How many times is 4 * 10 ^ 4 larger than 2 * 10 ^ 2
To compare the two quantities, we need to calculate the ratio of the first quantity to the second quantity.
First quantity: 4 * 10^4
Second quantity: 2 * 10^2
To compare, we divide the first quantity by the second quantity:
(4 * 10^4) / (2 * 10^2)
Simplifying the numerator and denominator separately:
4 * 10^4 = 40000
2 * 10^2 = 200
So, the ratio is:
40000 / 200 = 200
Therefore, 4 * 10^4 is 200 times larger than 2 * 10^2.
To find out how many times 4 * 10^4 is larger than 2 * 10^2, we can divide the two numbers.
First, let's simplify both expressions:
4 * 10^4 = 4 * 10000 = 40000
2 * 10^2 = 2 * 100 = 200
Now we can calculate the ratio:
40000 / 200 = 200
So, 4 * 10^4 is 200 times larger than 2 * 10^2.
To compare two numbers in scientific notation, you need to first convert them into the same power of 10.
Let's convert both numbers into the same power of 10:
4 * 10 ^ 4 = 4 * 10,000 = 40,000
2 * 10 ^ 2 = 2 * 100 = 200
Now let's compare:
40,000 / 200 = 200
Therefore, 4 * 10 ^ 4 is 200 times larger than 2 * 10 ^ 2.