SIMPLIFICATION - IMPORTANT CONCEPTS
IMPORTANT CONCEPTS
I. ’BODMAS’ Rule: It is the rule that depicts the correct sequence in which the operations are to be executed, so as to find out the value of a given expression.
Here, ‘B’ stands for ’bracket’ ,
’O’for ‘of’ ,
‘D’ for’ division’
‘M’ for ‘multiplication’,
‘A’ for ‘addition’ and
‘S’ for ‘subtraction’.
Thus, in simplifying an expression, first of all the brackets must be removed, strictly in the order(), {} and [].
After removing the brackets, we must use the following operations strictly in the order:
(1)of (2)division (3) multiplication (4)addition (5)subtraction.
II. Modulus of a real number : Modulus of a real number x can be defined as
Thus, |5|=5 and |-5|=-(-5)=5.
III. Virnaculum (or bar): Whenever an expression or question contains Virnaculum, then before applying the ‘BODMAS’ rule, we first simplify the given expression under the Virnaculum.
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