Question

answer the following. (a) an astronomers infrared telescope is able to detect radiation with a wavelength of 4.39×10^(-6) meters. write this number in standard notation. (b) the diameter of neptune at its equator is approximately 49,500 kilometers. write this number in scientific notation.

Explanation:

Step1: Convert scientific - notation to standard notation

The scientific - notation $4.39\times10^{-6}$ means moving the decimal point 6 places to the left. So, $4.39\times10^{-6}=0.00000439$ meters.

Step2: Convert kilometers to scientific notation

To write 49500 kilometers in scientific notation, move the decimal point 4 places to the left. So, $49500 = 4.95\times10^{4}$ kilometers.

Answer:

(a) 0.00000439 meters
(b) $4.95\times10^{4}$ kilometers