Posted by Nicole on .
(This is just an example)
A proton has a size of 1.23x10^11 and an electron has a size of 1.4x10^8. How many times smaller is and electron than a proton?
Now the part I need help with the which scientific notation goes in the numerator? Is it 1.23x10^11 or the 1.4x10^8?

Math 
John,
This means: how many times larger is a proton then an electron?
Thus we put the proton on the numerator and the electron on the denominator.
From pure chemical science, a proton is wayyy bigger (and heavier) than an electron. Thus, if you get an answer that is really small then you know you are wrong. 
Math 
Nicole,
Okay thank you. But would 0.000000000123 be 1.23x10^11?

Math 
John,
Actually, that would be 1.23 x 10^10. Move it over one more place. Count 11 places from 1.23. From 1.23 to 0.123 there is one jump.

Math 
Nicole,
Would that mean that my answer would be 0.88x10^18?