Question

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.

Answer 1

Answer: The correct answer is D, 1833/1

Explanation:

for USATestprep.

Answer 2

≈ 1833

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
`a*10^b` and another be
`c*10^d`, when we divide, we will follow the rule shown below:

`(a*10^b)/(c*10^d)=((a)/(c)*10^(b-d))`

Now, we use the information given to find the ratio:

`(1.67*10^(-24))/(9.11*10^(-28))\\=((1.67)/(9.11)*10^(-24--28))\\=0.1833*10^4`

This means we can find the number by taking 4 decimal places to the right, so that would becomes:

`0.1833*10^4=1833`

The approximate ratio is 1833 [mass of proton is around 1833 times heavier than mass of electron]