Introduction
The number system discusses numbers and the two systems to write numbers are the Roman numeral system and Hindu Arabic system. These systems were developed by the ancient mathematicians and are still in use worldwide.
The Roman numeral system which originated from ancient Rome used the letters from Latin as the symbols to write numbers. Hindu Arabic system was developed by Indian mathematicians from the Ist to the 4th century. Later in the 14th century the Romans had accepted the Hindu Arabic system also.
The different types of numbers can be whole, natural, integers, rational etc. It includes study of ratios, fractions, decimals, prime and composite also. Factors and multiples to find LCM and GCD, rounding off and estimations are the other important concepts that are studied in the number system.
Number System lessons
ARITHMETIC > NUMBER SYSTEM
Roman And Hindu Arabic Numeral Systems With Rules & Notations
What are numbers and numeral systems? Learn how to write and convert Roman into Hindu Arabic Number System? Download and practice with worksheets
Table of contents
- What is a unit?
- Number
- Numeral
- Numeral Systems
- Convert Romans into Hindu Arabic
- Important rules for roman numbers
- List of Hindu arabic numerals
- List of Roman numerals
Rupinder Kaur
Aug 18, 2026
Numbers
ARITHMETIC > NUMBER SYSTEM
Types of Numbers Used in Math With Examples
Get the list of types of numbers in arithmetic with their definitions and simple examples to understand. Practice & solve questions using free worksheets.
Table of contents
- Natural number
- Whole number
- Integers
- Rational numbers
- Irrational numbers
- Real number
- Imaginary number
- Complex number
- More types of numbers
- Additive inverse of a number
Rupinder Kaur
Aug 18, 2026
Numbers Rounding off
ARITHMETIC > NUMBER SYSTEM
Face And Place Values Of Digits And Comparison Of Numbers
How to calculate place value of a number? Learn local and true value of a digit and comparison of two numbers with solved examples and free worksheets.
Table of contents
- Digit
- Face value
- Value of place
- Place value
- Compare numbers using place value
Rupinder Kaur
Aug 18, 2026
Numbers
ARITHMETIC > NUMBER SYSTEM
Prime And Composite Numbers With Sieve Of Eratosthenes
How prime and composite numbers can be represented with diagrams? Check if a number is prime or not using Sieve of Eratosthenes.
Table of contents
- Prime number
- Composite number
- How to find prime numbers?
- Coprimes
- Twin prime
- Prime triplets
Rupinder Kaur
Aug 18, 2026
Numbers
ARITHMETIC > NUMBER SYSTEM
Fractions Types, Representation With Diagrams And Conversions
Understand fractions in an easy way using diagrams. Know the like, unit, improper and mixed fractions with conversions. Practice using free worksheets.
Table of contents
- Definition
- How to read fractions?
- Understand fractions using diagram
- Types
- What is an equivalent fraction?
- Convert improper to mixed fraction
- Convert mixed to improper fraction
- Real life example
Rupinder Kaur
Aug 18, 2026
Fractions
ARITHMETIC > NUMBER SYSTEM
Compare And Order Fractions With Same And Different Denominators
What are the methods to compare fractions with same & different denominators? Learn how to write fractions in ascending and descending order with examples.
Table of contents
- Comparing like fractions
- Comparing unlike fractions
- Comparing unit fractions
- Cross multiplication method
- Ordering of fractions
Rupinder Kaur
Aug 18, 2026
Fractions
ARITHMETIC > NUMBER SYSTEM
Fraction's Addition, Subtraction, Multiplication And Division
Learn how to add, subtract, multiply, and divide fractions of same and different denominators with examples. Practice questions by solving free worksheets.
Table of contents
-
Addition of fractions
- With same denominators (Like fractions)
- With different denominators (Unlike fractions)
-
Subtraction of fractions
- With same denominators
- With different denominators
-
Multiplication of fractions
- With whole number
- A fraction by fraction
- Division of fractions
Rupinder Kaur
Aug 18, 2026
Fractions
ARITHMETIC > NUMBER SYSTEM
Highest Common Factor Properties And Methods To Calculate
How to calculate HCF or GCD using common factors? Learn Euclidean algorithm with continued division method. Familiar to properties of HCF & perfect number.
