Number Words

Number

Definition

It is a mathematical symbol that is used to count, measure, and label/sort/order. There are different kinds of numbers such as.

  • Natural Numbers
  • Whole Numbers
  • Integers
  • Rational Numbers
  • Irrational Numbers
  • Real Numbers
  • Complex Numbers

Examples

Example of numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, 0.

Need of Numbers

Ancient humans used to count animals and other useful things by marking on bones, woods, stone, or walls. To count things, they used to draw a line ( | ) for one and similarly four such lines they would draw and the fifth line would be a cross over others straight lines to show that the set of 5 has been completed. Although this method was feasible or practicable, however, for large counting this method was ill-considered.

Brief History

The evolution of today’s numbers, that are 0,1,2,3,4,5,6,7,8,9, can be traced back. In ancient times, there were numeral systems developed to represent numbers. The first such known system was the Egyptian ciphered numeral system, followed by the Greeks’ Ionic / Ionian / Milesian / Alexandrian Numerals. Later, the Roman numeral system remained popular throughout Europe until in the 1st and 4th centuries, the Indian mathematicians introduced the Hindu-Arabic Numeral System.

Al-Khwarizmi and Al-Kindi were amongst the other Muslim mathematicians who spread the Hindu-Arab Numeral System in Europe through their books. Thus, this system of numeration was famous by the name ‘Arabic Numerals’ in Europe.

Uses of Numbers

Following are some uses of numbers.

  • They are accepted and understood globally by everyone irrespective of the region they may belong to.
  • Using numbers helps us to predict data and analyze the statistics better.
  • It is used in phone numbers, or mobile numbers to keep the identity of the caller different from others.
  • Every locker uses a number which distinguish it from other lockers and the owner must remember his locker number to avoid confusion.
  • Bar code, which primarily consist of numbers, is used in marts to identify things and in hospitals to give each patient their identity.
  • Numbers are basics for mathematics and its related subjects.
  • Numbers are used to show weather or human body temperature.
  • Books’ pages are also given numbers called page numbers
  • In sports, numbers are used to show the score of a player or sportsman / sportswoman.

Number Words

Definition

Number words are the representation of numbers in word form. It is also called ‘number in words’ or ‘number names’. For example, we can represent the number 1 in words as ‘One’. Similarly, the number 0 can be written as ‘Zero’.

Rules

To write any number in words or figures we must follow some rules or steps. Those are.

Rule 1:

Always remember the position of a digit or number such as unit, tens, hundreds etc. If the number is a single digit it must belong to category of 0 – 9 and it is always in units or one’s place. Similarly, if it is a two-digit number, it must be in the range of 10 – 99 and it can be written in both unit and ten columns.

  • 1 – Ones / Units column.
  • 10 – Tens and Unit column from left to right.
  • 100 – Hundred, tens, and unit’s column from left to right.
  • 1000 – Thousand, hundreds, tens, and unit column from left to right.
Ten ThousandThousandHundredTensUnit
10000

Rule 2:

For the numbers between 0 – 20, we must remember their names such as, zero, one, two, three, four, five, six, seven, eight, nine, ten, eleven, twelve, thirteen, fourteen, fifteen, sixteen, seventeen, eighteen, nineteen, twenty. We can always refer to the number chart below.

Rule 3:

We have special names for these multiple of tens; 10, 20, 30, 40, 50, 60, 70, 80, 90, 100. They are ten, twenty, thirty, forty, fifty, sixty, seventy, eighty, ninety, hundred.

Rule 4:

For the rest of numbers i.e., 21 – 29 we write the prefix twenty which is followed by one, two, three for 21, 22, 23. Similarly, for 31 – 39 we use the prefix thirty and followed by one, two, three for 31, 32, and 33 respectively. This rule applies to 41 – 49, 51 – 59, 61 – 69, 71 – 79, 81 – 89, 91 – 99, using the prefixes forty, fifty, sixty, seventy, eight, and ninety respectively.

