How many times larger is 6 • 108 than 2 • 106?

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Answer 1

To determine how many times larger \( 6 \cdot 10^8 \) is than \( 2 \cdot 10^6 \), you can set up the ratio:

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

Now, simplify the expression step by step:

1. Divide the coefficients:

\[ \frac{6}{2} = 3 \]

2. Now, divide the powers of ten using the property of exponents:

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

3. Combining both results:

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

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

So, the final answer is:

\[ \boxed{300} \]