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
Apologies for the confusion. The closest estimation of $278,560,125,000 in the form of a single digit times an integer power of 10 is 3 × 10^11.
please explain
Subtract 4.66×10−5−7.34×10−7
Responses
2.68×102
2 point 6 8 times 10 squared - no response given
−4.5866×10−5
negative 4 point 5 8 6 6 times 10 to the negative 5 power - incorrect
4.5866×10−5
4 point 5 8 6 6 times 10 to the negative 5 power - not selected, this is the correct answer
−2.68×102
To subtract 4.66×10^(-5) - 7.34×10^(-7), we need to perform the subtraction separately for the coefficients and the exponents.
The coefficients:
4.66 - 7.34 = -2.68
The exponents:
10^(-5) - 10^(-7) = 10^(-5) because subtracting a smaller exponent from a larger one results in the larger exponent remaining.
Putting it together, we get the result as -2.68 × 10^(-5), which in decimal form is -0.0000268.
Therefore, the closest estimation for the subtraction of 4.66×10^(-5) - 7.34×10^(-7) is -2.68×10^(-5).
Subtract 4.66×10−5−7.34×10−7\
−4.5866×10−5
negative 4 point 5 8 6 6 times 10 to the negative 5 power - incorrect
4.5866×10−5
Apologies for the mistake. The correct answer is:
4.5866×10^(-5)
explain
To subtract 4.66×10^(-5) - 7.34×10^(-7), we need to subtract the coefficients and keep the same exponent.
Subtracting the coefficients:
4.66 - 7.34 ≈ -2.68
Since both numbers have the same exponent of 10^(-5), we keep the exponent the same.
Therefore, the result is 4.5866 × 10^(-5) or approximately 0.000045866.
The U.S. national debt was $2.9617×1013
in 2021 and $3.98×1011
in 1971. Find how much the debt increased in the 50-year period.
Responses
$1.0183×1024
1 point 0 1 8 3 dollars times 10 to the 24th power - no response given
$2.9219×1013
2 point 9 2 1 9 dollars times 10 to the 13th power - not selected, this is the correct answer
$3.0015×1013
3 point 0 0 1 5 dollars times 10 to the 13th power - incorrect
$2.9219×1011
To find the increase in the U.S. national debt over the 50-year period, we need to subtract the debt in 1971 from the debt in 2021.
Subtracting:
$2.9617×10^13 - $3.98×10^11 ≈ $2.9219×10^13
Therefore, the increase in the U.S. national debt over the 50-year period is approximately $2.9219×10^13.
China and India are the most populous countries in the world. China’s population is approximately 1.45×109
, while India’s population is approximately 1,400,000,000. How many more people live in China than in India?
Responses
5×1010
5 times 10 to the 10th power - no response given
5×109
5 times 10 to the 9th power - no response given
5×107
5 times 10 to the 7th power - not selected, this is the correct answer
5×108
To find the difference in population between China and India, we need to subtract India's population from China's population.
China's population: 1.45×10^9
India's population: 1,400,000,000
Subtracting:
1.45×10^9 - 1,400,000,000 ≈ 5×10^7
Therefore, there are approximately 50 million more people living in China than in India. The correct answer is 5×10^7.