**Category : **9th Class

Real numbers are the collection of rational and irrational numbers or In other words we can say that a number whose square is always non-negative, is know as real numbers.

**Note:**

(i) There are infinite real numbers between any two distinct real numbers.

(ii)

** Properties of Real Numbers**

In this section we will study about addition and multiplication properties of real number.

**Addition Properties**

(i) The sum of two real numbers is always real.

(ii) For any two real numbers A + B = B + A.

(iii) For any three real numbers A, B and C (A + B) + C = A + (B + C).

(iv) O is the additive identity of real number.

(v) For a real number (a), (-A) is the additive inverse.

**Multiplication Properties**

(i) The product of two real numbers is always a real number.

(ii) For any two real numbers A and B, AB = BA.

(iii) For any three real numbers A, B and C, .

(iv) 1 is the multiplicative identity for every real number.

(v) For every non-zero real number A, is the multiplicative inverse.

(vi) For any three real numbers A, Band C

*play_arrow*Introduction*play_arrow*Decimal Representation of Numbers*play_arrow*Irrational Number*play_arrow*Real Number*play_arrow*Rationalization

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