algebra

Multiplication by 111

Posted on July 1, 2019 by Ashley Tung

If you liked the Fun Fact Multiplication by 11, you’ll enjoy seeing how to take that idea one step farther. Here’s...

Posted on June 29, 2019 by Samuel Nunoo

You may have seen the Fun Fact on squares ending in 5; Here’s a trick that can help you square ANY...

Posted on June 29, 2019 by Samuel Nunoo

You’ve probably heard of Newton’s Method from your calculus course. It can be used to locate zeros of real-valued functions. But did...

Posted on June 29, 2019 by Samuel Nunoo

The unit ball in Rn is defined as the set of points (x1,…,xn) such that x12 + … + xn2 <= 1. What...

Posted on June 29, 2019 by Samuel Nunoo

If you know how to multiply 2×2 matrices, and know about complex numbers, then you’ll enjoy this connection. Any complex number...

Posted on June 29, 2019 by Samuel Nunoo

After learning about the Taylor series for 1/(1+x) in calculus, you can find an interesting expression for Pi very easily. Start with...

Posted on June 29, 2019 by Samuel Nunoo

Did you know that it is possible to cut a solid ball into 5 pieces, and by re-assembling them, using...

Posted on June 29, 2019 by Samuel Nunoo

If you’ve seen the Banach-Tarski paradox, you know that it is possible to cut a solid 3-dimensional ball into 5 pieces...

Posted on June 26, 2019 by Samuel Nunoo

Given a polynomial such as: x4 + 7×3 – 4×2 – x – 7 it is possible to say anything about how many positive real...