BODMAS Simplification With Simple Brackets


 
 
Concept Explanation
 

BODMAS Simplification With Simple 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.

Illustration 1 : Solve  4 ( 10 + 15 ÷ 5 × 4 - 2 × 2 )

Solve the Brackets:

Here, you must calculate the inside bracket first.

4 ( 10 + 15 ÷ 5 × 4 - 2 × 2 )

Within the Bracket, solve the division section first

4 ( 10 + 15 ÷ 5 × 4 - 2 × 2 ) = 4 ( 10 + 3 × 4 - 2 × 2 )

Next, within the bracket itself, solve the multiplication ( from left to right )

4 ( 10 + 3 × 4 - 2 × 2 ) = 4 ( 10 + 12 - 4 )

Next, within the bracket, solve the addition

4 ( 10 + 12 - 4 ) =  4 ( 22 - 4 )

At last, within the bracket, solve the subtraction:

 4 ( 22 - 4 ) =  4 ( 18 )

Once the bracket is solved, pick up the number from the outside and  multiply:

= 4 × 18  = 72

So,the result of 4 ( 10 + 15 ÷ 5 × 4 - 2 × 2 ) = 72

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

Solve:  2 ( 10 + 15 ÷ 5 × 5 - 2 × 5 )

Right Option : A
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Explanation
Question : 2

(30 / 5 + 28 - 20) + (3 +5 - 0 x 5 + 3 - 2 )

Right Option : B
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Explanation
Question : 3

Simplify the given expression :

 3 ( 35 + 15 ÷ 5 × 6- 2 × 3) 

Right Option : D
View Explanation
Explanation
 
 
 
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