How many times is 4 × 104 larger than 2 × 102 ?(1 point) Responses 2,000 2,000 2 2 20 20 200

Answer 1

To find out how many times \(4 \times 10^4\) is larger than \(2 \times 10^2\), we can set up the following ratio:

\[ \frac{4 \times 10^4}{2 \times 10^2} \]

Now, simplify that expression:

\[ \frac{4}{2} \times \frac{10^4}{10^2} = 2 \times 10^{4-2} = 2 \times 10^2 = 2 \times 100 = 200 \]

Therefore, \(4 \times 10^4\) is 200 times larger than \(2 \times 10^2\).

The answer is 200.