Asked by HELP
Exponents are routinely encountered in science, where they help to deal with small
numbers. For example, the diameter of a proton is 0.0000000000003 cm. Explain why it is
logical to express this number in scientific notation as 3 × 10−13. Calculate the surface area
and the volume of a proton.
numbers. For example, the diameter of a proton is 0.0000000000003 cm. Explain why it is
logical to express this number in scientific notation as 3 × 10−13. Calculate the surface area
and the volume of a proton.
Answers
Answered by
oobleck
it's easy to lose track of all those zeroes. Plus, raining powers of numbers in scientific notation is easy
A = 4πr^2 = 4π * (3x10^-13)^2 = 4π*9*10^-26 = 113*10^-26 = 1.113 * 10^-24 cm^2
Now do the same with the volume: 4/3 πr^3
A = 4πr^2 = 4π * (3x10^-13)^2 = 4π*9*10^-26 = 113*10^-26 = 1.113 * 10^-24 cm^2
Now do the same with the volume: 4/3 πr^3
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