Infinity is not a number rather it is a concept to represent undefined. The Number System is a system for representing numbers on the Number Line using a collection of symbols and rules. These symbols, which range from 0 to 9, are referred to as digits. The Number System is used to accomplish mathematical computations ranging from complex scientific calculations to simple counting of Toys for a Kid or the number of chocolates left in the box. Numerous types of number systems exist, each with a different base value for its digits.
What is Infinity
Infinity in Mathematics is defined as an Idea that is used to answer questions such as Which is the highest answer we can count? Where does a number line end? etc. The answer to this question is Infinity. Infinity is an endless quantity that has no magnitude and dimensions.
Infinity is both positive and negative. If the infinity is counted on the right-hand side of 0 then it is positive infinity and if infinity is counted on the left-hand side of 0 then it is negative infinity.
Is Infinity a Number?
Numbers are limitless, but infinity is not a number. Infinity is a concept rather than a number. Infinity is not a numerical value. A number denotes a quantity, but infinity denotes the absence of a quantity. It implies “continues indefinitely.” That’s exactly what numbers do. They go on and on indefinitely. Infinity could be represented using the symbol ∞.
Infinity has No End
The concept of infinity refers to something that has no end. Example picture journeying indefinitely, attempting to reach infinity. Consider the words “endless” or “boundless.” When there is no reason for something to come to a halt, it is endless.
Infinity Does Not Increase (Infinity Does Not Grow)
Infinity isn’t “becoming bigger,” it’s already complete. It “goes on and on,” which implies that it is progressing in some way. Infinity, on the other hand, does not do anything; it simply exists.
Infinity is Not a Real Number
Infinity is a concept, not a real number. Something without a beginning or an end. It is impossible to quantify infinity. Infinity cannot be measured.
Infinity can be defined in mathematics using the concept of set theory. We define infinite as the set of numbers that exist in a one-to-one relation between the set and the proper subset of the set itself. For example if we are given a relation x = x + n, where n is any constant. Then this is possible only when x is an infinite number.
There are some very big numbers that are mathematically defined and can be written with surity that are,
Googol: It is a number 1 followed by one hundred zeros (10100)
Googolplex: It is a number 1 followed by Googol zeros (10Googol). It is a very large number and some might consider it the largest number.
What is the Biggest Number in the World?
Biggest Number in the World is consider to be Googolplex but this is not absolutely true as there are various other number defined that are greater than Googolplex, such as Graham’s Number.
Examples on Concept of Infinity
Example 1: Suppose we divide 2/3 and get the answer in decimals. Then the answer to this is 0.6666… and the six after the decimal goes on forever. In that case we say that there are infinite 6 after the decimal in the division of 2/3
Example 2: If we take a number line and observe it, then we can say that numbers on both side of the number lines goes on forever and this means they also stretch till infinity.
Example 3: We say that two parallel lines never meet each other or they meet at infinity.
FAQs on Concept of Infinity
1. What is Infinity?
Infinity in Mathematics is defined as a concept that is used to explain numbers that are never ending, i.e. they are always increasing. It is an idea explaining something that has no ends.
2. Does Infinity belong to Real Numbers?
No. Infinity is not a real number. Infact it is not even a number. It is a mathematical concept that tells us how to visualize numbers or others that are never ending.
3. Why is Zero a Number but Infinity is Not?
Infinity is an idea of limitless increase to a greater and larger number, but not a discrete value, whereas zero 0 is a discrete number.
4. What are Irrational Numbers?
Any Number that can not be written in the form of a/b (where a and b are integers & q is not equal to 0) are known as Irrational number.
5. Is ∞ a Number?
No, ∞ (infinity) is not a number. It is a mathematical concept.
6. Does Infinity have an End?
No, infinity has no end. As it is an endless concept.
7. Is Anything Truly Infinite?
No, nothing as we know is truly infinite. Infinity is a concept that is used to describe very large numbers.
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