Rule 5:

Numbers above 100 uses the same prefix rule, however, there is no exception or special name for 110, 120, 130, 140, 150, 160, 170, 180, …. Rather, we repeat the special names mentioned in rule 2 and 3. So, prefix one hundred (or hundred) followed by ten, twenty, thirty, forty, fifty, sixty, seventy, eighty, …. For a number between 100 – 110 we can explain it by an example.

HundredTensUnit
102
One hundred two

For a number between 110 – 120, let us take an example of 113. We have 13 in the tens place; we can use rule number 2. Prefix hundred will be used.

HundredTensUnit
113
One hundred thirteen

For a number between 150 – 160, we pick 159 as an example. We have 59 in the tens place which can be written in words as nine preceded by the prefix fifty according to rule number 4. We also have a one in the hundred places, so we will use the prefix hundred as well.

HundredTensUnit
159
One hundred fifty-nine

Rule 6:

It can be called as the big number rule. We have special names for big numbers such as thousand for 1000, a million for 1,000,000, a billion for 1,000,000,000.

 Numbering Systems

The basic rules are the same, however, to represent a larger number such as 100000, 1000000, we use two systems which can be used for numbering i.e., writing numbers into words. Those are the international numbering system and the Indian numbering system.

International Numbering System

The international numbering system is used globally. This numbering system uses the same rules as described above, however, for a large number such as 1000 thousand is called Million. 1000 million is called trillion.

In terms of power, the international system can be expressed as 100, 101, 102, 103, 104, 105 for one, tens, hundreds, thousands, ten thousand, hundred thousand. Rest of the higher powers uses a general formula which is 106+3n. If n=0, it is 106 which corresponds to one Million. If n=1, term simplifies to 109 which is one Billion (1000 million). Similarly, for n=2, it is one trillion (1000 billion) and for n=3, it is one Quadrillion (1000 trillion).

Separator is a comma that is placed in bigger or larger numbers. When writing a number without separations there is high chances of a digit being ignored or missed. Therefore, a separator or simply a comma ( , ) is used to avoid confusion while writing large numbers.

In the international system for numbering, a separator is placed every three digits from right to left. For example

  • 531,164 – Five hundred and thirty-one thousand, one hundred and sixty-four.
  • 10,112,884 – Ten million, one hundred and twelve thousand, eight hundred and eighty-four.
  • 3,678,329,414 – Three billion, six hundred and seventy-eight million, three hundred and twenty-nine thousand, four hundred and fourteen.
  • 679,391,284,333 – Six hundred and seventy-nine billion, three hundred and ninety-one million, two hundred and eighty-four thousand, three hundred and thirty-three.
Hundred BillionTen BillionBillionHundred MillionTen MillionMillionHundred thousandTen thousandThousandsHundredsTensOnes
      531164
    10112884
  3678329414
679391284333

Indian Numbering System

Indian numbering system is most widely used in the countries like India, Pakistan, Bangladesh, Bhutan, Maldives, Nepal. In the Indian numbering system, we use the term one Lac for 100,000. Similarly, we use ten Lac for 1000000, One Crore for 10 million.

The Indian numbering system can be expressed in the powers of 10 such as 100, 101, 102, 103, 104 for ones, tens, hundreds, thousands, ten thousand. Higher power of 10 uses a general formula for their naming which is 105+2n, meaning that for every odd power of 10, we will have a different name for the number. For n=0, formula becomes 105 which is called One Lac (lakh). For n=1, the general formula reduces to 107 which is One Crore. It continues as 109 for Arab, 1011 for Kharab.

