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)
3 × 10^−11
2 × 10^11
2.79 × 10^11
3 × 10^11
The closest estimation of $278,560,125,000 in the form of a single digit times an integer power of 10 is 2.79 x 10^11.
How many times less is 102 than 106? Express your answer as an integer power of 10. (1 point)
0.0001
10^4
10^−4
10,000
To find out how many times less 102 is than 106, we divide 106 by 102:
106 ÷ 102 = 1.0392
So, 102 is approximately 1.0392 times less than 106.
Expressed as an integer power of 10, this can be written as 10^0, because it is approximately 1 times less.
How many times less is 10^2 than 10^6? Express your answer as an integer power of 10. (1 point)
0.0001
10^4
10^−4
10,000
To find out how many times less 10^2 is than 10^6, we divide 10^6 by 10^2:
(10^6) ÷ (10^2) = 10^(6-2) = 10^4
So, 10^2 is 10^4 times less than 10^6.
Expressed as an integer power of 10, this is 10^4.
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 × 10^n where 1 < a < 10 and is a one-digit number. (1 point)
3 × 10^9
3 × 10^−8
3 × 10^8
3 × 10^−9
To express the number in the form of a × 10^n, we can rewrite 0.000000003 as 3 × 10^-9.
Therefore, the correct answer is 3 × 10^-9.
Country S has 12,345,000 residents who tested positive for COVID-19. What is the largest place value of the numeric part of this quantity? (1 point)
___ million
The largest place value of the numeric part of 12,345,000 is million.
Therefore, it would be expressed as 12.345 million.