Why is .9 repeating 1?

0.9 repeating equals 1 because they are two different ways of writing the exact same number; there's no space or any other number between them, and using algebraic or calculus proofs (like infinite series) shows their values converge to the same single number, meaning they don't just get close to 1, they are 1 in the standard real number system.

Why does .9 repeating equal 1?

Because 0.999... cannot be bigger than 1 or smaller than 1, it must equal 1 if it is to be any real number at all.

Is 0.9999 exactly equal to 1?

I've been long fascinated by the endless online debates about whether the infinite decimal expansion 0.9999… is exactly equal to 1. The canonical answer is yes.

Is 170141183460469231731687303715884105727 prime number?

Using this algorithm with hand computations on paper, Lucas showed in 1876 that the 39-digit number (2127 – 1) equals 170,141,183,460,469,231,731,687,303,715,884,105,727, and that value is prime. Also known as M127, this number remains the largest prime verified by hand computations.

Does 1 zillion exist?

Zillion sounds like an actual number because of its similarity to billion, million, and trillion, and it is modeled on these real numerical values. However, like its cousin jillion, zillion is an informal way to talk about a number that's enormous but indefinite.

I'm Settling This Math Debate Forever (.99 repeating = 1)

Does 1x1 really equal 1?

Yes, 1 times 1 is fundamentally 1 in standard mathematics because 1 is the multiplicative identity, meaning any number multiplied by 1 remains unchanged, representing one instance of that number, so one instance of 'one' is just 'one'. While some popular misunderstandings, like Terrence Howard's theories, suggest otherwise, these deviate from established mathematical principles where 1 is defined as the value that doesn't alter the quantity being multiplied. 

Why does 0.999 1 math fun facts?

Note that 1 has decimal representation 1.000… which is just 1 + 0/10 + 0/100 + 0/1000 + … so if one realizes that decimal expansions are just a code for an infinite sum, it may be less surprising that two infinite sums can have the same sum. Hence 0.999… equals 1.

Is 1 infinitely larger than 0?

Relatively, or percentagewise, yes: 1 is infinitely bigger than zero. This is equivalent to saying 2 is two times bigger than 1. It takes infinite groups of zero added up to equal 1.

How is 9.9 recurring 10?

9.9 recurring does equal 10. If we say x=9.9r, then 10x=99.9r so 10x-x=9x=90, so x=90/9.

What is .93333 as a fraction?

So, 0.93333 = 27/30 + 1/30 = 28/30. Step 5: Simplify the fraction by dividing both the numerator and the denominator by their GCD, which is 2. 28/30 = 14/15. Thus, 0.93333 can be written as a fraction 14/15.

Is 0.999 1 false?

In our current system, we haven't allowed infinitely small numbers. As a result, 0.999… = 1 because we don't allow there to be a gap between them (so they must be the same). In other number systems (like the hyperreal numbers), 0.999… is less than 1.

Is 9.9999 equal to 10?

9.9999 is not equal to 10. It's 0.0001 less than 10. 9.99999 is not equal to 10 either. It's 0.00001 less than 10.

What is the rule for repeating decimals?

A repeating decimal or recurring decimal is a decimal representation of a number whose digits are eventually periodic (that is, after some place, the same sequence of digits is repeated forever); if this sequence consists only of zeros (that is if there are only a finite number of nonzero digits), the decimal is said ...

Why does 9 0 equal 1?

A number to the power of 0 is equal to 1 because of the division rule of exponents.

How do you say "I love you" in math?

You can say "I love you" in math through simple number codes like 143 (1 letter, 4 letters, 3 letters), using math-themed symbols like I < 3 u, solving an inequality like 9x - 7I > 3(3x - 7U) to reveal "I heart you," or by graphing equations that form a heart shape, with popular ones being the cardioid or variations like the heart curve. 

How to prove that 0.9 recurring is 1?

0.9999… = 0.9 + 0.09 + 0.009 + 0.0009 + … In this way, the infinite-series summation formula proves that 0.9999… = 1.

Why do mathematicians hate that viral equation?

It's formatted to confuse people, and there are no interesting underlying concepts. Math can be useful. It can also be elegant, even beautiful — a word you'll often hear mathematicians say when they describe the discovery of a nugget of surprising insight.

What is 1 ➗ 0 and why?

As much as we would like to have an answer for "what's 1 divided by 0?" it's sadly impossible to have an answer. The reason, in short, is that whatever we may answer, we will then have to agree that that answer times 0 equals to 1, and that cannot be ​true, because anything times 0 is 0.

Why do engineers use J instead of I?

Engineers use 'j' instead of 'i' for the imaginary unit (-1the square root of negative 1 end-root−1√) primarily to avoid confusion with 'i', which conventionally represents instantaneous electric current (Amperes), especially in electrical engineering](https://www.quora.com/Why-in-electrical-engineering-and-allied-fields-is-the-imaginary-unit-denoted-by-the-letter-j-as-opposed-to-i). Using 'j' keeps the math clear for complex numbers (a+bja plus b j𝑎+𝑏𝑗) when dealing with AC circuits, preventing ambiguity between a mathematical concept and a physical quantity.
 

Why is 52 an untouchable number?

52 is an "untouchable number" in mathematics because it's a positive integer that can never be the result of adding up the proper divisors (all divisors except the number itself) of any other positive integer, meaning no number "touches" 52 by having its divisors sum to it, unlike numbers like 6 (1+2+3) or 9 (1+3) which are sums of proper divisors. It's one of the early untouchable numbers, appearing after 2, 5, 88, 96, 120, and 124 in the sequence.
 

How many 0 billionaires?

Understanding the sizes of millions, billions, and trillions provides perspective on the vastness of these numerical values. A million has six zeros, a billion has nine zeros, and a trillion has twelve zeros.

What is a quattuorvigintillion?

A quattuorvigintillion is a very large number, specifically 1075 (a 1 followed by 75 zeros) in the short scale used in English-speaking countries, or 10144 in the long scale used in some European countries, representing a massive quantity used in theoretical mathematics, physics, and cosmology.