In the Indian numbering system, separators are used differently than the international system. Starting from the right most digit, first separator is after three digits, then separator is placed every two digits. For example

  • 4,29,124 – Four lakhs, twenty-nine thousand, one hundred and twenty-four.
  • 1,00,12,981 – One Crore, twelve thousand, nine hundred, and eighty-one.
  • 1,21,42,56,126 – One Arab, twenty-one crore, forty-two lakhs, fifty-six thousand, one hundred, and twenty-six.
  • 4,23,56,76,91,999 – Four Kharab, twenty-three Arabs, fifty-six crores, seventy-six lakhs, ninety-one thousand, nine hundred, and ninety-nine.
KharabTen ArabsArabTen CroresCroresTen LakhsOne LakhsTen thousandThousandsHundredsTensOnes
      429124
    10012981
  1214256126
423567691999

Number Words Chart 1 – 10

The numbers from 1 to 10 are expressed in words in the following table.

NumberWordsNumberWords
1One6Six
2Two7Seven
3Three8Eight
4Four9Nine
5Five10Ten

Number Words Chart 11 – 20

The numbers from 11 to 20 are expressed in words in the following table.

NumberWordsNumberWords
11Eleven16Sixteen
12Twelve17Seventeen
13Thirteen18Eighteen
14Fourteen19Nineteen
15Fifteen20Twenty

Number Words Chart 21 – 40

Numbers from 21 to 40 in words are given in the following table.

NumberWordsNumberWords
21Twenty-One31Thirty-One
22Twenty-Two32Thirty-Two
23Twenty-Three33Thirty-Three
24Twenty-Four34Thirty-Four
25Twenty-Five35Thirty-Five
26Twenty-Six36Thirty-Six
27Twenty-Seven37Thirty-Seven
28Twenty-Eight38Thirty-Eight
29Twenty-Nine39Thirty-Nine
30Thirty40Forty

Number Word Chart 41 – 60

Number in words from 41 to 60 are in the following table.

NumberWordsNumberWords
41Forty-One51Fifty-One
42Forty-Two52Fifty-Two
43Forty-Three53Fifty-Three
44Forty-Four54Fifty-Four
45Forty-Five55Fifty-Five
46Forty-Six56Fifty-Six
47Forty-Seven57Fifty-Seven
48Forty-Eight58Fifty-Eight
49Forty-Nine59Fifty-Nine
50Fifty60Sixty

Number Words Chart 61 – 80

Number in figures or words are in the following table.

NumberWordsNumberWords
61Sixty-One71Seventy-One
62Sixty-Two72Seventy-Two
63Sixty-Three73Seventy-Three
64Sixty-Four74Seventy-Four
65Sixty-Five75Seventy-Five
66Sixty-Six76Seventy-Six
67Sixty-Seven77Seventy-Seven
68Sixty-Eight78Seventy-Eight
69Sixty-Nine79Seventy-Nine
70Seventy80Eighty

Number in Words Chart 81 – 100

NumberWordsNumberWords
81Eighty-One91Ninety-One
82Eighty-Two92Ninety-Two
83Eighty-Three93Ninety-Three
84Eighty-Four94Ninety-Four
85Eighty-Five95Ninety-Five
86Eighty-Six96Ninety-Six
87Eighty-Seven97Ninety-Seven
88Eighty-Eight98Ninety-Eight
89Eighty-Nine99Ninety-Nine
90Ninety100Hundred

Number Words – teen family chart

The numbers that belong to teen family are listed.

Teen Family
NumberWords
13Thirteen
14Fourteen
15Fifteen
16Sixteen
17Seventeen
18Eighteen
19Nineteen

Number Words – Ty Family Chart

Numbers that are in ty – family are.

Ty Family
NumberWords
20Twenty
30Thirty
40Forty
50Fifty
60Sixty
70Seventy
80Eighty
90Ninety

Multiples of Hundred Chart

The multiples of hundreds are 100, 200, 300, 400, 500, 600, 700, 800, 900. They are expressed in words by adding prefix One, Two, Three to the word hundred such as as ‘One Hundred’, ‘Two Hundred’, ‘Three Hundred’, Four Hundred’, ‘Five Hundred’, ‘Six Hundred’, ‘Seven Hundred’, ‘Eight Hundred’, ‘Nine Hundred’.

