Which is greater 0 or infinite?
Infinity is greater than anything and everything.
Therefore zero can't be greater than infinity and can't be equal to infinity. That makes it less than infinity.
The concept of zero and that of infinity are linked, but, obviously, zero is not infinity. Rather, if we have N / Z, with any positive N, the quotient grows without limit as Z approaches 0.
Negative infinity is always less than any number, and positive infinity is greater than any number.
Any number divided by infinity is equal to 0. To explain why this is the case, we will make use of limits. Infinity is a concept, not an actual number, so we can't just divide a number by infinity.
There is no biggest, last number … except infinity. Except infinity isn't a number. But some infinities are literally bigger than others.
Mathematically, if we see infinity is the unimaginable end of the number line. As no number is imagined beyond it(no real number is larger than infinity). The symbol (∞) sets the limit or unboundedness in calculus.
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.
Infinity is a concept, not a number; therefore, the expression 1/infinity is actually undefined.
A negative number is any number that is less than zero. For instance, -7 is a number that is seven less than 0.
In the Ordinals or in the Cardinals (used extensively in set theory), infinity isn't just a number, it is an entire range of numbers. And yes, in all of these systems, infinity is greater than one.
What comes before zero?
The natural number following 0 is 1 and no natural number precedes 0.
That is for any arbitrary element we find an open subset of (0,∞) so the set (0,∞) is open.
Multiplying 0 by infinity is the equivalent of 0/0 which is undefined.
A "googol" is the number 1 followed by 100 zeroes. The biggest number with a name is a "googolplex," which is the number 1 followed by a googol zeroes.
| Name | The Number | Symbol |
|---|---|---|
| quintillion | 1,000,000,000,000,000,000 | E |
| quadrillion | 1,000,000,000,000,000 | P |
| Very Small ! | ||
| quadrillionth | 0.000 000 000 000 001 | f |
Answer and Explanation: There is no number before infinity. It is possible to represent infinity minus one as a mathematical expression, but it does not actually equal anything or have any real mathematical value.
. If you add one to infinity, you still have infinity; you don't have a bigger number.
The smallest version of infinity is aleph 0 (or aleph zero) which is equal to the sum of all the integers. Aleph 1 is 2 to the power of aleph 0. There is no mathematical concept of the largest infinite number.
Not only is the infinity of decimals bigger than that of the counting numbers – there is no biggest infinity. Beyond infinity is another infinity, and beyond that is yet another… and even after you've reached an infinity of infinities, there's still another infinity beyond that.
There are no zeros in infinity. There are no numbers in infinity because infinity is not a number. Infinity is an idea that represents something outside the bounds of our number system.
Is 0 1 undefined or infinity?
In any case, the intellect of a person cannot be tested by posing one question to him. In mathematics, expressions like 1/0 are undefined. But the limit of the expression 1/x as x tends to zero is infinity. Similarly, expressions like 0/0 are undefined.
Just say that it equals "undefined." In summary with all of this, we can say that zero over 1 equals zero. We can say that zero over zero equals "undefined." And of course, last but not least, that we're a lot of times faced with, is 1 divided by zero, which is still undefined.
Infinity is not a real number, it is an idea. An idea of something without an end. Infinity cannot be measured.
In clock arithmetic, 8 + 5 equals one. Of course, even in clock arithmetic, the numbers don't really end. Once you reach the number 12, you can go back to one and start again. If you're curious about numbers, chances are you've also heard of infinity.
Infinity is not a real number and is only used as a representation for an extremely large real number. Dividing 1 by infinity is equal to zero. In general, any real number divided by infinity is zero, and the quotient of nonzero real numbers that divide infinity is infinity.
Positive numbers are greater than 0, and negative numbers are less than 0.
Zero Dimensions: A point has zero dimensions. There's no length, height, width, or volume. Its only property is its location. You could have a collection of points, such as the endpoints of a line or the corners of a square, but it would still be a zero-dimensional object.
Positive Numbers (n): are numbers greater than zero; Negative Numbers (n): are numbers less than zero; Math Symbols: Read As.
Answer: Infinity to the power of zero is equal to one.
Let's understand the solution in detail. Explanation: ∞0 is an indeterminate form, that is, the value can't be determined exactly.
There are actually many different sizes or levels of infinity; some infinite sets are vastly larger than other infinite sets. The theory of infinite sets was developed in the late nineteenth century by the brilliant mathematician Georg Cantor.
Is infinity over infinity 1 or 0?
Infinity is not a real number and is only used as a representation of an extremely large real number. Dividing 1 by infinity is equal to zero. In general, any real number divided by infinity is zero, and the quotient of nonzero real numbers that divide infinity is infinity.
Digit. A digit is a single symbol used to make numerals. 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 are the ten digits we use in everyday numerals.
The first time we have a record of zero being understood as both a symbol and as a value in its own right was in India. About 650 AD the mathematician Brahmagupta, amongst others, used small dots under numbers to represent a zero.
The first recorded zero appeared in Mesopotamia around 3 B.C. The Mayans invented it independently circa 4 A.D. It was later devised in India in the mid-fifth century, spread to Cambodia near the end of the seventh century, and into China and the Islamic countries at the end of the eighth.
As the number line is endless, it is infinite, but as it also does not have a beginning. As such, in the number line, we represent two types of infinity: a positive infinity, indicating that the line has no end, and a negative infinity, which indicates that the line representing the numbers has no beginning either.
Infinity is not a number, but if it were, it would be the largest number. Of course, such a largest number does not exist in a strict sense: if some number n n n were the largest number, then n + 1 n+1 n+1 would be even larger, leading to a contradiction. Hence infinity is a concept rather than a number.
Infinity is a "real" and useful concept. However, infinity is not a member of the mathematically defined set of "real numbers" and, therefore, it is not a number on the real number line.
With this definition, there is nothing (meaning: no real numbers) larger than infinity.
So that's the answer to your question. If infinity plus one is infinity, the only number that could be just before infinity is also infinity!
A googol is 10 to the 100th power, which is 1 followed by 100 zeros. While this is an unimaginably large number, there's still an infinite quantity of larger numbers. One such number is googolplex, which is 10 to the power of a googol, or 1 followed by a googol of zeros.
What is a number greater than 0 called?
The whole numbers greater than 0 are called positive integers . Their opposites, which are less than 0 , are called negative integers . Zero is neither positive nor negative.
Negative number. A number less than 0 is called a negative number.
Whole numbers together with negative natural number constitute integers. The largest negative integer is -1.
Answer. as we know -1 has a value but we also know that it is an negative integer and all negative integers are smaller than 0. so 0 is bigger than -1.
2 and -2 are opposites because they are both 2 places from 0 but they are on opposite sides of 0. (The opposite of 9 is -9. The opposite of -16 is 16.) The Opposite of zero is zero!
SOLVED: The smallest whole number that is greater than zero is 1.
Signed numbers
Positive numbers: Real numbers that are greater than zero. Negative numbers: Real numbers that are less than zero. Because zero itself has no sign, neither the positive numbers nor the negative numbers include zero.
noun, plural cen·til·lions, (as after a numeral) cen·til·lion. a cardinal number represented in the U.S. by 1 followed by 303 zeros, and in Great Britain by 1 followed by 600 zeros.
Google is the word that is more common to us now, and so it is sometimes mistakenly used as a noun to refer to the number 10100. That number is a googol, so named by Milton Sirotta, the nephew of the American mathematician Edward Kasner, who was working with large numbers like 10100.
Zillion is not actually a real number; it's simply a term used to refer to an undetermined but extremely large quantity.