# LMD Async Tutoring **URL:** https://discuss.criticalfallibilism.com/t/lmd-async-tutoring/1933 **Category:** Tutoring **Created:** [April 23, 2024, 12:05am UTC](https://discuss.criticalfallibilism.com/t/lmd-async-tutoring/1933 "2024-04-23T00:05:39Z") **Posts on this page:** 1 **Showing post:** 434
### Author: ![LMD](https://discuss.criticalfallibilism.com/user_avatar/discuss.criticalfallibilism.com/lmd/32/3213_2.png) [@LMD](https://discuss.criticalfallibilism.com/u/LMD) #### Post date: [July 23, 2024, 6:36am UTC](https://discuss.criticalfallibilism.com/t/lmd-async-tutoring/1933/434 "2024-07-23T06:36:35Z")
> [@Eternity Async Tutoring](https://discuss.criticalfallibilism.com/t/eternity-async-tutoring/1932/420): > > The sum x+y is 0, 1 or 2. > > You know the goal for what you want to transform it to in each case: > > 0 → 0 > 1 → 1 > 2 → 1 > > If you think about it with two number lines, the left numbers correspond to the top number line and the right numbers to the bottom one. > > What mathematical operation could help here? What conceptually do you need to do? What conceptually do I need to do? In that mapping, all numbers that aren’t 0 map to 1. All positive numbers map to 1. The solution x + y \> 0 conceptually does this. It makes all positive numbers map to 1. How do we do something similar, but just with basic arithmetic? 1 is the multiplicative identity. Any number divided by itself equals one (except zero). But we can’t use fractions. anything to the power of zero is 1. But then 0 maps to 1. how can we check if something is positive using only addition and multiplication? I’ve scrolled down to see further discussion. Okay, I hadn’t considered integer division. I don’t have practise thinking about integer division so I’m gunna practise some more see if I notice anything. 3 / 6 = 0 3 mod 6 = 3 6 / 2 = 3 6 % 2 = 0 12 / 7 = 1 12 % 7 = 5 45 / 4 = 11 45 % 4 = 1 2 / 1 = 2 2 % 1 = 0 1 / 2 = 0 1 % 2 = 1 0 / 2 = 0 2 / 2 = 1 1 / 2 = 0 0 / 2 = 0 0 mod 2 = 0 0 mod 2 = 0 2 mod 2 = 0 1 mod 2 = 1 Stopping for today. Stuck here. --- _[View the full topic](https://discuss.criticalfallibilism.com/t/lmd-async-tutoring/1933)._