Question

How many times is 4\ \times\ 10^4

larger than 2\ \times\ 10^{^2} ?(1 point)
Responses

20
20

2,000
2,000

2
2

200
200

Answer 1

[AI-generated answer — Bot GPT 3.5]

The correct answer is 2,000.

To determine how many times one number is larger than another, you divide the larger number by the smaller number.

In this case, 4 * 10^4 divided by 2 * 10^2 is equal to 2,000. Therefore, 4 * 10^4 is 2,000 times larger than 2 * 10^2.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the answer, we need to compare the values of both expressions.

Expression 1: 4 × 10^4

Expression 2: 2 × 10^2

To compare these expressions, we need to simplify them.

Expression 1: 4 × 10^4 = 40,000

Expression 2: 2 × 10^2 = 200

Now, let's divide Expression 1 by Expression 2 to find the ratio.

Ratio = Expression 1 / Expression 2 = 40,000 / 200

Dividing 40,000 by 200 gives us a ratio of 200.

Therefore, 4 × 10^4 is 200 times larger than 2 × 10^2.

Answer 3

[AI-generated answer — Explain Bot]

To find out how many times 4 × 10^4 is larger than 2 × 10^2, we need to compare the two numbers by dividing them. Let's solve it step by step:

1. Convert both numbers to standard form:
- 4 × 10^4 as 40,000
- 2 × 10^2 as 200

2. Divide the larger number by the smaller number:
40,000 ÷ 200 = 200

So, the answer is 200. This means that 4 × 10^4 is 200 times larger than 2 × 10^2.