Subtract 4.66×10^−5 − 7.34×10^−7
−2.68×10^2
−4.5866×10^−5
4.5866×10^−5
2.68×10^2
25 answers
The correct answer is 4.5866×10^−5
The U.S. national debt was $2.9617×10^13 in 2021 and $3.98×10^11 in 1971. Find how much the debt increased in the 50-year period.
$2.9219×10^13
$2.9219×10^11
$3.0015×10^13
$1.0183×10^24
$2.9219×10^13
$2.9219×10^11
$3.0015×10^13
$1.0183×10^24
To find the increase in the debt over the 50-year period, we subtract the initial debt from the final debt.
Final debt: $2.9617×10^13
Initial debt: $3.98×10^11
Subtracting the initial debt from the final debt gives us:
(final debt) - (initial debt) = ($2.9617×10^13) - ($3.98×10^11)
To subtract the debt expressed in scientific notation, the exponents must be the same. We can achieve this by converting the initial debt to scientific notation with an exponent of 13. Thus:
($2.9617×10^13) - ($3.98×10^11) = ($2.9617×10^13) - ($0.398×10^13)
Now we can subtract the two debts:
($2.9617×10^13) - ($0.398×10^13) = $2.5637×10^13
So, the debt increased by $2.5637×10^13 over the 50-year period.
Final debt: $2.9617×10^13
Initial debt: $3.98×10^11
Subtracting the initial debt from the final debt gives us:
(final debt) - (initial debt) = ($2.9617×10^13) - ($3.98×10^11)
To subtract the debt expressed in scientific notation, the exponents must be the same. We can achieve this by converting the initial debt to scientific notation with an exponent of 13. Thus:
($2.9617×10^13) - ($3.98×10^11) = ($2.9617×10^13) - ($0.398×10^13)
Now we can subtract the two debts:
($2.9617×10^13) - ($0.398×10^13) = $2.5637×10^13
So, the debt increased by $2.5637×10^13 over the 50-year period.
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?
A. 3.2 ×10^−10 m
B. 2.72×10^−10 m
C. 3.2×10^−11 m
D. 3.2×10^−9 m
A. 3.2 ×10^−10 m
B. 2.72×10^−10 m
C. 3.2×10^−11 m
D. 3.2×10^−9 m
To find the difference between the sizes of these atoms, we need to subtract the size of the hydrogen atom from the size of the oxygen atom.
Size of hydrogen atom: 1.2×10^−10 m
Size of oxygen atom: 0.000000000152 m
To subtract the sizes expressed in scientific notation, the exponents must be the same. We can achieve this by converting the size of the hydrogen atom to scientific notation with an exponent of -10. Thus:
1.2×10^−10 m
Now we can subtract the sizes:
0.000000000152 m - 1.2×10^−10 m = 0.000000000152 m - 0.00000000012 m
Now we can calculate the difference:
0.000000000032 m
The difference between the sizes of these atoms in scientific notation is 3.2×10^−11 m.
Therefore, the correct answer is C. 3.2×10^−11 m.
Size of hydrogen atom: 1.2×10^−10 m
Size of oxygen atom: 0.000000000152 m
To subtract the sizes expressed in scientific notation, the exponents must be the same. We can achieve this by converting the size of the hydrogen atom to scientific notation with an exponent of -10. Thus:
1.2×10^−10 m
Now we can subtract the sizes:
0.000000000152 m - 1.2×10^−10 m = 0.000000000152 m - 0.00000000012 m
Now we can calculate the difference:
0.000000000032 m
The difference between the sizes of these atoms in scientific notation is 3.2×10^−11 m.
Therefore, the correct answer is C. 3.2×10^−11 m.
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?
A. A red blood cell has a bigger diameter than a platelet by 9.83×10^−6 m.
B. A platelet has a bigger diameter than a red blood cell by 5.17×10^−6 m.
C. A platelet has a bigger diameter than a red blood cell by 9.83×10^−6 m.
D. A red blood cell has a bigger diameter than a platelet by 5.17×10^−6 m.
A. A red blood cell has a bigger diameter than a platelet by 9.83×10^−6 m.
B. A platelet has a bigger diameter than a red blood cell by 5.17×10^−6 m.
C. A platelet has a bigger diameter than a red blood cell by 9.83×10^−6 m.
D. A red blood cell has a bigger diameter than a platelet by 5.17×10^−6 m.
To compare the diameters of the platelet and red blood cell, we need to subtract the diameter of the platelet from the diameter of the red blood cell.
