how many times larger is 6*10^8 than 2*10^6

1 answer

To determine how many times larger \(6 \times 10^8\) is than \(2 \times 10^6\), we can divide the two numbers:

\[ \frac{6 \times 10^8}{2 \times 10^6} \]

This can be simplified as follows:

\[ = \frac{6}{2} \times \frac{10^8}{10^6} \]

Calculating each part:

  1. \(\frac{6}{2} = 3\)
  2. \(\frac{10^8}{10^6} = 10^{8-6} = 10^2\)

Now combining these results:

\[ 3 \times 10^2 = 3 \times 100 = 300 \]

Thus, \(6 \times 10^8\) is 300 times larger than \(2 \times 10^6\).