The radius of a hydrogen atom is 0.0000000529177 of a millimeter. Express this number as an approximation.(1 point)
Responses
0.00000006
0.00000006
0.00000005
0.00000005
0.0000000053
0.0000000053
0.0000005
The approximation for the radius of a hydrogen atom is 0.00000005.
How many times is 4 × 104 larger than 2 × 102?(1 point)
Responses
200
200
20
20
2,000
2,000
2
To find out how many times 4 × 104 is larger than 2 × 102, we divide the two numbers:
(4 × 104) / (2 × 102) = 2 × 102 / 2 × 102 = 2.
Therefore, 4 × 104 is 2 times larger than 2 × 102.
whats the answer
The answer is 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
2.79 × 1011
2.79 times 10 superscript 11 baseline
3 × 10−11
3 times 10 superscript negative 11 baseline
3 × 1011
3 times 10 superscript 11 baseline
2 × 1011
The closest estimation of the federal debt of Country C 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
10−4
10 superscript negative 4 baseline
104
10 superscript 4 baseline
0.0001
To find out how many times less 102 is than 106, we divide the two numbers:
106 / 102 = 10^4 / 10^2 = 10^(4-2) = 10^2.
Therefore, 102 is 10^2 times less than 106. The answer is 10^2 or 100.
incorrect
Apologies for the error. Let's try again:
To find out how many times less 102 is than 106, we divide the larger number by the smaller number:
106 / 102 = 1.0392...
Since the result is greater than 1, it means that 102 is approximately 1 times less than 106. Therefore, the answer is 1 or 10^0.
The answer choices are
10,000
106-4
10^4
0.0001
Apologies for the confusion. From the given answer choices, the closest option to the correct answer would be "10,000".
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 × 10−8
3 times 10 superscript negative 8 baseline
3 × 109
3 times 10 superscript 9 baseline
3 × 10−9
The correct answer is "3 × 10^-8".
A total of 7,803,100 tourists visited Country A from the year 2018 to the year 2020. Round to the nearest place value, then express this number in the form of a single digit times an integer power of 10.(1 point)
To round 7,803,100 to the nearest place value, we consider the digit in the next smallest place value, which is the hundred thousands (0). Since the digit in the hundred thousands place (0) is less than 5, we round down the number.
Rounding 7,803,100 down to the nearest place value gives us 7,800,000.
Expressing this number in the form of a single digit times an integer power of 10, we get 7.8 × 10^6.
Two weeks before an examination day, a librarian monitored the number of students who visited the library. Then they compared it with the number of visits made in an average week. Approximately 2×103 visits were reflected in their logbook during this two-week period, while only about 5×102 were reflected on an average week. How many times higher is the number of library visits before examination day compared to the library visits in an average week? Your answer should be a whole number.(1 point)
To find out how many times higher the number of library visits before the examination day is compared to an average week, we divide the number of visits before the examination day by the number of visits in an average week:
(2 × 10^3) / (5 × 10^2) = (2/5) × (10^3 / 10^2) = (2/5) × 10^(3-2) = (2/5) × 10^1 = 2.
Therefore, the number of library visits before the examination day is 2 times higher than the number of visits in an average week.
It takes 10 years for a $100 monthly bank deposit to amount to $15,528.23 when invested at 5% interest compounded monthly. Round to the nearest place value, then express the amount $15,528.23 in the form of a×10n where a is single digit.(1 point)
To express the amount $15,528.23 in the form of a × 10^n, we need to determine the appropriate value of a and n.
Rounded to the nearest place value, $15,528.23 becomes $15,528.
To find a and n, we can rewrite $15,528 as $1.5528 × 10^4.
Therefore, $15,528.23 can be expressed as approximately $1.5528 × 10^4.