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What is the largest number in the world?

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  • Difficulty Level : Basic
  • Last Updated : 02 Dec, 2021

Numbers are the mathematical figures or values that are involved in mathematical operations like addition, subtraction, multiplication, and division. These values are also known as numerals and are generally used for determining time, measurement, labeling of products, sales, trading, etc in our daily life.

Numbers are the mathematical values used for the purpose of counting, measuring, and other arithmetic calculations. Some examples of numbers are integers, whole numbers, natural numbers, rational and irrational numbers, etc.

The number system is a way of representing these mathematical figures in different forms. The numerals in the number system are categorized into different types of numbers for example prime numbers, odd numbers, even numbers, rational numbers, whole numbers, etc. The system determines whether the numbers will be expressed in the form of figures or words accordingly.

A Number system is defined as a way of standard representation to express numbers. It is the unique way of representation in which numbers are represented in arithmetic and algebraic structure.

Types of Number System

As we studied that number systems are the standardized systems to express mathematical figures either in the form of figures or words. On the basis of the way of expression, number systems are categorized into four common types.

  • Decimal Number System: The decimal number system represents numbers in expressions of units, tens, hundreds, thousands as it moves ahead from the decimal point. For example, 35 is a value where 5 is at units and 3 is at tens position.
  • Binary Number System:  The number system which involves only two digits is 0 and 1 is called a binary number system. For example,10011011 is a binary number.
  • Octal Number System: It is the number system most applicable in computer applications that uses numbers from 0 to 7 for the representation of values. For example 1535
  • Hexadecimal System: This system includes the method of representing numbers with figures as well as alphabets. In a hexadecimal binary system, the numbers are first expressed in terms of the decimal system and then with alphabets from A to F.

Types Of Numbers

Numerals are the mathematical figures which represent certain values in mathematical operations. There are different types of numbers categorized into sets by the number system. 

  • Natural numbers: Natural numbers are the set of numbers counting from 1 to infinity. The set of natural numbers is represented by ‘N’. It is the numbers we generally use for counting. The set of natural numbers by is given N=1,2,.3,4,5,6,7,……………
  • Whole numbers: Whole numbers are the set of natural numbers including zero, which counts from 0 to infinity. Whole numbers do not include fractions or decimals. The set of whole numbers is represented by ‘W’. The set of whole numbers is given by W=0,1,2,3,4,5,………………
  • Integers: Integers are the set of numbers including all the positive natural numbers, zero as well as all negative counting numbers which count from negative infinity to positive infinity. The set doesn’t include fractions and decimals. The set of integers is denoted by ‘Z. The set of integers is given by  Z=………..,-5.-4,-3,-2,-1,0,1,2,3,4,,5,………….
  • Decimal numbers: Any numeral value that consists of a decimal point is a decimal number. It can be expressed as 2.5,0.567, etc.
  • Real number: Real numbers are the set numbers that do not include any imaginary value. It includes all the positive integers, negative integers, fractions, and decimal values. It is generally denoted by ‘R”.
  • Complex number: Complex numbers are a set of numbers that include imaginary numbers. It can be expressed as a+bi where “a” and “b” are real numbers. It is denoted by ‘C’.
  • Rational numbers: Rational numbers are the numbers that can be expressed as the ratio of two integers. It includes all the integers and can be expressed in terms of fractions or decimals. It is denoted by ‘Q’.
  • Irrational numbers: Irrational numbers are numbers that cannot be expressed in fractions or ratios of integers. it can be written in decimals and have endless non-repeating digits after the decimal point. It is denoted by ‘P’.

What is the largest number in the world?

A Googolplex is considered to be the biggest number in the world. It is written as 10googol. The number 10googol can also be expressed in the exponential format that will equal 1010^100. While writing the number googol in normal number writing format the probability of losing count is very high. Hence, it is more convenient to express it in the form of exponent and powers.

The number googolplex is so ridiculously large that it is unimaginable to be written down in number writing format. The number hence remains a concept as it is of no use in mathematics for basic calculations.

Sample Questions

Question 1. Which number in the world holds a Guinness world record?

Answer:

Graham’s number holds the Guinness World Record for the biggest specific integer used in a published mathematical proof.

Question 2. Who attempted to write down the number googolplex?

Answer:

 A mathematician Wolfgang H Nitsche attempted to write down the number googolplex and started releasing editions of a book of it.

Question 3. What is a sextillion?

Answer:

A sextillion is a number counting one million million million million million million, in the exponential form it is written as  1036 for the long scale countries. The number is symbolically represented by SX.

Question 4. How many billions equal to one quadrillion?

Answer:

 1000000 billions equal to one quadrillion.

Question 5. Does a set of counting numbers ever end?

Answer:

No, the numbers in the universe have no end.

Question 6. Is infinity a real number?

Answer:

Infinity isn’t a number as it is not mathematically represented in figures. Infinity is more of a concept rather than being a definite real number.

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