How many times is 4 x 10^4 larger than 2 x 10^2?
1. 20
2. 2
3. 200
4. 2,000
To find out how many times one number is larger than another, we divide the larger number by the smaller number. In this case, we divide 4 x 10^4 by 2 x 10^2.
4 x 10^4 / 2 x 10^2
= (4/2) x (10^4 / 10^2)
= 2 x 10^2
= 200
So, 4 x 10^4 is 200 times larger than 2 x 10^2.
Therefore, the answer is 3. 200.
To find out how many times 4 x 10^4 is larger than 2 x 10^2, we can divide the two numbers.
(4 x 10^4) / (2 x 10^2)
First, divide the coefficients:
4 / 2 = 2
Next, subtract the exponents:
10^4 / 10^2 = 10^(4-2) = 10^2
So, the expression simplifies to:
2 x 10^2
Therefore, the answer is 2.
To solve this problem, we need to compare 4x10^4 with 2x10^2.
The exponents in scientific notation represent the number of times we multiply the base number (10) by itself. So, 10^4 means multiplying 10 by itself 4 times, and 10^2 means multiplying 10 by itself 2 times.
To find the difference between the two numbers, we will divide the larger number by the smaller number. So, let's divide 4x10^4 by 2x10^2:
(4x10^4) ÷ (2x10^2) = (4/2) x (10^4/10^2) = 2 x 10^2
Therefore, 4x10^4 is 2 times larger than 2x10^2, which corresponds to answer choice 2.