__CHAPTER 1 RATIONAL NUMBERS__PROPERTIES OF RATIONAL NUMBERS

__Closure property__- Rational numbers follow closure property under addition, subtraction and multiplication
- Rational numbers are, however, not closed under division.

2. __Commutativity__

- Rational numbers follow commutative property under addition, subtraction and multiplication.
- Rational numbers do not follow commutative property under division.

3. __Associativity__

- Addition and multiplication are associative for rational numbers.
- Subtraction and division are not associative for rational numbers

ZERO

Zero is the identity for addition of rational numbers.

ONE

One is the multiplicative identity for rational numbers.

ADDITIVE INVERSE

The additive inverse of a/b is – a/b and vice versa.

MULTIPLICATIVE INVERSE

The multiplicative inverse is the reciprocal of the rational number i.e. the multiplicative inverse of a/b is b/a.