Multiples of Hundred
100Hundred (One Hundred)
200Two Hundred
300Three Hundred
400Four Hundred
500Five Hundred
600Six Hundred
700Seven Hundred
800Eight Hundred
900Nine Hundred

Multiples of Thousands

A thousand is basically ten hundred. It is written as 1000. Multiples of thousands have the prefix One, Two, Three and so on followed by the word thousand itself. For example, ‘One Thousand’, ‘Two Thousand’, ‘Three Thousand’, ‘Four Thousand’, ‘Five Thousand’, ‘Six Thousand’, ‘Seven Thousand’, ‘Eight Thousand’, ‘Nine Thousand’, ‘Ten Thousand’. They are listed in the following table.

Multiple of Thousands
NumberWordsNumberWords
1000One Thousand11000Eleven Thousand
2000Two Thousand12000Twelve Thousand
3000Three Thousand13000Thirteen Thousand
4000Four Thousand14000Fourteen Thousand
5000Five Thousand15000Fifteen Thousand
6000Six Thousand16000Sixteen Thousand
7000Seven Thousand17000Seventeen Thousand
8000Eight Thousand18000Eighteen Thousand
9000Nine Thousand19000Nineteen Thousand
10000Ten Thousand20000Twenty Thousand
Multiple of Thousands
NumberWordsNumberWords
21000Twenty-One Thousand31000Thirty-One Thousand
22000Twenty-Two Thousand32000Thirty-Two Thousand
23000Twenty-Three Thousand33000Thirty-Three Thousand
24000Twenty-Four Thousand34000Thirty-Four Thousand
25000Twenty-Five Thousand35000Thirty-Five Thousand
26000Twenty-Six Thousand36000Thirty-Six Thousand
27000Twenty-Seven Thousand37000Thirty-Seven Thousand
28000Twenty-Eight Thousand38000Thirty-Eight Thousand
29000Twenty-Nine Thousand39000Thirty-Nine Thousand
30000Thirty Thousand40000Forty Thousand
Multiple of Thousands
NumberWordsNumberWords
41000Forty-One Thousand51000Fifty-One Thousand
42000Forty-Two Thousand52000Fifty-Two Thousand
43000Forty-Three Thousand53000Fifty-Three Thousand
44000Forty-Four Thousand54000Fifty-Four Thousand
45000Forty-Five Thousand55000Fifty-Five Thousand
46000Forty-Six Thousand56000Fifty-Six Thousand
47000Forty-Seven Thousand57000Fifty-Seven Thousand
48000Forty-Eight Thousand58000Fifty-Eight Thousand
49000Forty-Nine Thousand59000Fifty-Nine Thousand
50000Fifty Thousand60000Sixty Thousand
Multiple of Thousands
NumberWordsNumberWords
61000Sixty-One Thousand71000Seventy-One Thousand
62000Sixty-Two Thousand72000Seventy-Two Thousand
63000Sixty-Three Thousand73000Seventy-Three Thousand
64000Sixty-Four Thousand74000Seventy-Four Thousand
65000Sixty-Five Thousand75000Seventy-Five Thousand
66000Sixty-Six Thousand76000Seventy-Six Thousand
67000Sixty-Seven Thousand77000Seventy-Seven Thousand
68000Sixty-Eight Thousand78000Seventy-Eight Thousand
69000Sixty-Nine Thousand79000Seventy-Nine Thousand
70000Seventy Thousand80000Eighty Thousand
Multiple of Thousands
NumberWordsNumberWords
81000Eighty-One Thousand91000Ninety-One Thousand
82000Eighty-Two Thousand92000Ninety-Two Thousand
83000Eighty-Three Thousand93000Ninety-Three Thousand
84000Eighty-Four Thousand94000Ninety-Four Thousand
85000Eighty-Five Thousand95000Ninety-Five Thousand
86000Eighty-Six Thousand96000Ninety-Six Thousand
87000Eighty-Seven Thousand97000Ninety-Seven Thousand
88000Eighty-Eight Thousand98000Ninety-Eight Thousand
89000Eighty-Nine Thousand99000Ninety-Nine Thousand
90000Ninety Thousand1,000,000One-Hundred Thousand

Example No. 1

Write the number 24 + 56 – 6 in words.

