In this article I will go into a way of dividing that’s possibly unusual – repeated subtraction, with some doubling along the way.  It’s related to other articles I’ve already done: Multiplying using doubling, halving and adding Multiplying using doubling, halving and adding 2 First, I’ll go into how we get division if we do … Continue reading Dividing using subtraction

This article is a follow-up to a previous article on multiplying by halving, doubling and adding.  In this article I go through another way of approaching the same idea, that my wife showed me. This article, like the previous one, will switch between Roman numerals and Arabic numerals.  I learned this on a counting cloth … Continue reading Multiplying using halving, doubling and summing – part 2

I’ve recently been doing more maths than usual using Roman numerals, which has got me thinking about the relationship between how numbers are represented and how easy it is for them to do different jobs for us. I’ll go into a few representations below, and their good and bad points. I won’t talk about floating … Continue reading Representing numbers

I was introduced to an interesting way of multiplying two numbers (integers greater than 0) recently, at a Tudor re-enactment at Kentwell Hall. It took me a while to realise what was going on behind the scenes, at least in terms of things I already understood. As it also made me think in a new … Continue reading Multiplying using halving, doubling and summing