Additive & Multiplicative properties of Real Numbers[] KPK[] Q#4 OF 1.1/9TH NEW COURSE/ EASY WAY

Additive properties deal with sum (0 is the identity, is the inverse). Multiplicative properties deal with product (1 is the identity, is the inverse). Additive Properties of Real Numbers These are properties related to addition (+). 1. Closure Property: If , then . (The sum of two real numbers is always a real number.) 2. Commutative Property: . (Changing the order of numbers does not change the sum.) 3. Associative Property: . (Grouping does not affect the sum.) 4. Identity Property: . (Zero is the additive identity.) 5. Inverse Property: For every real number , there exists such that . (Every real number has an additive inverse.) --- 🔹 Multiplicative Properties of Real Numbers These are properties related to multiplication (×). 1. Closure Property: If , then . (The product of two real numbers is always a real number.) 2. Commutative Property: . (Order does not change the product.) 3. Associative Property: . (Grouping does not affect the product.) 4. Identity Property: . (One is the multiplicative identity.) 5. Inverse Property: For every real number , there exists such that . (Every non-zero real number has a multiplicative inverse.) keywords Additive Properties Keywords Additive closure Additive commutative property Additive associative property Additive identity (zero property) Additive inverse Sum of real numbers Properties of addition Zero as identity Multiplicative Properties Keywords Multiplicative closure Multiplicative commutative property Multiplicative associative property Multiplicative identity (one property) Multiplicative inverse (reciprocal) Product of real numbers Properties of multiplication One as identity General Keywords Real numbers properties Addition and multiplication laws Closure law Identity law Inverse law Commutative law Associative law General #RealNumbers #PropertiesOfRealNumbers #MathLearning #Mathematics #NumberProperties #AdditiveProperties #AdditiveClosure #AdditiveCommutative #AdditiveAssociative #AdditiveIdentity #AdditiveInverse #AdditionProperties #MultiplicativeProperties #MultiplicativeClosure #MultiplicativeCommutative #MultiplicativeAssociative #MultiplicativeIdentity #MultiplicativeInverse #MultiplicationProperties #MathForBeginners #LearnMathOnline #MathMadeEasy #HighSchoolMath #AlgebraBasics #StudyMath