Question

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 \(3 \cdot 10^3\).