ggxrawrr6655 ggxrawrr6655
  • 14-09-2019
  • Mathematics
contestada

Assume n and m are integers. Prove if m divides n, then m divides -n

Respuesta :

facundo3141592
facundo3141592 facundo3141592
  • 17-09-2019

Answer: So, if m divides n then n/m = x, and x is integer.

then -n/m = (-1*n)/m = -1*n/m = -1*x = -x.

So if x is integer, -x also is integer, then -n/m is integer and then m divides -n.

Where you used that in the integers set each number a has a opposite (also in the set ) such that a + b= 0, and b = -a = -1*a.

Answer Link

Otras preguntas

Explain the relationship to ww1 and the treaty of versailles to losing or gaining territory after the war
5 minute deadline List 2 academic and Scientific applications of radiation
which object would be the addition to a collection of writing instruments that are unique to the twentieth century
One-eighth of the 32 students in the class went abroad for fall break. How many students went abroad?
how are dogs and cats different and like
PLEASE HELP MEEE!!!!!!!!!!!!!!!!!!!
Calculate the acceleration of 25kg object that is moved with a force of 300n
A car dealership is having a sale in which customers pay 85% of the retail price for a new vehicle. keith is buying a vehicle with a retail price of $36,000. he
Does anybody know someone who take tutor for 25$ that comes home
The Agricultural Revolution involved all of the following except the cultivation of grain. the development of factories. the domestication of animals.