__IMPORTANT CONCEPTS__

**I.**This rule depicts the correct sequence in which the operations are to be executed,so as to find out the value of a given expression.

__’BODMAS’Rule__:Here, ‘B’ stands for ’bracket’ ,’O’for ‘of’ , ‘D’ for’ division’ and ‘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.

**Modulus of a real number a is defined as |a| ={a, if a>0**

__II. Modulus of a real number__:-a, if a<0

Thus, |5|=5 and |-5|=-(-5)=5.

III. Virnaculum (or bar): When an expression contains Virnaculum, before applying the ‘BODMAS’ rule, we simplify the expression under the Virnaculum.

## SOLVED EXAMPLES

**QUE - 12.05*5.4+0.6**

Given exp. = 12.05*(5.4/0.6) = (12.05*9) = 108.45

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**0.6*0.6+0.6*0.6 ( Bank P.O 2003)**

Given exp. = 0.6*0.6+(0.6*6) = 0.36+0.1 = 0.46

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**A man divides Rs. Among 5 sons,4daughters and 2 nephews .If each daughter receives four times as much as each nephews and each son receives five times as much as each nephews ,how much does each daughter receive?**

Let the share of each nephews be Rs.x.

Then,share of each daughter=rs4x;share of each son=Rs.5x;

So,5*5x+4*4x+2*x=8600

25x+16x+2x=8600

=43x=8600

x=200