### GCSE Basic Maths

### INTRODUCTION

The simple concepts related to mathematics is termed as BASIC MATHS. The primary operations such as addition, subtraction, multiplication and division come under simple concepts. We employ basic mathematics in almost every day of our life. Moreover, it is important for each individual being aware these concepts.

It is essential to know the different properties of these operations and also the relation between them.

### IMPORTANT PROPERTIES

#### Properties of Addition:

* Identity property : **a + 0 = a**

* Inverse property:** a + (-a) = 0**

*Commutative property:** a + b = b + a**

*Associative property:** a + (b + c) = (a + b) + c**

#### Properties of Subtraction:

*Identity property :** a – 0 = a**

*Commutative property :**a – b ≠ b – a**

*Associative property:** a – (b – c) ≠ (a – b) – c**

#### Properties of Multiplication:

*Property of zero: **a . 0 = 0**

*Identity property :** a . 1 = a**

*Inverse property: ** a . = 1 ,when a≠0**

*Commutative property:** a . b = b . a**

*Associative property: **a . (b . c) = (a . b) . c**

*Distributive property:** a . (b + c ) = (a.b) + (a.c)**

#### Properties of Division:

*Property of zero: =** 0 , when a≠0**

*Property of one: =** 1 ,when a≠0**

*Identity property: = **a**

* is Undefined.

**BODMAS RULE:**

It explains the order of operations to solve an expression containing all the basic operations. It is abbreviated as Brackets, Of, Division, Multiplication, Addition and Subtraction. First, need to solve the bracket( (), {}, []) followed by of (powers and roots, etc.), then division, multiplication, addition and subtraction from left to right.

Finally, to conclude, a thorough understanding of these basic concepts is quite essential to handle any other advanced math topics.