BODMAS Simplification With Complex Brackets
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
| Right Option : B | |||
| View Explanation | |||
| Right Option : D | |||
| View Explanation | |||
| Right Option : B | |||
| View Explanation | |||
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