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

0.000325, 0.00125, 0.00225, 0.00325

wrong

I apologize for the mistake. The correct answer is:

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

please explain

The numbers in this set are arranged in ascending order. To understand why, let's look at the base numbers of each number in scientific notation:

0.000325
0.00125
0.00225
0.00325

When comparing the base numbers, we see that 0.000325 is the smallest, followed by 0.00125, then 0.00225, and finally 0.00325. Therefore, the numbers are arranged in ascending order.

3.25 × 10−4

, 1.25 × 10−3
, 2.25 × 10−3
, 3.25 × 10−3
please explain how

Apologies for the confusion.

Let's focus on the exponent of each number:

3.25 × 10−4
1.25 × 10−3
2.25 × 10−3
3.25 × 10−3

The exponents are -4, -3, -3, and -3, respectively. Since the exponents are the same (-3), we need to compare the coefficients, which are the numbers before the "× 10" part.

Comparing the coefficients, we find that:
1.25 < 2.25 < 3.25

Therefore, in ascending order, the numbers are arranged as follows:
1.25 × 10−3
2.25 × 10−3
3.25 × 10−3
3.25 × 10−4

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

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

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
3 × 1011
- not selected, this is the correct answer