Question
Subtract 4.66×10−5−7.34×10−7 (1 point)
Responses
2.68×102
2.68 times 10 squared
−2.68×102
negative 2.68 times 10 squared
−4.5866×10−5
negative 4.5866 times 10 superscript negative 5 baseline
4.5866×10−5
Responses
2.68×102
2.68 times 10 squared
−2.68×102
negative 2.68 times 10 squared
−4.5866×10−5
negative 4.5866 times 10 superscript negative 5 baseline
4.5866×10−5
Answers
Answer
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. (1 point)
Responses
$2.9219×1011
2.9219 dollars times 10 superscript 11 baseline
$3.0015×1013
3.0015 dollars times 10 superscript 13 baseline
$1.0183×1024
1.0183 dollars times 10 superscript 24 baseline
$2.9219×1013
Responses
$2.9219×1011
2.9219 dollars times 10 superscript 11 baseline
$3.0015×1013
3.0015 dollars times 10 superscript 13 baseline
$1.0183×1024
1.0183 dollars times 10 superscript 24 baseline
$2.9219×1013
Answer
The size of a hydrogen atom is about 1.2×10−10 m across. The size of an oxygen atom is 0.000000000152 m across. What is the difference between the sizes of these atoms in scientific notation?(1 point)
Responses
2.72×10−10 m
2.72 times 10 superscript negative 10 baseline m
3.2×10−9 m
3.2 times 10 superscript negative 9 baseline m
3.2 ×10−10 m
3.2 times 10 superscript negative 10 baseline m
3.2×10−11 m
Responses
2.72×10−10 m
2.72 times 10 superscript negative 10 baseline m
3.2×10−9 m
3.2 times 10 superscript negative 9 baseline m
3.2 ×10−10 m
3.2 times 10 superscript negative 10 baseline m
3.2×10−11 m
Answer
Platelets and red blood cells are components of the blood. A typical platelet and red blood cell have diameters of approximately 2.33×10−6 m and 0.0000075 m, respectively. Which blood component has a bigger diameter, and approximately by how much?(1 point)
Responses
A platelet has a bigger diameter than a red blood cell by 9.83×10−6 m.
A platelet has a bigger diameter than a red blood cell by 9.83 times 10 superscript negative 6 baseline m.
A red blood cell has a bigger diameter than a platelet by 9.83×10−6 m.
A red blood cell has a bigger diameter than a platelet by 9.83 times 10 superscript negative 6 baseline m.
A red blood cell has a bigger diameter than a platelet by 5.17×10−6 m.
A red blood cell has a bigger diameter than a platelet by 5.17 times 10 superscript negative 6 baseline m.
A platelet has a bigger diameter than a red blood cell by 5.17×10−6 m.
A platelet has a bigger diameter than a red blood cell by 5.17 times 10 superscript negative 6 baseline m.
Responses
A platelet has a bigger diameter than a red blood cell by 9.83×10−6 m.
A platelet has a bigger diameter than a red blood cell by 9.83 times 10 superscript negative 6 baseline m.
A red blood cell has a bigger diameter than a platelet by 9.83×10−6 m.
A red blood cell has a bigger diameter than a platelet by 9.83 times 10 superscript negative 6 baseline m.
A red blood cell has a bigger diameter than a platelet by 5.17×10−6 m.
A red blood cell has a bigger diameter than a platelet by 5.17 times 10 superscript negative 6 baseline m.
A platelet has a bigger diameter than a red blood cell by 5.17×10−6 m.
A platelet has a bigger diameter than a red blood cell by 5.17 times 10 superscript negative 6 baseline m.
Answer
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?(1 point)
Responses
5×1010
5 times 10 superscript 10 baseline
5×109
5 times 10 superscript 9 baseline
5×108
5 times 10 superscript 8 baseline
5×107
Responses
5×1010
5 times 10 superscript 10 baseline
5×109
5 times 10 superscript 9 baseline
5×108
5 times 10 superscript 8 baseline
5×107
Answered by
GPT-4o mini
To subtract \( 4.66 \times 10^{-5} \) and \( 7.34 \times 10^{-7} \), we first need to express them with a common exponent.
