Is there an infinity between 0 and 1?

Yes, there are an uncountably infinite number of real numbers between 0 and 1, meaning you can always find another number between any two you pick (like 0.1, 0.01, 0.001, or 0.12345) and can never list them all, a concept proven by mathematicians like Cantor using diagonalization. This infinity is the same "size" as the infinity of all numbers, and it's a fundamental concept in real analysis, often demonstrated by how you can always add more digits or create new numbers, like using decimals.

Are there infinite numbers between 0 and 1?

Yes, there are an uncountably infinite number of real numbers between 0 and 1, meaning you can always find another number (like 0.1, 0.11, 0.111, etc.) and can never list them all, even though the interval itself seems small. This concept applies to any two distinct numbers, showing there's the same amount (cardinality) of numbers between 0 and 1 as there are between 0 and 2, or even all real numbers. 

What is 1 ➗ 0 and why?

1 divided by 0 (1/0) is undefined in standard mathematics because it breaks the rules of arithmetic; it doesn't equal a number like infinity (though limits approach infinity) and leads to contradictions, as you can't group things into zero-sized groups to make one. Division is repeated subtraction or grouping, and asking "how many zeros make one" has no answer, as adding zero always gives zero, never one.
 

Is .99999999999 equal to 1?

It can be proved that this number is 1; that is, Despite common misconceptions, 0.999... is not "almost exactly 1" or "very, very nearly but not quite 1"; rather, "0.999..." and "1" represent exactly the same number.

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.

0 ^ ∞ , It's What You Think

How many zeros are in a googolplexianth?

There's no standard "googolplexianth" number; the "-ian" suffix usually denotes a power of a googolplex (like a googolplexian = 10^googolplex), so a "googolplexianth" would be a tiny fraction, but if you mean a googolplexian, it's a 1 followed by a googolplex (10^100) zeroes, a truly immense, unwriteable number represented as 10(10100)10 raised to the exponent open paren 10 to the 100th power close paren end-exponent10(10100).
 

Why is .9 repeating 1?

If the digits in each place are multiplied by their corresponding power of 10 and then added together, one obtains the real number that is represented by this decimal expansion. So the decimal expansion 0.9999… actually represents the infinite sum9/10 + 9/100 + 9/1000 + 9/10000 + …

What is 100000000000000000000 called?

So: 100,000,000,000,000,000,000 is a hundred quintillion, or ten to the twentieth power.

Does 1x1 really equal 1?

Multiplication is a fundamental operation in arithmetic, defined based on repeated addition. For whole numbers, a×b means adding a to itself b times . For 1×1 it means that we add 1 to itself once, which is simply: 1.

Does 0x0 exist?

0× 0 × ____ =1 = 1 . There is no such number. We cannot find it because it doesn't exist. Since it doesn't exist, zero does not have a reciprocal, so dividing by 0 will not work.

Is 0.3333333333333 a rational number?

-3 = -3/1, a fraction of two integers. Identify this number as a rational number or an irrational number: 0.3333333333333. 0.33333... is a rational number.

Is 12345678910987654321 a prime number?

The number 12,345,678,910,987,654,321 is indeed prime. It consists of 20 digits and is really easy to remember: count to 10 and then count backward again until you get to 1. But it has been unclear whether other primes take the palindromic form of starting at 1, ascending to the number n and then descending again.

Why is 52 an untouchable number?

The number 52 is an "untouchable number" because it's a rare number that can't be formed by adding up the proper divisors (all divisors except the number itself) of any other integer, making it a member of a special set of numbers that are "untouched" by this specific mathematical operation, joining other untouchables like 2 and 5 in this category. 

Is kajillion a real number?

(hyperbole is common now) Sometimes we make new words that are half joking, for example "Kajillion." This is not a real number, it just represents the idea of an absurdly large amount.

Is a zillion a number?

No, a "zillion" is not a real, defined number; it's an informal, made-up word used to mean a very large, unspecified quantity, similar to "gazillion" or "bajillion," used for emphasis rather than precision. While words like million, billion, and trillion refer to specific values, a zillion is an indefinite term for "a whole lot". 

Is Vigintillion real?

It's rather rare but vigintillion is real enough, though its meaning has been disputed. Some old references explain it as 1 followed by 120 zeros (10120) but modern ones as 1 followed by a mere 63 zeros (1063).

How big is untrigintillion?

A unit of quantity equal to 1096 (1 followed by 96 zeros).

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 0.333333333333333 as a fraction?

Answer. The final result for 0.33333333333 as a fraction is: 1/3.

Is .999 the same as 1?

A common assumption is that numbers cannot be “infinitely close” together — they're either the same, or they're not. With these rules, 0.999… = 1 since we don't have a way to represent the difference. If we allow the idea of “infinitely close numbers”, then yes, 0.999… can be less than 1.

How big is 1 vigintillion?

A vigintillion is a massive number, typically 1 followed by 63 zeros (106310 to the 63rd power1063) in the short scale used in English-speaking countries, but historically and in the long scale (used in Europe), it was 1012010 to the 120th power10120 (1 followed by 120 zeros). It's the 20th "-illion" number, representing a thousand novemdecillion in the short scale. 

What is the 100th power of 10?

Googol is 10 to the 100th power, which is 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000, 000,000,000,000,000,000,000,000,000. Googolplex isn't just that number but has that many zeros in it. It simply has no other nameable name.

What is bigger, a googol or googolplexian?

A googolplex is much bigger than a googol, much bigger even than a googol times a googol. A googol times a googol would be 1 with 200 zeros, whereas a googolplex is 1 with a googol of zeros.