Diameter of platelet: 2.33×10^−6 m
Diameter of red blood cell: 0.0000075 m
To subtract the diameters expressed in scientific notation, the exponents must be the same. We can achieve this by converting the diameter of the platelet to scientific notation with an exponent of -6. Thus:
Diameter of platelet: 2.33×10^−6 m
Diameter of red blood cell: 7.5×10^-6 m
Now we can subtract the diameters:
Diameter of red blood cell - Diameter of platelet = 7.5×10^-6 m - 2.33×10^−6 m
= 7.5×10^-6 m - (2.33/100) ×10^−6 m
= 7.5×10^-6 m - 0.0233×10^−6 m
= 0.4767×10^-6 m
= 4.767×10^-7 m
So, a red blood cell has a bigger diameter than a platelet by approximately 4.767×10^-7 m.
Therefore, the correct answer is not among the given options.
Diameter of platelet: 2.33×10^−6 m
Diameter of red blood cell: 0.0000075 m
To subtract the diameters expressed in scientific notation, the exponents must be the same. We can achieve this by converting the diameter of the platelet to scientific notation with an exponent of -6. Thus:
Diameter of platelet: 2.33×10^−6 m
Diameter of red blood cell: 7.5×10^-6 m
Now we can subtract the diameters:
Diameter of red blood cell - Diameter of platelet = 7.5×10^-6 m - 2.33×10^−6 m
= 7.5×10^-6 m - (2.33/100) ×10^−6 m
= 7.5×10^-6 m - 0.0233×10^−6 m
= 0.4767×10^-6 m
= 4.767×10^-7 m
So, a red blood cell has a bigger diameter than a platelet by approximately 4.767×10^-7 m.
Therefore, the correct answer is not among the given options.
Try again
Apologies for the incorrect response. Let's compare the diameters of the platelet and red blood cell again.
Diameter of platelet: 2.33×10^−6 m
Diameter of red blood cell: 0.0000075 m
To compare the diameters, we can convert the diameter of the platelet to the same units (meters) as the red blood cell:
Diameter of platelet: 2.33×10^−6 m
Diameter of red blood cell: 7.5×10^−6 m
Comparing the diameters, we can see that the red blood cell has a bigger diameter than the platelet.
To find the difference:
Diameter of red blood cell - Diameter of platelet = 7.5×10^−6 m - 2.33×10^−6 m
= 7.5×10^−6 m - 2.33×10^−6 m
= 5.17×10^−6 m
Therefore, a red blood cell has a bigger diameter than a platelet by approximately 5.17×10^−6 m.
The correct answer is B. A platelet has a bigger diameter than a red blood cell by 5.17×10^−6 m.
Diameter of platelet: 2.33×10^−6 m
Diameter of red blood cell: 0.0000075 m
To compare the diameters, we can convert the diameter of the platelet to the same units (meters) as the red blood cell:
Diameter of platelet: 2.33×10^−6 m
Diameter of red blood cell: 7.5×10^−6 m
Comparing the diameters, we can see that the red blood cell has a bigger diameter than the platelet.
To find the difference:
Diameter of red blood cell - Diameter of platelet = 7.5×10^−6 m - 2.33×10^−6 m
= 7.5×10^−6 m - 2.33×10^−6 m
= 5.17×10^−6 m
Therefore, a red blood cell has a bigger diameter than a platelet by approximately 5.17×10^−6 m.
The correct answer is B. A platelet has a bigger diameter than a red blood cell by 5.17×10^−6 m.
China and India are the most populous countries in the world. China’s population is approximately 1.45×10^9, while India’s population is approximately 1,400,000,000. How many more people live in China than in India?
A. 5×10^9
B. 5×10^10
C. 5×10^7
D. 5×10^8
A. 5×10^9
B. 5×10^10
C. 5×10^7
D. 5×10^8
To find out how many more people live in China than in India, we need to subtract the population of India from the population of China.
Population of China: 1.45×10^9
Population of India: 1,400,000,000
To subtract these populations, we can convert the population of India to scientific notation with an exponent of 9 to match the exponent in the population of China:
Population of China: 1.45×10^9
Population of India: 1.4×10^9
Now let's subtract the populations:
Population of China - Population of India = 1.45×10^9 - 1.4×10^9
= 0.05×10^9
= 5×10^8
Therefore, there are 5×10^8 (500,000,000) more people living in China than in India.
The correct answer is D. 5×10^8
Population of China: 1.45×10^9
Population of India: 1,400,000,000
To subtract these populations, we can convert the population of India to scientific notation with an exponent of 9 to match the exponent in the population of China:
Population of China: 1.45×10^9
Population of India: 1.4×10^9
Now let's subtract the populations:
Population of China - Population of India = 1.45×10^9 - 1.4×10^9
= 0.05×10^9
= 5×10^8
Therefore, there are 5×10^8 (500,000,000) more people living in China than in India.
