Question

answer the following. (a) the diameter of neptune at its equator is approximately 4.95×10^4 kilometers. write this number in standard notation. (b) an astronomers infrared telescope is able to detect radiation with a wavelength of 0.00000768 meters. write this number in scientific notation. (a) kilometers (b) meters

Explanation:

Step1: Convert scientific to standard for (a)

Move decimal 4 places right.
$4.95\times 10^{4}=49500$

Step2: Convert standard to scientific for (b)

Move decimal 6 places right to get a number between 1 and 10.
$0.00000768 = 7.68\times 10^{-6}$

Answer:

(a) 49500
(b) $7.68\times 10^{-6}$