#### • Class 11 Physics Demo

Explore Related Concepts

# Bodmas Rule

Introduction to BODMAS :

BODMAS was introduced by Achilles Reselfelt to help in solving mathematical problem involving operational signs. Whenever an operation is introduced in a sum,BODMAS rule is applicable. The BODMAS rule determines the order of operations.

BODMAS Means:

B = brackets
o = of                              (power  and square root of the terms are carried )
d = division                      (operation carried out from left- right )
m = multiplication          (operation carried out from left- right )
s = subtraction
First do bracket then powers of next do Division and multiplication then addition and subtraction of the sum. Concerned to bracket,if expression contains all the three types of brackets, the first to be disposed of are round bracket followed by curly brackets and square brackets in turn.

Solve the Problem using BODMAS Rule:

1)   6 + 2*4

Solution:   BODMAS rule is applied here
= 6 + 2*4   multiply the number and then add the numbers
= 6 + 8
= 14

2)  (4 + 5) ÷ 3 + 5

Solution:   Using BODMAS rule
= (4 + 5) ÷ 3 + 5 Bracket is removed first
=   9 ÷ 3 + 5             Division is carried out  and then addition
=   3 + 5
= 8

3)  (4 * 2 + 3)*(10 - 6)*12

Solution:
Step 1:  First simplify the term inside simple bracket by BODMAS rule                                       (solve the bracket and then multiplication is carried out from left to right)
(8 + 3)*(10 - 6)*12

Step 2:  addition and Subtraction is carried out.
11 * 4 * 12

Step 3:  Multiplication is carried out between the term.
528

Fraction and Order of Operation:

1) 2 + $\frac{3}{2}$* 8

Solution:

Step 1: division is carried out first
2 + 3*4

Step 2: Multiply the number and then add from left to right
= 2 + 12
= 14

2)  4 + $\frac{2}{3}$ - 3 + $\frac{1}{2}$

Solution:

Step 1: Taking over  a common denominator between 3 and 2 is 6 division                                  is carried out first

$\frac{6*4}{6}$+$\frac{2*2}{6}$-$\frac{3*6}{6}$+$\frac{3}{6}$

Step 2:  Multiply the numerator

$\frac{24}{6}$+$\frac{4}{6}$-$\frac{18}{6}$+$\frac{3}{6}$

Step 3: add the fractions over a common denominator to a single fraction.

= $\frac{24+4-18+3}{6}$

Step 4: Evaluate using BODMAS (first addition then subtraction)

=  $\frac{5}{6}$