Maths formulas for Class 8

Maths Formulas for Class 8 PDF

Maths formulas for class 8 include the formulas from all the chapters in NCERT class 8 Maths book. Here you will find all the formulas in a PDF file, including Rational Number, Algebraic Expressions, Exponents and Powers, Mensuration, and other chapters.

These formulas for class 8 are beneficial while preparing for your exam. You can get the printout or read the formulas online. Please note that you need to practice more and more to memorize all the maths formulas. You can also review the essential maths formulas for upcoming classes (i.e., Class 9 and Class 10). We have prepared this formula PDF sheet based on the NCERT & CBSE syllabus. We will soon update Hindi medium study materials.

Maths formulas for class 8 PDF free Download

Rational Numbers Maths Formulas for Class 8

In class 8, you will learn about another type of number. i.e., Rational Numbers. In this section, we have provided maths formulas for class 8 to study rational numbers. You will also find essential properties of rational numbers and other numbers.

If r = p/q, then r is a rational number.

Where p and q are integers and q≠0.

Properties of Numbers

Closure

Number TypeOperationConditionConclusion
Additionfor two whole numbers a and b, a+b is also a whole number.Whole numbers are closed under addition
Whole NumbersSubtractiona-b is not always a whole number (e.g., 4-6 = -2)Whole number are not closed under subtraction
Multiplication3×5 = 15, a whole numberWhole numbers are closed under multiplication
Division4÷6 = 2÷3, not a whole numberWhole numbers are not closed under division
Additionfor two integers a and b, a+b is also an integerClosed under addition
IntegersSubtraction4-6 = -2, an integerClosed under subtraction
Multiplication-3×5 = -15, an integerClosed under multiplication
Division4÷6 = 2÷3, not a whole numberNot closed under division
Addition(1/2) + (2/3) = 7/6, a rational numberRational numbers are closed under addition
Rational NumbersSubtraction(5/2) – (1/2)  = 2, a rational numberClosed under subtraction
Multiplication(3/2) x (1/5) = 3/10, a rational numberClosed under multiplication
Division(2/5) ÷ 0, not definedRational numbers are not closed under division

Commutativity

Number TypeOperationConditionConclusion
Additiona + b = b + aAddition is commutative
Whole NumbersSubtractiona – b ≠ b – aSubtraction is not commutative
Multiplicationa x b = b x aMultiplication is commutative
Divisiona ÷ b ≠ b ÷ aDivision is not commutative
Additiona + b = b + aAddition is commutative
IntegersSubtractiona – b ≠ b – aSubtraction is not commutative
Multiplicationa x b = b x aMultiplication is commutative
Divisiona ÷ b ≠ b ÷ aDivision is not commutative
Adition(-3/8) + (1/9) = 1/9 + (-3/8)Addition is commutative for rational numbers
Rational NumbersSubtraction(1/2) – (2/5) ≠ (2/5) – (1/2)Subtraction is not commutative for rational numbers
Multiplication(2/5) x (3/8) = (3/8) x (2/5)Multiplication is commutative for rational numbers
Division(2/5) ÷ (4/7) ≠ (4/7) ÷ (2/5)Division is not commutative for rational numbers.

Associativity for Whole Numbers & Integers

OperationConditionConclusion
Addition(a + b) + c = a + (b + c)Associative
Subtraction(a – b) – c ≠ a – (b – c)Not Associative
Multiplication(a x b) x c = a x (b x c)Associative
Division(a ÷ b) ÷ c ≠ a ÷ (b ÷ c)Not Associative
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