The correct answer is D. 5×10^8
Calculate 6.25 × 10^6 − 4.73 × 10^6. Express your answer in scientific notation to 2 decimal places.
To subtract these numbers, we can subtract the coefficients and keep the same exponent:
6.25 × 10^6 − 4.73 × 10^6 = 1.52 × 10^6
Expressing the answer in scientific notation to 2 decimal places, we have:
1.52 × 10^6
6.25 × 10^6 − 4.73 × 10^6 = 1.52 × 10^6
Expressing the answer in scientific notation to 2 decimal places, we have:
1.52 × 10^6
The average distance from Earth to Mars is 2.25×10^8 km, and the distance from Earth to Neptune is 4.3514×10^9 km. How much farther is Neptune from Earth than Mars? Express your answer in scientific notation. Do not round your answer.
To find out how much farther Neptune is from Earth than Mars, we need to subtract the distance from Mars from the distance from Neptune.
Distance from Earth to Mars: 2.25×10^8 km
Distance from Earth to Neptune: 4.3514×10^9 km
To subtract these distances, we can convert both distances to scientific notation with the same exponent. Let's convert the distance from Mars to scientific notation with an exponent of 9:
Distance from Earth to Mars: 2.25×10^8 km
Distance from Earth to Neptune: 4.3514×10^9 km
Now we can subtract the distances:
Distance from Earth to Neptune - Distance from Earth to Mars = 4.3514×10^9 km - 2.25×10^8 km
= 4.3514×10^9 km - 0.225×10^9 km
= 4.1264×10^9 km
Therefore, Neptune is approximately 4.1264×10^9 km farther from Earth than Mars.
Answer: 4.1264×10^9 km
Distance from Earth to Mars: 2.25×10^8 km
Distance from Earth to Neptune: 4.3514×10^9 km
To subtract these distances, we can convert both distances to scientific notation with the same exponent. Let's convert the distance from Mars to scientific notation with an exponent of 9:
Distance from Earth to Mars: 2.25×10^8 km
Distance from Earth to Neptune: 4.3514×10^9 km
Now we can subtract the distances:
Distance from Earth to Neptune - Distance from Earth to Mars = 4.3514×10^9 km - 2.25×10^8 km
= 4.3514×10^9 km - 0.225×10^9 km
= 4.1264×10^9 km
Therefore, Neptune is approximately 4.1264×10^9 km farther from Earth than Mars.
Answer: 4.1264×10^9 km
Human hair grows at a rate of about 6.849×10^−4 cm per hour to 2.329×10^−2 cm per hour. The rate depends on gender, genetics, age, and health. Find the difference between the high end and the low end of the range. Express your answer in scientific notation. Do not round your answer.
To find the difference between the high end and low end of the range, we subtract the low end from the high end.
High end of the range: 2.329×10^−2 cm per hour
Low end of the range: 6.849×10^−4 cm per hour
Subtracting the low end from the high end gives us:
High end - Low end = 2.329×10^−2 cm per hour - 6.849×10^−4 cm per hour
= 2.329×10^-2 cm per hour - 0.006849×10^-2 cm per hour
= 2.322151×10^-2 cm per hour
Therefore, the difference between the high end and low end of the range is approximately 2.322151×10^-2 cm per hour.
High end of the range: 2.329×10^−2 cm per hour
Low end of the range: 6.849×10^−4 cm per hour
Subtracting the low end from the high end gives us:
High end - Low end = 2.329×10^−2 cm per hour - 6.849×10^−4 cm per hour
= 2.329×10^-2 cm per hour - 0.006849×10^-2 cm per hour
= 2.322151×10^-2 cm per hour
Therefore, the difference between the high end and low end of the range is approximately 2.322151×10^-2 cm per hour.
Try again.
To find the difference between the high end and low end of the range, we subtract the low end from the high end.
High end of the range: 2.329×10^−2 cm per hour
Low end of the range: 6.849×10^−4 cm per hour
Subtracting the low end from the high end gives us:
High end - Low end = 2.329×10^−2 cm per hour - 6.849×10^−4 cm per hour
To subtract the values expressed in scientific notation, the exponents must be the same. Let's convert the low end value to have the same exponent as the high end value (10^-2):
High end - Low end = 2.329×10^−2 cm per hour - 0.06849×10^−2 cm per hour
= 2.329×10^-2 cm per hour - 6.849×10^-3 cm per hour
= 2.329×10^-2 cm per hour - 0.006849×10^-2 cm per hour
= 2.322151×10^-2 cm per hour
Therefore, the difference between the high end and low end of the range is approximately 2.322151×10^-2 cm per hour.
