Difference of Squares in Mental Arithmetic
One of the first tricks taught in factoring polynomials is the difference of squares formula, namely: This simple formula comes in handy in mental arithmetic when we substitute …
One of the first tricks taught in factoring polynomials is the difference of squares formula, namely: This simple formula comes in handy in mental arithmetic when we substitute …
This post is inspired by the well-known Christmas song "The Twelve Days of Christmas", which starts as follows: "On the first day of Christmas, my true love gave to me …
I introduced modular arithmetic in an earlier post (Introducing Modular Arithmetic via Group Theory). Let us look an application of this theory in the following problem. Problem: Prove that there …
1) I might be severely in debt but on a positive note, I have as much money as Elon Musk in absolute value. 2) Elon Musk's bank account balance has …
I had the fortune to watch this play with my family. Without spoiling the play for people who have watched it, I want to pose a central question raised by …
Mdoular arithmetic is essentially arithmetic on remainders. Recall that whenever we have two integers , with , there exist unique integers and , with such that The number is the …
The Pythagorean Theorem is of course a well-known theorem. Basically, it states that the sum of squares of the lengths of the two legs of a right triangle is equal …
The transition from grade school mathematics to a mathematics specialist program in university is a big one, even for those who are in enriched high school mathematics programs. The primary …
Phil Mickelson won the PGA championship at the age of 50 (almost 51 as a matter of fact!) This sets the record for the oldest champion of a major tournament …
I enjoyed proving trigonometric identities when I was in high school. The following identity that appeared on an old mathematics contest (Descartes contest) is perhaps my favourite one as it …