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.
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To find the increase in the national debt over a 50-year period, we subtract the debt in 1971 from the debt in 2021.
Debt increase = Debt in 2021 - Debt in 1971
Debt increase = $2.9617 \times 10^{13} - $3.98 \times 10^{11}
To subtract these values, we need to have them in the same scientific notation. In this case, we can convert $3.98 \times 10^{11}$ to $0.398 \times 10^{13}$.
Debt increase = $2.9617 \times 10^{13} - 0.398 \times 10^{13}$
Now, we can subtract the values:
Debt increase = $(2.9617 - 0.398) \times 10^{13}$
Simplifying the calculation:
Debt increase = $2.5637 \times 10^{13}$
Therefore, the national debt increased by $2.5637 \times 10^{13}$ during the 50-year period.
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 × 10^11
$2.9219 × 10^13
$1.0183 x 10^24
$3.0015 x 10^13
The size of a hydrogen atom is about 1.2 x 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)
3.2 × 10^-11 m
2.72 x 10^-10 m
3.2 × 10^-10 m
3.2 × 10^-9 m
To find the difference between the sizes of the hydrogen and oxygen atoms, we subtract the size of the hydrogen atom from the size of the oxygen atom.
Difference = Size of oxygen atom - Size of hydrogen atom
Difference = 0.000000000152 m - 1.2 x 10^-10 m
Calculating this difference:
Difference = 0.000000000152 m - 0.00000000012 m = 0.000000000032 m
To express this difference in scientific notation, we write it as:
Difference = 3.2 x 10^-11 m
Therefore, the correct answer is 3.2 x 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 x 10^-6 m and 0.0000075 m, respectively. Which blood component has a bigger diameter, and approximately by how much? (1 point)
A platelet has a bigger diameter than a red blood cell by 5.17 x 10^-6 m.
A red blood cell has a bigger diameter than a platelet by 5.17 x 10^-6 m.
A red blood cell has a bigger diameter than a platelet by 9.83 x 10^6 m.
A platelet has a bigger diameter than a red blood cell by 9.83 x 10^-6 m.
To determine which blood component has a bigger diameter and the approximate difference, we need to compare the diameters of a platelet and a red blood cell.
The diameter of a platelet is given as 2.33 x 10^-6 m.
The diameter of a red blood cell is given as 0.0000075 m.
To compare the diameters, we subtract the diameter of the platelet from the diameter of the red blood cell:
Difference = Diameter of red blood cell - Diameter of platelet
Difference = 0.0000075 m - 2.33 x 10^-6 m
Calculating the difference:
Difference = 0.0000075 m - 0.00000233 m = 0.00000517 m
To express the difference in scientific notation, we write it as:
Difference = 5.17 x 10^-6 m
Therefore, the correct answer is: A platelet has a bigger diameter than a red blood cell by 5.17 x 10^-6 m.
China and India are the most populous countries in the world. China's population is approximately 1.45 x 10^9, while India's population is approximately 1,400,000,000. How many more people live in China than in India? (1 point)
5 × 10^7
5 × 10^8
5 × 10^10
5 × 10^9
To find out how many more people live in China than in India, we subtract India's population from China's population.
Difference = China's population - India's population
Difference = 1.45 x 10^9 - 1,400,000,000
We need to convert the population of India from standard form to scientific notation:
Difference = 1.45 x 10^9 - 1.4 x 10^9
Calculating the difference:
Difference = 0.05 x 10^9 = 5 x 10^8
Therefore, the correct answer is: 5 x 10^8.
To find how much the debt increased in the 50-year period, we need to subtract the debt in 1971 from the debt in 2021.
Debt increase = Debt in 2021 - Debt in 1971
Debt increase = $2.9617 \times 10^{13} - $3.98 \times 10^{11}
Calculating this:
Debt increase = $2.9617 \times 10^{13} - 0.398 \times 10^{13} = $2.5637 \times 10^{13}
Therefore, the correct answer is $2.5637 \times 10^{13}.