To calculate the estimated volume of 4.1 x 10^16 viruses, we need to multiply the volume of one virus by the number of viruses.
Given:
Volume of one virus = 4.7 x 10^-14 cubic centimeters
Number of viruses = 4.1 x 10^16
Estimated Volume = Volume of one virus x Number of viruses
Estimated Volume = (4.7 x 10^-14) x (4.1 x 10^16)
To multiply numbers in scientific notation, multiply the coefficients and add the exponents.
Estimated Volume = (4.7 x 4.1) x (10^-14) x (10^16)
Estimated Volume = 19.27 x (10^-14 + 10^16)
Since the exponents have opposite signs, we can subtract the smaller exponent from the larger exponent and keep the sign of the number with the larger exponent.
Estimated Volume = 19.27 x 10^(16-14)
Estimated Volume = 19.27 x 10^2
Estimated Volume = 1927 cubic centimeters
Therefore, the estimated volume of 4.1 x 10^16 viruses is 1927 cubic centimeters.
Complete the equation, by supplying the missing exponent.
A virus has a volume of approximately 4.7 x 10−14 cubic centimeters. Calculate the estimated volume of 4.1 x 1016 viruses.
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