How many times is 4 * 10 ^ 4 larger than 2 * 10 ^ 2 ? (1 point) 2,000
200
20
2
4 * 10^4 is 200 times larger than 2 * 10^2.
To find how many times 4 * 10^4 is larger than 2 * 10^2, we can divide the two given values:
(4 * 10^4) / (2 * 10^2)
First, we can simplify the expression in the numerator:
4 * 10^4 = 40,000
And the expression in the denominator:
2 * 10^2 = 200
Now, we can divide 40,000 by 200 to find the answer:
40,000 / 200 = 200
Therefore, 4 * 10^4 is 200 times larger than 2 * 10^2.
To determine how many times 4 * 10^4 is larger than 2 * 10^2, we can compare their ratios.
First, let's simplify both expressions:
4 * 10^4 = 4 * 10,000 = 40,000
2 * 10^2 = 2 * 100 = 200
Next, divide the larger number by the smaller number to find the ratio:
40,000 / 200 = 200
Therefore, 4 * 10^4 is 200 times larger than 2 * 10^2. So the correct answer is 200.