WebDec 15, 2011 · Proof that 0 = 1 - YouTube 0:00 / 2:58 Proof that 0 = 1 John Hush 357K subscribers Subscribe 79K 2.7M views 11 years ago Mr. John Hush proves, using an … WebTitle: Mind-Blowing Math: Proving 0.9999... Equals 1! 🤯Description: Prepare to have your mind blown as we dive into the fascinating world of mathematics and...
algebra precalculus - Prove $0! = 1$ from first principles ...
WebThere are many proofs that the repeating decimal 0.999... is equivalent to the number one, some more rigorous than others. Also with counter-proofs. Contents 1 Prerequisites 2 Sources 3 Proof 3.1 Sum/product of fractions 3.2 Conversion to fraction 3.3 Infinite geometric series 3.4 Argument from averages 3.5 Argument from philosophy WebThe values a=1 and r=1 make the above statement evaluate to 0 = 1 and so the algebraic proof for 0.999… = 1 must be invalid. ARGUMENT 8: The argument that 0.999… equals 1 because they are both ‘real numbers’ and 1 is the limit of the sequence 0.9, 0.99, 0.999, … htwg bwl professoren
Help debunk a proof that zero equals one (no division)?
WebUnlike the more common variant of proof that 0=1, this does not use division. So, the reasoning goes like this: 0 = 0 + 0 + 0 + … not too controversial = ( 1 − 1) + ( 1 − 1) + ( 1 − 1) + … by algebra = 1 + ( − 1 + 1) + ( − 1 + 1) … by associative property = 1 ∴ 0 = 1 WebSince we know a number divided by itself always results in 1, therefore, a b ÷ a b = 1. Also, a b ÷ a b = a b /a b = a b - b (Using the quotient law of exponents) or, a b-b = a 0. Using the two results of a b ÷ a b, we get: or, a 0 = 1. Therefore, any number 'a' raised to the power zero is always equal to one as it's numerical value is 1. WebOct 13, 1996 · In mathematics, the empty product is defined to be 1, because multiplying by nothing at all is the same as multiplying by 1. Notice that can be thought of as "start with the number 1, then multiply by a, b times." For instance, and . Therefore, should be just 1, not multiplied by anything else at all. When a is a positive integer, yet another ... hoffman global iec