Solution

To write the number in words, we must solve the given expression first.

24 + 56 – 6

Using DMAS (Division-Multiplication-Addition-Subtraction) Rule.

Now the expression becomes, 80 – 6. We can do subtraction by regrouping. Since in unit column the minuend (0) is smaller than the subtrahend (6), we must regroup and borrow one (1) from the ten column such that the minuend of unit column become 10. Now 10 – 6 = 4.

In the ten column it is 7 – 0 which gives 7. So, the difference of 80 – 6 is 74.

To write 74 in words, we can write four for 4 preceded by the prefix seventy for 7 in tens place.

74Seventy-Four

Example No. 2

Simplify the expression and write in words the value of expression i.e., 71 + 19 – (67 + 11)

Solution

To simplify this expression, we first solve the brackets i.e., 67 + 11.

Since 67 + 11 = 78, the expression simplifies to 71 + 19 – 78. We will use DMAS (Division-Multiplication-Addition-Subtraction) rule from here onwards.

Since 71 + 19 = 90, the expression simplifies to 90 – 78. In subtraction, we will be doing regrouping because in unit column minuend is less than subtrahend. When we borrow one (1) from tens column, the minuend in unit column becomes 10. So, 10 – 8 is 2. We can write it below the unit column.

In tens column it is not 9 but 8 (due to regrouping), so 8 – 7 is 1. The answer is 12.

We can write this in words by applying rule number 2.

12Twelve

Example No. 3

How to write 8,452,956,752,821 in words using international system of numbering.

Answer

In international system of numbering, the columns from right to left are.

  • Unit
  • Tens
  • Hundred
  • Thousand
  • Ten thousand
  • Hundred Thousand
  • Million
  • Ten Million
  • Hundred Million
  • Billion
  • Ten Billion
  • Hundred Billion
  • Trillion

Since, we have thirteen (13) columns, so we will go up to trillion only. The number can be written in words as.

8,452,956,752,821

Eight trillion, four hundred and fifty-two billion, nine hundred and fifty-six million, seven hundred and fifty-two thousand, eight hundred and twenty-one.

Example No. 4

How to write 84,52,95,67,52,821 in words using Indian system of numbering.

Answer

In Indian system of numbering, the columns from right to left are.

  • Unit
  • Tens
  • Hundred
  • Thousand
  • Ten Thousand
  • Lakh
  • Ten Lakh
  • Crore
  • Ten Crore
  • Arab
  • Ten Arab
  • Kharab
  • Ten Kharab

Since, we have thirteen (13) columns, so we will go up to trillion only. The number can be written in words as.

84,52,95,67,52,821

Eighty-four Kharab, fifty-two Arabs, ninety-five crores, sixty-seven lakhs, fifty-two thousand, eight hundred and twenty-one.

References

[1]“BYJU’S,” BYJU’S, 2021. [Online]. Available: https://byjus.com/maths/numbers-in-words/. [Accessed 21 9 2021].
[2]“CUEMATH,” CUEMATH, 2021. [Online]. Available: https://www.cuemath.com/numbers/number-names/. [Accessed 22 9 2021].
[3]W. L. Hosch, “The Arabic Numeral System.,” Hindu-Arabic numerals, p. 1, 8 9 2017.
[4]C. Brezina, “A Scholar of Baghdad,” in Al-Khwarizmi: The Inventor of Algebra, New York, The Rosen publishing Group, Inc, 2006, pp. 39-40.
[5]“Prezi,” Prezi Inc., 2021. [Online]. Available: https://prezi.com/qrs6rqz7eliw/why-do-we-use-numbers/. [Accessed 24 9 2021].