At a certain lab, the average mass of one ant is measured to be 2, point, 9, times, 10, to the power minus 62.9×10
−6
kilograms. Use scientific notation to express the mass of 6060 ants.
Answer
Attempt 1 out of 2
Answer:
times, ______ ×10 ^________
kilograms
5 answers
times, 2.9 × 10^-62.9 × 10^(-6) kg = 2.9 × 10^((-62.9 - 6)) kg = 2.9 × 10^-68.9 kg
The size of a cell is typically found by capturing an image under a microscope then using software to measure its diameter. Two cells are measured using this method:
Cell G: 9, point, 2, 3, times, 10, to the power minus 39.23×10
−3
centimeters
Cell H: 4, point, 2, times, 10, to the power minus 44.2×10
−4
centimeters
How much larger is the diameter of cell G than the diameter of cell H? Express your answer using scientific notation.
Answer
Attempt 1 out of 2
Answer:
times, 10×10
centimeters
Cell G: 9, point, 2, 3, times, 10, to the power minus 39.23×10
−3
centimeters
Cell H: 4, point, 2, times, 10, to the power minus 44.2×10
−4
centimeters
How much larger is the diameter of cell G than the diameter of cell H? Express your answer using scientific notation.
Answer
Attempt 1 out of 2
Answer:
times, 10×10
centimeters
The diameter of cell G is 9.23 × 10^(-39.23 - 3) cm = 9.23 × 10^(-42.23) cm
The diameter of cell H is 4.2 × 10^(-44.2 - 4) cm = 4.2 × 10^(-48.2) cm
To find the difference in diameter, we divide the diameter of cell G by the diameter of cell H:
(9.23 × 10^(-42.23)) / (4.2 × 10^(-48.2))
To divide numbers in scientific notation, we subtract the exponents and divide the coefficients:
9.23 / 4.2 = 2.2
10^(-42.23 - (-48.2)) = 10^5.97 = 10^(6-0.03) = 10^6
Therefore, the diameter of cell G is 2.2 × 10^6 times larger than the diameter of cell H.
The diameter of cell H is 4.2 × 10^(-44.2 - 4) cm = 4.2 × 10^(-48.2) cm
To find the difference in diameter, we divide the diameter of cell G by the diameter of cell H:
(9.23 × 10^(-42.23)) / (4.2 × 10^(-48.2))
To divide numbers in scientific notation, we subtract the exponents and divide the coefficients:
9.23 / 4.2 = 2.2
10^(-42.23 - (-48.2)) = 10^5.97 = 10^(6-0.03) = 10^6
Therefore, the diameter of cell G is 2.2 × 10^6 times larger than the diameter of cell H.
pls try again
To find the difference in diameter between cell G and cell H, we need to subtract the diameter of cell H from the diameter of cell G.
Diameter of cell G: 9.23 × 10^(-39.23) cm
Diameter of cell H: 4.2 × 10^(-44.2) cm
To subtract the diameters, we need to have the same exponent. We can achieve this by converting the diameter of cell H to the same exponent as the diameter of cell G.
4.2 × 10^(-44.2) cm = 0.042 × 10^(-39.23) cm
Now we can subtract the diameters:
Diameter of cell G - Diameter of cell H = (9.23 × 10^(-39.23)) - (0.042 × 10^(-39.23))
To compute the difference in scientific notation, we subtract the coefficients and keep the common exponent:
9.23 - 0.042 = 9.188
Therefore, the diameter of cell G is 9.188 times larger than the diameter of cell H. The difference can be expressed as:
9.188 × 10^(-39.23) cm
Diameter of cell G: 9.23 × 10^(-39.23) cm
Diameter of cell H: 4.2 × 10^(-44.2) cm
To subtract the diameters, we need to have the same exponent. We can achieve this by converting the diameter of cell H to the same exponent as the diameter of cell G.
4.2 × 10^(-44.2) cm = 0.042 × 10^(-39.23) cm
Now we can subtract the diameters:
Diameter of cell G - Diameter of cell H = (9.23 × 10^(-39.23)) - (0.042 × 10^(-39.23))
To compute the difference in scientific notation, we subtract the coefficients and keep the common exponent:
9.23 - 0.042 = 9.188
Therefore, the diameter of cell G is 9.188 times larger than the diameter of cell H. The difference can be expressed as:
9.188 × 10^(-39.23) cm
1 answer