My math teacher did this! 0.999...=1? Reddit r/theydidthemath скачать в хорошем качестве

My math teacher did this! 0.999...=1? Reddit r/theydidthemath

Is 0.999...=1 i.e. 0.9(repeating) is really equal to 1? We will use "an algebraic trick" to explain why 0.999...=1. We first let x=0.999.. then multiply both sides by 10 so we get 10x=9.999... Next, we will do 10x-x, which is 9.999...-0.999... and get 9x=9. After dividing both sides by 9, we see that x=1. But we set x=0.999... to begin with. So we can conclude that 0.999...=1. 0.999... as an infinite geometric series: 👉    • I had a grown adult scream at me beca...   This is from Reddit r/theydidthemath.   / vj2cznqxvh   Shop my math t-shirts & hoodies on Amazon: 👉 https://amzn.to/3qBeuw6 ----------------------------- I help students master the basics of math. You can show your support and help me create even better content by becoming a patron on Patreon 👉   / blackpenredpen  . Every bit of support means the world to me and motivates me to keep bringing you the best math lessons out there! Thank you! ----------------------------- #math #algebra #mathbasics