Question

answer the following. (a) the diameter of neptune at its equator is approximately 4.95×10⁴ kilometers. write this number in standard notation. (b) an astronomers infrared telescope is able to detect radiation with a wavelength of 0.00000532 meters. write this number in scientific notation. (a) kilometers (b) meters

Explanation:

Step1: Convert kilometers to standard notation

To convert $4.95\times 10^{4}$ kilometers to standard - notation, we multiply 4.95 by $10^{4}$. Since $10^{4}=10000$, then $4.95\times10^{4}=4.95\times10000 = 49500$ kilometers.

Step2: Convert meters to scientific notation

For the number 0.00000532 meters, in scientific notation, we move the decimal point to the right until we have a number between 1 and 10. We get 5.32. We moved the decimal point 6 places to the right, so the exponent of 10 is - 6. So it is $5.32\times 10^{-6}$ meters.

Answer:

(a) 49500 kilometers
(b) $5.32\times 10^{-6}$ meters