How many times is 4 × 104

Question

larger than 2 × 102
?
Responses

20
20 - incorrect

200
200 - not selected, this is the correct answer

2
2 - no response given

2,000

Please explain shortly

Answer 1

To determine how many times 4 × 10^4 is larger than 2 × 10^2, we divide the larger number by the smaller number.

(4 × 10^4) ÷ (2 × 10^2) = 2 × 10^(4-2) = 2 × 10^2 = 200

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

Answer 2

At the end of fiscal year 2004, the federal debt of Country C is $278,560,125,000. What is the closest estimation of this amount? Express your answer in the form of a single digit times an integer power of 10.
Responses

2.79 × 1011
2.79 × 1011
- incorrect

3 × 10−11
3 × 10−11
- no response given

2 × 1011
2 × 1011
- no response given

3 × 1011

Answer 3

The closest estimation of $278,560,125,000 in the form of a single digit times an integer power of 10 is 2.79 × 10^11.

Answer 4

3 × 10^−11

2 × 10^11

3 × 10^11

Answer 5

I apologize for the confusion, but the correct estimation of $278,560,125,000 in the form of a single digit times an integer power of 10 is 3 × 10^11.

Answer 6

In which set are the numbers arranged in ascending order?
Responses

3.25 × 10−4
, 1.25 × 10−3
, 2.25 × 10−3
, 3.25 × 10−3
3.25 × 10−4
, 1.25 × 10−3
, 2.25 × 10−3
, 3.25 × 10−3
- not selected, this is the correct answer

0.00125, 0.00225, 0.000325, 0.00325
0.00125, 0.00225, 0.000325, 0.00325 - no response given

3.25 × 10−3
, 2.25 × 10−3
, 3.25 × 10−4
, 1.25 × 10−3
3.25 × 10−3
, 2.25 × 10−3
, 3.25 × 10−4
, 1.25 × 10−3
- no response given

0.000325, 0.00225, 0.00125, 0.00325

Answer 7

The numbers arranged in ascending order are:

0.000325, 0.00125, 0.00225, 0.00325