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 : A | |||
| View Explanation | |||
1800 | |||
| Right Option : B | |||
| View Explanation |
Students / Parents Reviews [10]
Being a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
Prisha Gupta
8thIt has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Barkha Arora
10thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
Cheshta
10thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
8thI have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
Yatharthi Sharma
10thAbout Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
Shreya Shrivastava
8thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
7thAbhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
Om Umang
10thIt was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
Eshan Arora
8thMy experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
