BODMAS Simplification With Complex Brackets


 
 
Concept Explanation
 

BODMAS Simplification With Complex Brackets

We must remember the word BODMAS in solving sums on simplification.

 BODMAS stands for

Brackets in the order ( ), { }and [ ]  

Order of <roots Or powers >

Division, Multiplication, Addition and Subtraction

Simplification or simplify fractions means to simplify a complicated mathematical expression to get a single or direct answer.

The DMAS Rule -

Division First
Multiplication Second
Addition Third
Subtraction Last

Let us now learn to solve numerical expressions involving brackets. Most commonly used brackets are:

Brackets symbol Name
(  ) Parantheses or Round brackets
{  } Curly brackets
[  ] Square brackets

Illustration 1 : Solve 12 + [14 - ( 8 - 4) - 2 ]

Step 1: Solve the simple bracket first , ( 8 - 4 ) = 4

Step 2: After solving the simple bracket we will solve the square bracket, [ 14 - 4 -2 ] = 8

Step 3: Now we solve the complete statement as follows

12 + [14 - ( 8 - 4) - 2 ]                     [ Removing Round brackets ]

= 12 + [14 - 4 - 2 ]                         [ Removing Square brackets ]

= 12 + 8 = 20

Hence the result of  12 + [14 - ( 8 - 4) - 2 ] = 20

Illustration 2: Simplify 27 - [5 + {28 - (17 - 7)}]

Solution:    We have 27 - [5 + {28 - (17 - 7)}]

               = 27 - [5 + {28 - 10}]                                        [ Removing Round brackets ]

               = 27 - [5 + 18]                                                [ Removing Curly brackets ]

               = 27 - 23                                                        [ Removing Square brackets ]

               = 4

Sample Questions
(More Questions for each concept available in Login)
Question : 1

1800div10{(12-6)+(24-12)}

Right Option : B
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Explanation
Question : 2

16-left [ 5-2+left { 7: of: -(6div3times 2-1+3) right } right ]

Right Option : C
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Explanation
Question : 3

7+5times (4times 8-9)

Right Option : D
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Explanation
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