How many times is 4 × 104 larger than 2 × 102 ?(1 point)

Responses

2
2

200
200

2,000
2,000

20

The answer is 20. If we simplify 4 × 10^4 and 2 × 10^2, they become 40,000 and 200, respectively. Therefore, 4 × 10^4 is 20 times larger than 2 × 10^2.

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.(1 point)

Responses

3 × 10−11
3 times 10 superscript negative 11 baseline

2.79 × 1011
2.79 times 10 superscript 11 baseline

2 × 1011
2 times 10 superscript 11 baseline

3 × 1011

The closest estimation of the federal debt of Country C at the end of fiscal year 2004 is 2.79 × 10^11.

How many times less is 102 than 106 ? Express your answer as an integer power of 10.(1 point)

Responses

10,000
10,000

0.0001
0.0001

104
10 superscript 4 baseline

10−4

The answer is 10^-4. 102 is 10^4 times less than 106.

Roughly, it takes light less than 0.000000003 of a second to travel a one-meter distance. Express this number in the form of a × 10n where 1 < a < 10 and is a one-digit number.(1 point)

Responses

3 × 108
3 times 10 superscript 8 baseline

3 × 10−9
3 times 10 superscript negative 9 baseline

3 × 109
3 times 10 superscript 9 baseline

3 × 10−8

The answer is 3 × 10^(-8).