How many times is 4 × 104 larger than 2 × 102 ?(1 point) Responses 20 20 2,000 2,000 2 2 200
4 × 10^4 is 2,000 times larger than 2 × 10^2.
To calculate how many times 4 × 104 is larger than 2 × 102, we can divide the first number by the second number.
4 × 104 = 4,000
2 × 102 = 200
Dividing 4,000 by 200 gives us 20.
So, 4 × 104 is 20 times larger than 2 × 102.
To find out how many times 4 × 10^4 (4 multiplied by 10 raised to the power of 4) is larger than 2 × 10^2 (2 multiplied by 10 raised to the power of 2), we need to compare the two values.
First, let's simplify the values:
4 × 10^4 = 40,000
2 × 10^2 = 200
To get the answer, we divide the larger value by the smaller value:
40,000 / 200 = 200
Therefore, 4 × 10^4 is 200 times larger than 2 × 10^2.