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

how many year and months did it take to build blackpool tower england
A circle has an area of 16 pie square meters.  What is the circumference of the circle?  Please show how to solve.  Thank you
Give all solutions if the nonlinear system of equations, including those with no real complex components. y=x^2+6x 4x-y=-24
Which statement is true of a placenta? a. The placenta passes oxygen, nutrients, and other useful substances from the fetus to the mother. b. The placenta passe
Who were the 'KKK' and what were there intentions? (Teacher didn't tell me)
What is the value of x? A right triangle with a short leg measuring 5, a long leg measuring 5, and the hypotenuse as x.A. 10 B. 5C. [tex] 2\sqrt5 [/tex]D. [tex
11. Consider the elements neon, bromine, and phosphorus. Which has five electrons in its 4p sublevel?
how do i solve this infinite geometric series?64/25-16/5+4-5
The last of Wilson's Fourteen Points called for
What do epidermis and the dermis have in common? Could you please help me with me questions?