Prove When Addition Equals Multiplication Using Code

Chip Oglesby bio photo By Chip Oglesby

Sometimes when I’m bored and I’m driving around, I like to think about how I can do things using code. Yesterday I was thinking to myself “Why are zero and two” the only two numbers (integers) that are equal with multiplication and addition?

Aside from real numbers like {1.5,3} zero and two are the only two integers that work for x + y = x * y. But what if you didn’t know that or you wanted to test that with code? How would you do that?

And that’s where my mind normally goes. How would you do that with code?

Here’s my short and sweet little solution using some simple R code.

for (i in 0:9){
  x = i + i
  y = i * i
  if (x == y){
  print(paste("True for", i, sep = " "))
  } else {
    print(paste("False for", i, sep = " "))

Nothing earth-shattering, just a fun example for me to think about.