Scientific Notation Word Problem

A neutron has a mass of 1.67*10^-27kg and an electron has a mass of 9.11*10^-31kg. Determine how many times smaller the mass of the electron is than the mass of the neutron. (Scientific Notation FYI)

neutron has a mass \(1.674927471\cdot 10^{-27}\ kg\)

electron has a mass \(9.109 383 56\cdot 10^{−31}\ kg\)

\(\small{ \begin{array}{rcl} \dfrac{ \text{neutron}_\text{mass} }{ \text{electron}_\text{mass} } &=& \dfrac{1.674927471\cdot 10^{-27}\ kg}{9.109 383 56\cdot 10^{-31}\ kg} \\\\ &=& \dfrac{1.674927471\cdot 10^{-27} \cdot 10^{31} }{9.109 383 56} \\\\ &=& \dfrac{1.674927471\cdot 10^{4} }{9.109 383 56} \\\\ &=& 0.1838761084\cdot 10^{4} \\\\ &=& 1.838761084\cdot 10^{3} \\\\ &=& 1838.761084 \\\\ \end{array} }\)

The mass of the eletron is \(1.838761084\cdot 10^{3}\) times smaller than the mass of the neutron.

The mass of your neutron star is: 1.67 X 10^27Kg NOT 10^-27.

The ratio of the mass of the electron to the mass of the neutron is:                                                                                             9.3 X 10^-31 / 1.67 X 10^27=5.5688622 X10^-58 Kg.

Sorry, young ladd/lass. I took the mass to be a neutron star, NOT the elementary particle, the Neutron!!!!.Of course the calculation will quite different:

9.11 X 10^-31/ 1.67 X 10^-27=5.45508 X 10^-4Kg. Or a neutron's mass is:

=1,833.15 times that of the electron.