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 D: 2, point, 4, 5, times, 10, to the power minus 32.45×10
−3
centimeters
Cell E: 5, point, 9, times, 10, to the power minus 45.9×10
−4
centimeters
What's the difference between the diameters of the two cells? Express your answer using standard notation
Answer
Attempt 1 out of 2
Standard Notation
Answer:
centimeters
Use Standard Notation to answer
To find the difference between the diameters of the two cells, we need to subtract the diameter of Cell E from the diameter of Cell D.
Cell D: 2.4 × 10^(-3) centimeters
Cell E: 5.9 × 10^(-4) centimeters
To subtract these numbers, we can convert them to the same power of 10.
Cell D: 0.24 × 10^(-2) centimeters (since 2.4 × 10^(-3) is equivalent to 0.24 × 10^(-2))
Cell E: 0.59 × 10^(-3) centimeters (since 5.9 × 10^(-4) is equivalent to 0.59 × 10^(-3))
Now we can subtract the two values:
0.24 × 10^(-2) - 0.59 × 10^(-3) = 0.24 × 10^(-2) - 0.059 × 10^(-2) = 0.181 × 10^(-2)
Finally, we can convert the result back to standard notation:
0.181 × 10^(-2) = 1.81 × 10^(-3) centimeters
Therefore, the difference between the diameters of the two cells is 1.81 × 10^(-3) centimeters.
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 D: 2, point, 4, 5, times, 10, to the power minus 32.45×10
−3
centimeters
Cell E: 5, point, 9, times, 10, to the power minus 45.9×10
−4
centimeters
What's the difference between the diameters of the two cells? Express your answer using standard notation
Answer
Attempt 1 out of 2
Standard Notation
Answer:
centimeters
Provide the answer in standard notation
To find the difference between the diameters of the two cells, we need to subtract the diameter of Cell E from the diameter of Cell D.
Diameter of Cell D: 2.45 x 10^(-3) centimeters
Diameter of Cell E: 5.9 x 10^(-4) centimeters
To subtract these values, we need to convert them to the same power of 10.
Rearranging Cell D's diameter to match Cell E's power of 10:
2.45 x 10^(-3) = 24.5 x 10^(-4) centimeters
Now we can subtract the two values:
Difference = 24.5 x 10^(-4) - 5.9 x 10^(-4) centimeters
= (24.5 - 5.9) x 10^(-4) centimeters
= 18.6 x 10^(-4) centimeters
Finally, we can simplify and convert the result to standard notation:
18.6 x 10^(-4) = 0.186 x 10^(-3) centimeters
= 1.86 x 10^(-4) centimeters
Therefore, the difference between the diameters of the two cells is 1.86 x 10^(-4) centimeters.
give me the answer in Standard Notation
To find the difference between the diameters of the two cells, we subtract the diameter of Cell D from the diameter of Cell E.
Diameter of Cell D: 2.45 × 10^(-3) centimeters
Diameter of Cell E: 5.9 × 10^(-4) centimeters
Difference = Diameter of Cell E - Diameter of Cell D
Difference = 5.9 × 10^(-4) - 2.45 × 10^(-3)
To express the answer in standard notation, we need to simplify the scientific notation.
Difference = 5.9 × 10^(-4) - 2.45 × 10^(-3)
Difference = 0.00059 - 0.00245
Difference = -0.00186
Therefore, the difference between the diameters of the two cells is -0.00186 centimeters.
To find the difference between the diameters of the two cells in standard notation, we need to subtract the diameter of Cell E from the diameter of Cell D.
The diameter of Cell D is given as 2.4 × 10^(-3) centimeters.
The diameter of Cell E is given as 5.9 × 10^(-4) centimeters.
To subtract these numbers, we need to make sure the exponents are the same. In this case, we can convert the diameter of Cell E to scientific notation with the same exponent as Cell D:
5.9 × 10^(-4) centimeters = 0.059 × 10^(-3) centimeters
Now we can subtract the two diameters:
2.4 × 10^(-3) centimeters - 0.059 × 10^(-3) centimeters
= (2.4 - 0.059) × 10^(-3) centimeters
= 2.341 × 10^(-3) centimeters
Therefore, the difference between the diameters of the two cells in standard notation is 2.341 × 10^(-3) centimeters.