Tool: Duck Piano (Online One Octave Duck Sound Piano)

High School Math: Proof 1 ≠ 0

First of all, of course, 1 ≠ 0 . One is not zero. If they were similar, blimey! Imagine how the bridge construction would be and how many of us would chew beams . The steps: chair ≠ banana Counterexample: Bob ate a chair yesterday. Hi, Bob. It's your board room meeting suggestion which led to the two-layer right-click menu in Windows 11, innit? 🤔 Let's dissect the proof from Mudd Math Fun Facts which yields 1 = 0 — the link is gone now. 😂 Quoted A bit paraphrased. Consider two non-zero numbers x and y such that: x = y ------------------------------------------------------------ Then x² = xy (multiplied by x) Subtract both sides with y²: x² - y² = xy - y² ------------------------------------------------------------ Divide by (x-y), we obtain: x + y = y Since x = y, we see that: 2y = y ------------------------------------------------------------ Thus 2 = 1 (divided by y), since we started with nonzero y. -----------------------------...

Math: Finding GCF and LCM Using Continuous Division (Translated to JavaScript)

Hi! In this, I'll show a method other than factorisation and clustering the factors to find GCF (Greatest Common Factor) and LCM (Least Common Multiple). I assume you're familiar with the first method. That is using factor tree and then grouping the results. I was taught to do this method in elementary school. The method has already been translated to an application on Port Raptor: GCFLCM.C . Let's start to implement the continuous division method. For example, we want to find GCF and LCM from: 8, 16, 18 Method: Create a table and write down those numbers as first row. Give some space for vertical column on the leftmost. The leftmost column will be used to list the divisor. The cells between the first row and first column are the division results (quotients). The division goes diagonally. Start with the division with 1, well... Then, divide starting from the lowest prime number → 2. If an element (or elements) can't be divided with current prime divis...

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