The first number is \( 4.66 \times 10^{-5} \) and the second number can be written in the same exponent form:
1. Convert \( 7.34 \times 10^{-7} \) to the \( 10^{-5} \) form:
\[
7.34 \times 10^{-7} = 0.0734 \times 10^{-5}
\]
Now we can perform the subtraction:
\[
4.66 \times 10^{-5} - 0.0734 \times 10^{-5} = (4.66 - 0.0734) \times 10^{-5} = 4.5866 \times 10^{-5}
\]
Thus, the final result is:
\[
\boxed{4.5866 \times 10^{-5}}
\]
The first number is \( 4.66 \times 10^{-5} \) and the second number can be written in the same exponent form:
1. Convert \( 7.34 \times 10^{-7} \) to the \( 10^{-5} \) form:
\[
7.34 \times 10^{-7} = 0.0734 \times 10^{-5}
\]
Now we can perform the subtraction:
\[
4.66 \times 10^{-5} - 0.0734 \times 10^{-5} = (4.66 - 0.0734) \times 10^{-5} = 4.5866 \times 10^{-5}
\]
Thus, the final result is:
\[
\boxed{4.5866 \times 10^{-5}}
\]
Answered by
GPT-4o mini
To find out how much the U.S. national debt increased from 1971 to 2021, we need to perform the following calculation:
1. **Identify the values:**
- National debt in 2021: \( 2.9617 \times 10^{13} \)
- National debt in 1971: \( 3.98 \times 10^{11} \)
2. **Convert both values to a common power of ten:**
- \( 3.98 \times 10^{11} \) can be expressed with a power of ten of \( 10^{13} \) by adjusting its coefficient:
\[
3.98 \times 10^{11} = 0.0398 \times 10^{13}
\]
3. **Perform the subtraction:**
\[
2.9617 \times 10^{13} - 0.0398 \times 10^{13} = (2.9617 - 0.0398) \times 10^{13}
\]
\[
= 2.9219 \times 10^{13}
\]
The increase in the national debt over the 50-year period is:
\[
\boxed{2.9219 \times 10^{13}}
\]
1. **Identify the values:**
- National debt in 2021: \( 2.9617 \times 10^{13} \)
- National debt in 1971: \( 3.98 \times 10^{11} \)
2. **Convert both values to a common power of ten:**
- \( 3.98 \times 10^{11} \) can be expressed with a power of ten of \( 10^{13} \) by adjusting its coefficient:
\[
3.98 \times 10^{11} = 0.0398 \times 10^{13}
\]
3. **Perform the subtraction:**
\[
2.9617 \times 10^{13} - 0.0398 \times 10^{13} = (2.9617 - 0.0398) \times 10^{13}
\]
\[
= 2.9219 \times 10^{13}
\]
The increase in the national debt over the 50-year period is:
\[
\boxed{2.9219 \times 10^{13}}
\]
Answered by
GPT-4o mini
To find the difference between the sizes of a hydrogen atom (\(1.2 \times 10^{-10} \, \text{m}\)) and an oxygen atom (\(0.000000000152 \, \text{m}\)), we first convert the size of the oxygen atom into scientific notation.
1. **Convert the size of the oxygen atom:**
\[
0.000000000152 \, \text{m} = 1.52 \times 10^{-10} \, \text{m}
\]
2. **Now, find the difference between the sizes of the hydrogen and oxygen atoms:**
- Hydrogen atom size: \(1.2 \times 10^{-10} \, \text{m}\)
- Oxygen atom size: \(1.52 \times 10^{-10} \, \text{m}\)
3. **Perform the subtraction:**
\[
1.2 \times 10^{-10} \, \text{m} - 1.52 \times 10^{-10} \, \text{m} = (1.2 - 1.52) \times 10^{-10}
\]
\[
= -0.32 \times 10^{-10}
\]
4. **Convert the result into proper scientific notation:**
\[
-0.32 \times 10^{-10} = -3.2 \times 10^{-11} \, \text{m}
\]
Thus, the difference between the sizes of the hydrogen and oxygen atoms is:
\[
\boxed{-3.2 \times 10^{-11} \, \text{m}}
\]
(Note: If the question intends for the absolute difference or simply the difference irrespective of sign, just take \(3.2 \times 10^{-11} \, \text{m}\).)
1. **Convert the size of the oxygen atom:**
\[
0.000000000152 \, \text{m} = 1.52 \times 10^{-10} \, \text{m}
\]
2. **Now, find the difference between the sizes of the hydrogen and oxygen atoms:**
- Hydrogen atom size: \(1.2 \times 10^{-10} \, \text{m}\)
- Oxygen atom size: \(1.52 \times 10^{-10} \, \text{m}\)
3. **Perform the subtraction:**
\[
1.2 \times 10^{-10} \, \text{m} - 1.52 \times 10^{-10} \, \text{m} = (1.2 - 1.52) \times 10^{-10}
\]
\[
= -0.32 \times 10^{-10}
\]
4. **Convert the result into proper scientific notation:**
\[
-0.32 \times 10^{-10} = -3.2 \times 10^{-11} \, \text{m}
\]
Thus, the difference between the sizes of the hydrogen and oxygen atoms is:
\[
\boxed{-3.2 \times 10^{-11} \, \text{m}}
\]
(Note: If the question intends for the absolute difference or simply the difference irrespective of sign, just take \(3.2 \times 10^{-11} \, \text{m}\).)
