The mass of a proton is approximately 1.67 x 10−24, and the mass of an electron is approximately 9.11 x 10−28. Find the approximate ratio of the mass of the proton to the mass of the electron.
Accepted Solution
A:
Answer:≈ 1833Step-by-step explanation:To find ratio of proton mass to electron mass, we have to divide.The numbers are given in scientific notation.Let a number be [tex]a*10^b[/tex] and another be [tex]c*10^d[/tex], when we divide, we will follow the rule shown below:[tex]\frac{a*10^b}{c*10^d}=(\frac{a}{c}*10^{b-d})[/tex]Now, we use the information given to find the ratio:[tex]\frac{1.67*10^{-24}}{9.11*10^{-28}}\\=(\frac{1.67}{9.11}*10^{-24--28})\\=0.1833*10^4[/tex]This means we can find the number by taking 4 decimal places to the right, so that would becomes:[tex]0.1833*10^4=1833[/tex]The approximate ratio is 1833 [mass of proton is around 1833 times heavier than mass of electron]