To see why the second fact is true, say $a$ has a remainder of $r$ when divided by $b$ and $c$ has a remainder of $s$. Then $a=bq+r$ and $c=bt+s$ for some integers $q$ and $t$, and so $$a+c=bq+bt+r+s,$$ which has the same remainder as $r+s$ since we can subtract multiples of $b$ without changing the remainder.
The third rule is similar: writing $a$ and $c$ as above, we now have $$a\cdot c=(bq+r)\cdot(bt+s)=b^2qt+b(qs+rt)+rs,$$ and again taking away the multiples of $b$ we are left with $rs$.
There is a Friday the 13th in October of year 1000000th?
Um. this would not exactly deal with that, but it seems likely, given that it is not an uncommon occurrence.
actually nevermind, in a specific month would be much less likely.
Pingback: My Homepage
Pingback: susz konopny
Pingback: Luxe parasol
Pingback: fish spatula yourfishguide.com
Pingback: https://www.paintingandplowing.com
Pingback: Nora
Pingback: click here
Pingback: primewire.pics
Pingback: game slot
Pingback: Bitcoin VPS host
Pingback: spn
Pingback: ทางเข้า w88
Pingback: laguqq
Pingback: dewaqq
Pingback: Paket Tour Bali
Pingback: เซ็กซี่
Pingback: 김치티비
Pingback: sa game
Pingback: dumps with pin forum
Pingback: check it out
Pingback: marijuana online dispensary
Pingback: buy kimber rifles online
Pingback: buydumps
Pingback: Köp Oxynorm online
Pingback: maryland crabs
Pingback: relx
Pingback: What Day of the Week Will It Be 100 Days From Now? « Adafruit Industries – Makers, hackers, artists, designers and engineers!
Pingback: What Day of the Week Will It Be 100 Days From Now? « Adafruit Industries – Makers, hackers, artists, designers and engineers! – Maker News
Pingback: cheap sex with dolls
Pingback: โกง
Pingback: hotel booking sites
Pingback: Brazino
Pingback: little nightmares 2
Pingback: ottawa law firm
Pingback: olejek cbd
Pingback: Buy Handguns online
Pingback: health insurance
Pingback: 오밤접속주소
Pingback: rotexmedica testosteron enantat kaufen
Pingback: 풀팟포커
Pingback: sex reassignment surgery ontario
Pingback: best dump sites 2020
Pingback: 메이저토토사이트
Pingback: Novelty Toys for Kids
Pingback: servicos informaticos
Pingback: credit card dumps with pin
Pingback: Glock Guns For Sale