how many times is 4 x 10^4 larger than 2 x 10^2?

Question

20
200
2,000
2

Answer 1

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

1. Calculate \( 4 \times 10^4 \): \[ 4 \times 10^4 = 40,000 \]

2. Calculate \( 2 \times 10^2 \): \[ 2 \times 10^2 = 200 \]

3. Now divide \( 40,000 \) by \( 200 \) to find out how many times larger it is: \[ \frac{40,000}{200} = 200 \]

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

The answer is 200.