GCSE Maths Basics from GCSEMaths4fun.co.uk
INTRODUCTION
The simple concepts related to mathematics comes under 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 to be aware of 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/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/a)= 0, when a≠0
*Property of one: (a/a) = 1, when a≠0
*Identity property: (a/1) = a
- (a/0) 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, you need to solve the bracket( (), {}, []) followed by powers and roots, 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.
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