Subtract 4.66 × 10^(−5) − 7.34 × 10^−7 (1 point)
Responses
−2.68 × 10^2
negative 2.68 times 10 squared
4.5866 × 10^−5
4.5866 times 10 superscript negative 5 baseline
2.68 × 10^2
2.68 times 10 squared
−4.5866 × 10^−5
negative 4.5866 times 10 superscript negative 5 baseline
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. (1 point)
Responses
$2.9219×1011
2.9219 dollars times 10 superscript 11 baseline
$2.9219×1013
2.9219 dollars times 10 superscript 13 baseline
$1.0183×1024
1.0183 dollars times 10 superscript 24 baseline
$3.0015 × 10^13
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 = $2.9617 × 10^13 - $3.98 × 10^11
Simplifying the calculation, we get:
Debt increase = $2.9617 × 10^13 - $0.398 × 10^13 = $2.9219 × 10^13
Therefore, the correct response is:
$2.9219 × 10^13
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
3.2×10−11 m
3.2 times 10 superscript negative 11 baseline m
3.2 ×10−10 m
3.2 times 10 superscript negative 10 baseline m
3.2×10−9 m
3.2 times 10 superscript negative 9 baseline m
2.72×10−10 m
2.72 times 10 superscript negative 10 baseline m
To find the difference between the sizes of the hydrogen and oxygen atoms, we need to subtract the size of the hydrogen atom from the size of the oxygen atom.
Difference = 0.000000000152 m - 1.2 × 10^(-10) m
Simplifying the calculation, we get:
Difference = 0.000000000152 m - 0.00000000012 m = 0.000000000032 m
Expressed in scientific notation, this is:
3.2 × 10^(-11) m
Therefore, the correct response is:
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?(1 point)
Responses
a) A platelet has a bigger diameter than a red blood cell by 9.83 × 10^(−6) m.
b) A red blood cell has a bigger diameter than a platelet by 9.83 × 10^(−6) m.
c) A platelet has a bigger diameter than a red blood cell by 5.17 x 10^(−6) m.
d) A red blood cell has a bigger diameter than a platelet by 5.17 × 10^(−6) m.
To determine which blood component has a bigger diameter, we need to compare the diameters of the platelet and red blood cell.
Platelet diameter: 2.33 × 10^(-6) m
Red Blood Cell diameter: 0.0000075 m
Comparing these values, we can see that the diameter of a red blood cell is larger than that of a platelet.
To find the difference in diameter, we subtract the diameter of the platelet from the diameter of the red blood cell:
Difference = 0.0000075 m - 2.33 × 10^(-6) m
Simplifying the calculation, we get:
Difference = 0.0000075 m - 0.00000233 m = 0.00000517 m
Expressed in scientific notation, this is:
5.17 × 10^(-6) m
Therefore, the correct response is:
c) 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?(1 point)
Responses
a) 5 × 10^7
5 times 10 superscript 7 baseline
b) 5 × 10^8
5 times 10 superscript 8 baseline
c) 5 × 10^9
5 times 10 superscript 9 baseline
d) 5 × 10^10
To find how many more people live in China than in India, we need to subtract the population of India from the population of China.
China's population: 1.45 × 10^9
India's population: 1,400,000,000
Difference = 1.45 × 10^9 - 1,400,000,000
To perform the subtraction, we convert China's population to standard form:
1.45 × 10^9 = 1,450,000,000
Now, we can calculate the difference:
Difference = 1,450,000,000 - 1,400,000,000 = 50,000,000
Expressed in scientific notation, this is:
5 × 10^7
Therefore, the correct response is:
a) 5 × 10^7