6 \cdot 10^5 is how many times as large as 3\cdot10^{3}

Answer 1

To find how many times \(6 \cdot 10^5\) is as large as \(3 \cdot 10^3\), we can set up the following division:

\[ \frac{6 \cdot 10^5}{3 \cdot 10^3} \]

Now let's simplify this expression:

1. Divide the coefficients: \[ \frac{6}{3} = 2 \]

2. Divide the powers of 10: \[ \frac{10^5}{10^3} = 10^{5-3} = 10^2 \]

Now, combine the results from steps 1 and 2: \[ 2 \cdot 10^2 \]

Finally, we can express \(2 \cdot 10^2\) as: \[ 2 \cdot 100 = 200 \]

Thus, \(6 \cdot 10^5\) is \(200\) times as large as \(3 \cdot 10^3\).