High end of the range: 2.329×10^−2 cm per hour
Low end of the range: 6.849×10^−4 cm per hour
Subtracting the low end from the high end gives us:
High end - Low end = 2.329×10^−2 cm per hour - 6.849×10^−4 cm per hour
To subtract the values expressed in scientific notation, the exponents must be the same. Let's convert the low end value to have the same exponent as the high end value (10^-2):
High end - Low end = 2.329×10^−2 cm per hour - 0.06849×10^−2 cm per hour
= 2.329×10^-2 cm per hour - 6.849×10^-3 cm per hour
= 2.329×10^-2 cm per hour - 0.006849×10^-2 cm per hour
= 2.322151×10^-2 cm per hour
Therefore, the difference between the high end and low end of the range is approximately 2.322151×10^-2 cm per hour.
Find 0.078−(5.2×10^−3). Express your answer in scientific notation. Do not round your answer.(1 point
To subtract these values, we can convert 0.078 to scientific notation with an exponent of -1 to match the exponent in 5.2 × 10^-3:
0.078 = 7.8 × 10^-2
Now we can perform the subtraction:
7.8 × 10^-2 - 5.2 × 10^-3 = 7.8 × 10^-2 - 0.52 × 10^-2
= (7.8 - 0.52) × 10^-2
= 7.28 × 10^-2
Therefore, the difference between 0.078 and (5.2 × 10^-3) is approximately 7.28 × 10^-2.
0.078 = 7.8 × 10^-2
Now we can perform the subtraction:
7.8 × 10^-2 - 5.2 × 10^-3 = 7.8 × 10^-2 - 0.52 × 10^-2
= (7.8 - 0.52) × 10^-2
= 7.28 × 10^-2
Therefore, the difference between 0.078 and (5.2 × 10^-3) is approximately 7.28 × 10^-2.
Earth’s radius is approximately 3,959 miles, while Jupiter’s radius is approximately 4.3441×10^4 miles. How much bigger is Jupiter’s radius compared to Earth’s? Express your answer in scientific notation. Do not round your answer.
To find out how much bigger Jupiter's radius is compared to Earth's, we need to subtract Earth's radius from Jupiter's radius.
Radius of Earth: 3,959 miles
Radius of Jupiter: 4.3441×10^4 miles
Let's subtract the radius of Earth from the radius of Jupiter:
Radius of Jupiter - Radius of Earth = 4.3441×10^4 miles - 3,959 miles
= 4.3441×10^4 miles - 3.959×10^3 miles
= 4.3441×10^4 miles - 3.959×10^4 miles
= 0.3851×10^4 miles
= 3.851×10^3 miles
Therefore, Jupiter's radius is approximately 3.851×10^3 miles bigger than Earth's radius.
Answer: 3.851×10^3 miles
Radius of Earth: 3,959 miles
Radius of Jupiter: 4.3441×10^4 miles
Let's subtract the radius of Earth from the radius of Jupiter:
Radius of Jupiter - Radius of Earth = 4.3441×10^4 miles - 3,959 miles
= 4.3441×10^4 miles - 3.959×10^3 miles
= 4.3441×10^4 miles - 3.959×10^4 miles
= 0.3851×10^4 miles
= 3.851×10^3 miles
Therefore, Jupiter's radius is approximately 3.851×10^3 miles bigger than Earth's radius.
Answer: 3.851×10^3 miles
Wrong answer
To find how much bigger Jupiter's radius is compared to Earth's, we need to subtract Earth's radius from Jupiter's radius.
Radius of Earth: 3,959 miles
Radius of Jupiter: 4.3441×10^4 miles
Subtracting the radius of Earth from the radius of Jupiter:
Radius of Jupiter - Radius of Earth = 4.3441×10^4 miles - 3,959 miles
= 4.3441×10^4 miles - 3.959×10^3 miles
= 4.3441×10^4 miles - 0.3959×10^4 miles
= 3.9482×10^4 miles
Therefore, Jupiter's radius is approximately 3.9482×10^4 miles bigger than Earth's radius.
Answer: 3.9482×10^4 miles
Radius of Earth: 3,959 miles
Radius of Jupiter: 4.3441×10^4 miles
Subtracting the radius of Earth from the radius of Jupiter:
Radius of Jupiter - Radius of Earth = 4.3441×10^4 miles - 3,959 miles
= 4.3441×10^4 miles - 3.959×10^3 miles
= 4.3441×10^4 miles - 0.3959×10^4 miles
= 3.9482×10^4 miles
Therefore, Jupiter's radius is approximately 3.9482×10^4 miles bigger than Earth's radius.
Answer: 3.9482×10^4 miles
1 answer