Question

(a) The diameter of Pluto at its equator is approximately 2.39 x 10 kilometers. Write this number in standard notation.(b) An astronomer's infrared telescope is able to detect radiation with a wavelength of 0.0000268 meters. Write this number in Scientific notation(a) [ kilometers(b) meters

Answer 1

The diameter of Pluto is about 2376 km; therefore, due to the question being incomplete, I will suppose that the question states that the diameter of Pluto at its equator is 2.39x10^3 km.

Converting 2.39x10^3 km into standard form:

$2.39\times10^3=2.39\cdot1000=2390$

Therefore, the answer to part a) is 2390km.

b) Notice that there are 4 zeros between the digit 2 and the decimal point in 0.0000268; therefore,

$0.0000268=2.68\cdot10^{-4-1}=2.68\cdot10^{-5}$

The answer to part b) is 2.68x10^-5 meters