Table of contents
- Definition
- Key terms of HCF
- Methods to find HCF
- properties of HCF
- What is the perfect number?
Rupinder Kaur
Aug 18, 2026
Factorization
ARITHMETIC > NUMBER SYSTEM
Least Common Multiple Properties And Methods To Calculate
How to calculate LCM of numbers with the listing multiple, prime factorization & division methods? Learn important properties of the lowest common multiple
Table of contents
- Definition
-
Key terms of LCM
- Multiples of a number
- Common multiples of numbers
-
Methods to find LCM
- Listing multiple method
- Prime factorization method
- Division method
-
Properties of LCM
- Property of co-primes
- Multiple of Number and LCM
- Property of primes
- LCM always greater
- Relation of LCM and HCF
Rupinder Kaur
Aug 18, 2026
Factorization
ARITHMETIC > NUMBER SYSTEM
Ratio, Proportion With Properties & The Unitary Method
Know the key terms of ratios. What are the properties of proportions and unitary method to solve word problems? Practice questions with free worksheets.
Table of contents
-
Ratios
- Antecedent
- Consequent
-
Proportions
- Extremes
- Means
- Cross product rule
- Continued proportion
- Properties of proportion
-
Unitary method
- Steps to solve word problems
Rupinder Kaur
Aug 18, 2026
Fractions
ARITHMETIC > NUMBER SYSTEM
Rational Numbers With Types, Standard Form & Plotting On Number Line
Learn the definition, types, equivalent, and comparisons of rational numbers. What are the standard form & steps to represent it on the number line?
Table of contents
- Definition
- Types
- Standard form
- Equivalent rational number
- Comparison of rational numbers
- Plotting on number line
Rupinder Kaur
Jul 13, 2026
Numbers
ARITHMETIC > NUMBER SYSTEM
Divisibility Rules Of Numbers 2, 3, 4, 5, 6, 7, 8, 9, 10, And 11
What is the test of divisibility to check if a number is divisible by other numbers from 2 to 11. Learn each rule with solved examples and free worksheets.
Table of contents
- What are divisibility rules?
- Divisibility by 2
- Divisibility by 3
- Divisibility by 4
- Divisibility by 5
- Divisibility by 6
- Divisibility by 7
- Divisibility by 8
- Divisibility by 9
- Divisibility by 10
- Divisibility by 11
Rupinder Kaur
Aug 18, 2026
Numbers
ARITHMETIC > NUMBER SYSTEM
Decimal Numeral System And Converting Decimals to Fractions
What are the parts and expanded form of decimal numbers? Learn how to read, write decimals and methods to convert to fractions with solved examples.
Table of contents
- Decimal numeral system
- Parts of decimal number
- Place value chart
- How to read decimal number?
- Expanded form
- Convert fractions to decimals
- Convert decimals to fractions
- Convert mixed fractions to decimals
Rupinder Kaur
Aug 18, 2026
Decimals Fractions Numbers
ARITHMETIC > NUMBER SYSTEM
Rounding off Decimal Numbers To The Nearest Places
Learn how to round off decimal numbers to the nearest whole number, tenth, and hundredth places? Learn with examples and practice with free PDF worksheets.
Table of contents
-
Rounding off decimal numbers
- To the nearest whole number
- To tenths place
- To hundredths place
Rupinder Kaur
Jul 13, 2026
Decimals Rounding off
ARITHMETIC > NUMBER SYSTEM
Estimation Of Whole Numbers To The Nearest 10, 100 And 1000 Places
Learn the real life example of estimation. Know the steps of rounding off a whole number to the nearest 10, 100 & 1000. Practice with solved examples.
Table of contents
- What is an estimate in maths?
-
Rounding off
- To the nearest 10
- To the nearest 100
- To the nearest 1000
- General rounding rule of 5
Rupinder Kaur
Jul 09, 2026
Rounding off
ARITHMETIC > NUMBER SYSTEM
Fundamental Theorem Of Arithmetic With Applications
Fundamental Theorem of Arithmetic. Its history, theorem statement, applications in HCF or GCD and LCM with examples.
Table of contents
- Theorem Statement
- Why is prime factorization always unique?
-
Applications
- GCD or HCF
- LCM
- History
Rupinder Kaur
Aug 18, 2026
Factorization
