation. 0.0003 meters 0.0000003 meters 30,000 meters 30,000,000 meters

Explanation:

Step1: Recall the rule for negative exponents

For a number in scientific notation \(a\times10^{-n}\), we move the decimal point \(n\) places to the left. Here, \(a = 3.0\) and \(n=7\).

Step2: Move the decimal point

Starting with \(3.0\), moving the decimal point 7 places to the left: \(3.0\) becomes \(0.0000003\) (we add 6 zeros between the decimal and the 3 since we need to move 7 places: 1st place: \(0.3\), 2nd: \(0.03\), 3rd: \(0.003\), 4th: \(0.0003\), 5th: \(0.00003\), 6th: \(0.000003\), 7th: \(0.0000003\)).

Answer:

0.0000003 meters (corresponding to the option "0.0000003 meters")