Answered by
GPT-4o mini
To determine which blood component has a bigger diameter and by how much, let's compare the diameters of the platelet and red blood cell.
1. **Diameters of the components:**
- Diameter of a platelet: \( 2.33 \times 10^{-6} \, \text{m} \)
- Diameter of a red blood cell: \( 0.0000075 \, \text{m} \)
2. **Convert the diameter of the red blood cell to scientific notation:**
\[
0.0000075 \, \text{m} = 7.5 \times 10^{-6} \, \text{m}
\]
3. **Compare the two diameters:**
- Platelet: \( 2.33 \times 10^{-6} \, \text{m} \)
- Red blood cell: \( 7.5 \times 10^{-6} \, \text{m} \)
Since \( 7.5 \times 10^{-6} \, \text{m} \) (red blood cell) is greater than \( 2.33 \times 10^{-6} \, \text{m} \) (platelet), the red blood cell has a bigger diameter.
4. **Calculate the difference in diameters:**
\[
7.5 \times 10^{-6} \, \text{m} - 2.33 \times 10^{-6} \, \text{m} = (7.5 - 2.33) \times 10^{-6}
\]
\[
= 5.17 \times 10^{-6} \, \text{m}
\]
Therefore, a red blood cell has a bigger diameter than a platelet by approximately \( 5.17 \times 10^{-6} \, \text{m} \).
So the correct response is:
\[
\boxed{\text{A red blood cell has a bigger diameter than a platelet by } 5.17 \times 10^{-6} \, \text{m.}}
\]
1. **Diameters of the components:**
- Diameter of a platelet: \( 2.33 \times 10^{-6} \, \text{m} \)
- Diameter of a red blood cell: \( 0.0000075 \, \text{m} \)
2. **Convert the diameter of the red blood cell to scientific notation:**
\[
0.0000075 \, \text{m} = 7.5 \times 10^{-6} \, \text{m}
\]
3. **Compare the two diameters:**
- Platelet: \( 2.33 \times 10^{-6} \, \text{m} \)
- Red blood cell: \( 7.5 \times 10^{-6} \, \text{m} \)
Since \( 7.5 \times 10^{-6} \, \text{m} \) (red blood cell) is greater than \( 2.33 \times 10^{-6} \, \text{m} \) (platelet), the red blood cell has a bigger diameter.
4. **Calculate the difference in diameters:**
\[
7.5 \times 10^{-6} \, \text{m} - 2.33 \times 10^{-6} \, \text{m} = (7.5 - 2.33) \times 10^{-6}
\]
\[
= 5.17 \times 10^{-6} \, \text{m}
\]
Therefore, a red blood cell has a bigger diameter than a platelet by approximately \( 5.17 \times 10^{-6} \, \text{m} \).
So the correct response is:
\[
\boxed{\text{A red blood cell has a bigger diameter than a platelet by } 5.17 \times 10^{-6} \, \text{m.}}
\]
Answered by
GPT-4o mini
To find out how many more people live in China than in India, we need to perform the subtraction of their populations.
1. **Convert the populations into scientific notation:**
- China's population: \( 1.45 \times 10^{9} \)
- India’s population: \( 1,400,000,000 \) can be expressed as \( 1.4 \times 10^{9} \).
2. **Now perform the subtraction:**
\[
1.45 \times 10^{9} - 1.4 \times 10^{9} = (1.45 - 1.4) \times 10^{9}
\]
\[
= 0.05 \times 10^{9} = 5.0 \times 10^{7}
\]
Thus, the difference in population, indicating that China has approximately \( 5 \times 10^{7} \) more people than India. Therefore, the correct response is:
\[
\boxed{5 \times 10^{7}}
\]
1. **Convert the populations into scientific notation:**
- China's population: \( 1.45 \times 10^{9} \)
- India’s population: \( 1,400,000,000 \) can be expressed as \( 1.4 \times 10^{9} \).
2. **Now perform the subtraction:**
\[
1.45 \times 10^{9} - 1.4 \times 10^{9} = (1.45 - 1.4) \times 10^{9}
\]
\[
= 0.05 \times 10^{9} = 5.0 \times 10^{7}
\]
Thus, the difference in population, indicating that China has approximately \( 5 \times 10^{7} \) more people than India. Therefore, the correct response is:
\[
\boxed{5 \times 10^{7}}
\]
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